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  1. Z/(1-sqrt(q))2Phi1(q,sqrt(q);sqrt(q^3);z)=Sum z^k/(1-q^(k-1/2))‏‎ (2 revisions)
  2. Derivative of Bessel J with respect to its order‏‎ (2 revisions)
  3. Arcsin cdf‏‎ (2 revisions)
  4. Padovan polynomials‏‎ (2 revisions)
  5. Integral (t-b)^(x-1)(a-t)^(y-1)dt=(a-b)^(x+y-1)B(x,y)‏‎ (2 revisions)
  6. Prime number theorem, logarithmic integral‏‎ (2 revisions)
  7. 1/q-number as a q-number‏‎ (2 revisions)
  8. Relationship between Bessel Y sub n and Bessel Y sub -n‏‎ (2 revisions)
  9. Halving identity for cosh‏‎ (2 revisions)
  10. Narumi polynomials‏‎ (2 revisions)
  11. Integral of Bessel J for nu=n+1‏‎ (2 revisions)
  12. Pidduck polynomial‏‎ (2 revisions)
  13. Pythagorean identity for coth and csch‏‎ (2 revisions)
  14. Squares of theta relation for Jacobi theta 4 and Jacobi theta 4‏‎ (2 revisions)
  15. Functions named after Carl Gustav Jacob Jacobi‏‎ (2 revisions)
  16. Logarithm at -i‏‎ (2 revisions)
  17. Recurrence relation for Struve fuction‏‎ (2 revisions)
  18. Gieseking constant‏‎ (2 revisions)
  19. 2Phi1(q,-1;-q;z)=1+2Sum z^k/(1+q^k)‏‎ (2 revisions)
  20. Matsumoto zeta function‏‎ (2 revisions)
  21. Mertens function‏‎ (2 revisions)
  22. Humbert polynomials‏‎ (2 revisions)
  23. Derivative of cosine integral‏‎ (2 revisions)
  24. Riemann zeta at even integers‏‎ (2 revisions)
  25. Sum of even indexed Fibonacci numbers‏‎ (2 revisions)
  26. Cauchy pdf‏‎ (2 revisions)
  27. Two-sided inequality for e^(x^2) integral from x to infinity e^(-t^2) dt for non-negative real x‏‎ (2 revisions)
  28. Pell constant is irrational‏‎ (2 revisions)
  29. Dirichlet function‏‎ (2 revisions)
  30. Book:W.N. Bailey/Generalized Hypergeometric Series‏‎ (2 revisions)
  31. 1F1(a;2a;z)1F1(b;2b;-z)=2F3(a/2+b/2,a/2+b/2+1/2;a+1/2,b+1/2,a+b;z^2/4)‏‎ (2 revisions)
  32. Natural number‏‎ (2 revisions)
  33. Relationship between logarithm and Mangoldt‏‎ (2 revisions)
  34. Dickman–de Bruijn function‏‎ (2 revisions)
  35. Pincherle polynomials‏‎ (2 revisions)
  36. T n(x)=Sum (-1)^k n!/((2k)! (n-2k)!) (1-x^2)^k x^(n-2k)‏‎ (2 revisions)
  37. Libera operator‏‎ (2 revisions)
  38. Q-number of a negative‏‎ (2 revisions)
  39. F(-n)=(-1)^(n+1)F(n)‏‎ (2 revisions)
  40. Logarithm at i‏‎ (2 revisions)
  41. Relationship between cosh, inverse Gudermannian, and sec‏‎ (2 revisions)
  42. Laplace cdf‏‎ (2 revisions)
  43. Euler numbers‏‎ (2 revisions)
  44. Book:Norman L. Johnson/Continuous Univariate Distributions Volume 2/Second Edition‏‎ (2 revisions)
  45. Log((1+z)/(1-z)) as continued fraction‏‎ (2 revisions)
  46. Ramanujan constant‏‎ (2 revisions)
  47. H (1/2)(z)=sqrt(2/(pi z))(1-cos(z))‏‎ (2 revisions)
  48. Mott polynomial‏‎ (2 revisions)
  49. Integral of (1+bt^z)^(-y)t^x dt = (1/z)*b^(-(x+1)/z) B((x+1)/z,y-(x+1)/z)‏‎ (2 revisions)
  50. Nested radical constant‏‎ (2 revisions)
  51. Asymptotic formula for partition function‏‎ (2 revisions)
  52. Paper:James Whitbread Lee Glaisher/On the Sums of the Inverse Powers of the Prime Numbers‏‎ (2 revisions)
  53. Riemann Siegel theta function‏‎ (2 revisions)
  54. Sierpiński constant‏‎ (2 revisions)
  55. Limit of (1/Gamma(c))*2F1(a,b;c;z) as c approaches -m‏‎ (2 revisions)
  56. Totient‏‎ (2 revisions - redirect page)
  57. Logarithm at minus 1‏‎ (2 revisions)
  58. Hurwitz zeta absolute convergence‏‎ (2 revisions)
  59. Relationship between sinh, inverse Gudermannian, and tan‏‎ (2 revisions)
  60. Integral t^(x-1)(1-t)^(y-1)(1+bt)^(-x-y)dt = (1+b)^(-x)B(x,y)‏‎ (2 revisions)
  61. Sinh is odd‏‎ (2 revisions)
  62. Laplace pdf‏‎ (2 revisions)
  63. Q-Polygamma function‏‎ (2 revisions)
  64. -log(1-x) less than x/(1-x)‏‎ (2 revisions)
  65. Logarithm of quotient of Jacobi theta 3 equals a sum of sines‏‎ (2 revisions)
  66. Cosh of a sum‏‎ (2 revisions)
  67. Multiple gamma function‏‎ (2 revisions)
  68. Relationship between csch, inverse Gudermannian, and cot‏‎ (2 revisions)
  69. Paper:Charles Watkins Merrifield/The Sums of the Series of the Reciprocals of the Prime Numbers and of Their Powers‏‎ (2 revisions)
  70. Integral of (1+t)^(2x-1)(1-t)^(2y-1)(1+t^2)^(-x-y)dt=2^(x+y-2)B(x,y)‏‎ (2 revisions)
  71. Bernoulli polynomial and Hurwitz zeta‏‎ (2 revisions)
  72. Series for erf with exponential factored out‏‎ (2 revisions)
  73. Book:George E. Andrews/Special Functions‏‎ (2 revisions)
  74. Sum rule for derivatives‏‎ (2 revisions)
  75. Book:Wilhelm Magnus/Formulas and Theorems for the Special Functions of Mathematical Physics/Third Edition‏‎ (2 revisions)
  76. General Dirichlet series‏‎ (2 revisions)
  77. Relationship between Chebyshev U and Gegenbauer C‏‎ (2 revisions)
  78. Neumann polynomial‏‎ (2 revisions)
  79. Hypergeometric 2F3‏‎ (2 revisions)
  80. B(x,y)=2^(1-x-y)integral (1+t)^(x-1)(1-t)^(y-1)+(1+t)^(y-1)(1-t)^(x-1) dt‏‎ (2 revisions)
  81. Paper:Johann Cigler/q-Fibonacci Polynomials‏‎ (2 revisions)
  82. E(2,1)(-z^2)=cos(z)‏‎ (2 revisions)
  83. Pythagorean identity for tanh and sech‏‎ (2 revisions)
  84. Stirling polynomial‏‎ (2 revisions)
  85. L n'(0)=-n‏‎ (2 revisions)
  86. Faber F2 is continuous‏‎ (2 revisions)
  87. Limit of erf when z approaches infinity and the modulus of arg(z) is less than pi/4‏‎ (2 revisions)
  88. Touchard polynomial‏‎ (2 revisions)
  89. Goh-Schmutz constant‏‎ (2 revisions)
  90. Airy zeta function at 2‏‎ (2 revisions)
  91. Relationship between cosh and hypergeometric 0F1‏‎ (2 revisions)
  92. Relationship between sinh and hypergeometric 0F1‏‎ (2 revisions)
  93. Polygamma series representation‏‎ (2 revisions)
  94. K-function‏‎ (2 revisions)
  95. E (0,1)(z)=1/(1-z) for abs(z) less than 1‏‎ (2 revisions)
  96. H (nu)(x) geq 0 for x gt 0 and nu geq 1/2‏‎ (2 revisions)
  97. Halving identity for tangent (3)‏‎ (2 revisions)
  98. Z coth(z) = sum of 2^(2n)B (2n) z^(2n)/(2n)!‏‎ (2 revisions)
  99. Period of tanh‏‎ (2 revisions)
  100. Elliptic gamma function‏‎ (2 revisions)
  101. Sylvester's sequence‏‎ (2 revisions)
  102. Book:Yudell L. Luke/The Special Functions And Their Approximations, Volume I‏‎ (2 revisions)
  103. Relationship between Chebyshev U and hypergeometric 2F1‏‎ (2 revisions)
  104. Heaviside step function‏‎ (2 revisions)
  105. Cyclotomic polynomials‏‎ (2 revisions)
  106. Hypergeometric 3F2‏‎ (2 revisions)
  107. Riemann function is almost nowhere differentiable‏‎ (2 revisions)
  108. Integral of t^(x-1)(1-t^z)^(y-1) dt=(1/z)B(x/z,y)‏‎ (2 revisions)
  109. Takagi function is nowhere differentiable‏‎ (2 revisions)
  110. F(2n+1)=F(n+1)^2+F(n)^2‏‎ (2 revisions)
  111. Catalan's constant using Dirichlet beta‏‎ (2 revisions)
  112. Weierstrass zeta‏‎ (2 revisions)
  113. Alexander operator‏‎ (2 revisions)
  114. Orthogonality of Chebyshev U on (-1,1)‏‎ (2 revisions)
  115. Taylor series for Gudermannian‏‎ (2 revisions)
  116. Ramanujan tau is multiplicative‏‎ (2 revisions)
  117. Bessel‏‎ (2 revisions - redirect page)
  118. Product of Weierstrass elementary factors is entire‏‎ (2 revisions)
  119. Fresnel S in terms of erf‏‎ (2 revisions)
  120. Boole polynomials‏‎ (2 revisions)
  121. The Euler-Mascheroni constant exists‏‎ (2 revisions)
  122. Normal cdf‏‎ (2 revisions)
  123. B(x,y)B(x+y,z)=B(y,z)B(y+z,x)‏‎ (2 revisions)
  124. Riemann function is continuous‏‎ (2 revisions)
  125. Bolzano function is continuous‏‎ (2 revisions)
  126. Q-Beta function‏‎ (2 revisions)
  127. Q-Gamma at 1‏‎ (2 revisions)
  128. F(n+1)F(n-1)-F(n)^2=(-1)^n‏‎ (2 revisions)
  129. (c-a-b)2F1+a(1-z)2F1(a+1)-(c-b)2F1(b-1)=0‏‎ (2 revisions)
  130. Relation between polygamma and Hurwitz zeta‏‎ (2 revisions)
  131. Constant functions are elliptic functions‏‎ (2 revisions)
  132. Weierstrass factorization of cosh‏‎ (2 revisions)
  133. Relationship between cosine, imaginary number, logarithm, and the golden ratio‏‎ (2 revisions)
  134. Denisyuk polynomials‏‎ (2 revisions)
  135. Derivative of inverse error function‏‎ (2 revisions)
  136. Laurent series for log((z+1)/(z-1)) for absolute value of z greater than 1‏‎ (2 revisions)
  137. Logarithmic derivative of Jacobi theta 3 equals a sum of sines‏‎ (2 revisions)
  138. Arithmetic zeta function‏‎ (2 revisions)
  139. Integral of (z^n)log(z)dz=(z^(n+1)/(n+1))log(z)-z^(n+1)/(n+1)^2 for integer n neq -1‏‎ (2 revisions)
  140. Derivative of versine‏‎ (2 revisions)
  141. Periodic function‏‎ (2 revisions)
  142. Series for log(z) for Re(z) greater than 0‏‎ (2 revisions)
  143. Doubling identity for cosh (2)‏‎ (2 revisions)
  144. Square numbers‏‎ (2 revisions)
  145. Entire exponential integral‏‎ (2 revisions)
  146. Lerch transcendent polylogarithm‏‎ (2 revisions)
  147. Logarithm (multivalued) of a quotient is a difference of logarithms (multivalued)‏‎ (2 revisions)
  148. Relationship between Weber function 2 and Struve function 2‏‎ (2 revisions)
  149. D/dz(z^(nu)H (nu))=z^(nu)H (nu-1)‏‎ (2 revisions)
  150. B(x,y)B(x+y,z)=B(z,x)B(x+z,y)‏‎ (2 revisions)
  151. Paper:Maruti Ram Murty/The Fibonacci Zeta Function‏‎ (2 revisions)
  152. Integral representation of Struve function‏‎ (2 revisions)
  153. (c-a-b)2F1-(c-a)2F1(a-1)+b(1-z)2F1(b+1)=0‏‎ (2 revisions)
  154. Relationship between cosine and hypergeometric 0F1‏‎ (2 revisions)
  155. Orthogonality of Laguerre L‏‎ (2 revisions)
  156. Bell numbers‏‎ (2 revisions)
  157. Paper folding constant‏‎ (2 revisions)
  158. Laurent series of the Riemann zeta function‏‎ (2 revisions)
  159. Taylor series for sinh‏‎ (2 revisions)
  160. Log(z)=log(10)log 10(z)‏‎ (2 revisions)
  161. Ramanujan tau of a power of a prime‏‎ (2 revisions)
  162. Gauss' formula for gamma function‏‎ (2 revisions)
  163. Integral of Bessel J for Re(nu) greater than -1‏‎ (2 revisions)
  164. Derivative of zeta at -1‏‎ (2 revisions)
  165. Peters polynomials‏‎ (2 revisions)
  166. Product representation of totient‏‎ (2 revisions)
  167. Krawtchouk polynomial‏‎ (2 revisions)
  168. Generating function for Laguerre L‏‎ (2 revisions)
  169. Relationship between Lerch transcendent and Lerch zeta‏‎ (2 revisions)
  170. Normalized sinc‏‎ (2 revisions)
  171. Relationship between sech, inverse Gudermannian, and cos‏‎ (2 revisions)
  172. B(x,y)B(x+y,z)B(x+y+z,u)=Gamma(x)Gamma(y)Gamma(z)Gamma(u)/Gamma(x+y+z+u)‏‎ (2 revisions)
  173. Polar coordinates‏‎ (2 revisions)
  174. Sum of Lucas numbers‏‎ (2 revisions)
  175. Euler-Jackson q-difference operator‏‎ (2 revisions)
  176. Q-theta function‏‎ (2 revisions)
  177. (n+1)L (n+1)(x) = (2n+1-x)L n(x)-nL (n-1)(x)‏‎ (2 revisions)
  178. Alternating sum over bottom of binomial coefficient with top fixed equals 0‏‎ (2 revisions)
  179. Relationship between cot, Gudermannian, and csch‏‎ (2 revisions)
  180. Bell polynomial‏‎ (2 revisions)
  181. Porter's constant‏‎ (2 revisions)
  182. Sum of sum of divisors function equals product of Riemann zeta for Re(z) greater than k+1‏‎ (2 revisions)
  183. Lefschetz zeta function‏‎ (2 revisions)
  184. Euler totient is multiplicative‏‎ (2 revisions)
  185. Log 10(z)=log(z)/log(10)‏‎ (2 revisions)
  186. Hankel H (2) in terms of csc and Bessel J‏‎ (2 revisions)
  187. Hypergeometric 0F3‏‎ (2 revisions)
  188. Artin constant‏‎ (2 revisions)
  189. Binomial coefficient (n choose n) equals 1‏‎ (2 revisions)
  190. Functional equation for Riemann xi‏‎ (2 revisions)
  191. Logarithm (multivalued) of product is a sum of logarithms (multivalued)‏‎ (2 revisions)
  192. Vercosine‏‎ (2 revisions)
  193. Meromorphic continuation of q-exponential E sub q‏‎ (2 revisions)
  194. Darboux function is continuous‏‎ (2 revisions)
  195. Norton's constant‏‎ (2 revisions)
  196. B(x,y+1)=(y/(x+y))B(x,y)‏‎ (2 revisions)
  197. Sum of cosh and sinh‏‎ (2 revisions)
  198. Q-Gaussian distribution‏‎ (2 revisions)
  199. Limiting value of Fresnel C‏‎ (2 revisions)
  200. Weierstrass factorization of sinh‏‎ (2 revisions)
  201. Anger derivative recurrence‏‎ (2 revisions)
  202. Derivative is a linear operator‏‎ (2 revisions)
  203. Bernardi operator‏‎ (2 revisions)
  204. Irrational‏‎ (2 revisions)
  205. 1/B(n,m)=m((n+m-1) choose (n-1))‏‎ (2 revisions)
  206. Hahn-Exton q-Bessel‏‎ (2 revisions)
  207. NC n^(lambda)(x)=2lambda(xC (n-1)^(lambda+1)(x)-C (n-2)^(lambda+1)(x))‏‎ (2 revisions)
  208. Hypergeometric 1F0‏‎ (2 revisions)
  209. Paper:Harry Bateman/Some Properties of a certain Set of Polynomials‏‎ (2 revisions)
  210. Binomial series‏‎ (2 revisions)
  211. Erdős-Borwein Constant is irrational‏‎ (2 revisions)
  212. Böhmer S‏‎ (2 revisions)
  213. Generating relation for Bateman F‏‎ (2 revisions)
  214. 2F1(1/2,1;3/2;z^2)=log((1+z)/(1-z))/(2z)‏‎ (2 revisions)
  215. B(x,y+1)=(y/x)B(x+1,y)‏‎ (2 revisions)
  216. Paper:R. M. Corless/On the Lambert W function‏‎ (2 revisions)
  217. Q-Hermite polynomial‏‎ (2 revisions)
  218. Limiting value of Fresnel S‏‎ (2 revisions)
  219. Quotient rule‏‎ (2 revisions)
  220. Twin prime constant‏‎ (2 revisions)
  221. (n+2lambda)C n^(lambda)(x)=2lambda(C n^(lambda+1)(x)-xC (n-1)^(lambda+1)(x))‏‎ (2 revisions)
  222. P-adic zeta function‏‎ (2 revisions)
  223. Relationship between tan and tanh‏‎ (2 revisions)
  224. Khinchin's constant‏‎ (2 revisions)
  225. Gelfond-Schneider constant is transcendental‏‎ (2 revisions)
  226. Hahn polynomial‏‎ (2 revisions)
  227. Series for polygamma in terms of Riemann zeta‏‎ (2 revisions)
  228. L(n)=F(n+1)+F(n-1)‏‎ (2 revisions)
  229. Erf of conjugate is conjugate of erf‏‎ (2 revisions)
  230. T (n+1)(x)-2xT n(x)+T (n-1)(x)=0‏‎ (2 revisions)
  231. Li 2(z)+Li 2(1-z)=pi^2/6-log(z)log(1-z)‏‎ (2 revisions)
  232. Functional equation for Riemann zeta with cosine‏‎ (2 revisions)
  233. C(a-(c-b)z)2F1-ac(1-z)2F1(a+1)+(c-a)(c-b)z2F1(c+1)=0‏‎ (2 revisions)
  234. Reciprocal zeta function‏‎ (2 revisions)
  235. Relationship between Meixner polynomials and Charlier polynomials‏‎ (2 revisions)
  236. Paper:Richard Askey/The q-Gamma and q-Beta functions‏‎ (2 revisions)
  237. Sum of divisors functions written in terms of partition function‏‎ (2 revisions)
  238. Tanh of a sum‏‎ (2 revisions)
  239. Quotient rule for derivatives‏‎ (2 revisions)
  240. Two-dimensional Laplace transform‏‎ (2 revisions)
  241. H (-(n+1/2))(z)=(-1)^n J (n+1/2)(z) for integer n geq 0‏‎ (2 revisions)
  242. Relationship between tangent, Gudermannian, and sinh‏‎ (3 revisions)
  243. Book:F.E. Relton/Applied Bessel Functions‏‎ (3 revisions)
  244. Sum of values of sinc‏‎ (3 revisions)
  245. Exponential e in terms of basic hypergeometric phi‏‎ (3 revisions)
  246. Hypergeometric 1F2‏‎ (3 revisions)
  247. Derivative of arccot‏‎ (3 revisions)
  248. Paper:Harvey Dubner/Factorial and Primorial Primes‏‎ (3 revisions)
  249. Riemann-Siegel Z‏‎ (3 revisions)
  250. Doubly periodic function‏‎ (3 revisions)
  251. Q-Euler formula for E sub q‏‎ (3 revisions)
  252. Book:Johan Thim/Continuous Nowhere Differentiable Functions‏‎ (3 revisions)
  253. Li 2(z)=-Li 2(1/z)-(1/2)(log z)^2 + i pi log(z) + pi^2/3‏‎ (3 revisions)
  254. Relationship between cos and cosh‏‎ (3 revisions)
  255. Dawson D-‏‎ (3 revisions)
  256. Modular form‏‎ (3 revisions)
  257. Relationship between coth and csch‏‎ (3 revisions)
  258. Relationship between Chebyshev T and Gegenbauer C‏‎ (3 revisions)
  259. Antiderivative of inverse error function‏‎ (3 revisions)
  260. Derivative of arccoth‏‎ (3 revisions)
  261. Asymptotic behavior of Sievert integral‏‎ (3 revisions)
  262. Paper:James Whitbread Lee Glaisher/On certain definite integrals involving the exponential-integral‏‎ (3 revisions)
  263. Integral of inverse erf from 0 to 1‏‎ (3 revisions)
  264. L(n+1)L(n-1)-L(n)^2=5(-1)^(n+1)‏‎ (3 revisions)
  265. Q-Euler formula for e sub q‏‎ (3 revisions)
  266. Mills' constant‏‎ (3 revisions)
  267. Paper:S.L. Basin/A Primer on the Fibonacci Sequence Part I‏‎ (3 revisions)
  268. Integral t^(x-1)(1+bt)^(-x-y) dt = b^(-x) B(x,y)‏‎ (3 revisions)
  269. Digamma at z+n‏‎ (3 revisions)
  270. Sum of fourth powers of Jacobi theta 2 and Jacobi theta 4 equals fourth power of Jacobi theta 3‏‎ (3 revisions)
  271. Fermat numbers‏‎ (3 revisions)
  272. Logarithm of quotient of Jacobi theta 2 equals the log of a quotient of cosines + a sum of sines‏‎ (3 revisions)
  273. Halving identity for tangent (1)‏‎ (3 revisions)
  274. Legendre chi in terms of polylogarithm‏‎ (3 revisions)
  275. Q-difference equation for q-exponential E sub 1/q‏‎ (3 revisions)
  276. Reciprocal Riemann zeta‏‎ (3 revisions)
  277. 1F1(a;r;z)1F1(a;r;-z)=2F3(a,r-a;r,r/2,r/2+1/2;z^2/4)‏‎ (3 revisions)
  278. Lower incomplete gamma‏‎ (3 revisions)
  279. Relationship between Chebyshev T and hypergeometric 2F1‏‎ (3 revisions)
  280. Havercosine‏‎ (3 revisions)
  281. Integral of log of inverse erf from 0 to 1‏‎ (3 revisions)
  282. Dickson polynomial‏‎ (3 revisions)
  283. E(1,1)(z)=exp(z)‏‎ (3 revisions)
  284. Q-number when a=n is a natural number‏‎ (3 revisions)
  285. Weierstrass elementary factors inequality‏‎ (3 revisions)
  286. Minkowski question mark‏‎ (3 revisions)
  287. Book:Richard Beals/Special functions, a graduate text‏‎ (3 revisions)
  288. Cell‏‎ (3 revisions)
  289. Derivative of Jacobi theta 1 at 0‏‎ (3 revisions)
  290. Relationship between the Fransén–Robinson constant, e, pi, and logarithm‏‎ (3 revisions)
  291. Q-difference equation for q-exponential E sub q‏‎ (3 revisions)
  292. Reciprocal Riemann zeta in terms of Mobius‏‎ (3 revisions)
  293. 1Phi0(a;;z)1Phi0(b;;az)=1Phi0(ab;;z)‏‎ (3 revisions)
  294. Lucas‏‎ (3 revisions)
  295. Abs(e^z-1) less than or equal to e^(abs(z))-1 less than or equal to abs(z)e^(abs(z))‏‎ (3 revisions)
  296. Relationship between Struve function and hypergeometric pFq‏‎ (3 revisions)
  297. Haversine‏‎ (3 revisions)
  298. Q-Fibonacci polynomials‏‎ (3 revisions)
  299. (c-2a-(b-a)z)2F1+a(1-z)2F1(a+1)-(c-a)2F1(a-1)=0‏‎ (3 revisions)
  300. Complex conjugate of argument of error function‏‎ (3 revisions)
  301. Weierstrass sigma‏‎ (3 revisions)
  302. Paper:Tom H. Koornwinder/q-Special functions, a tutorial‏‎ (3 revisions)
  303. Rodrigues formula for Meixner polynomial‏‎ (3 revisions)
  304. Integration by parts‏‎ (3 revisions)
  305. Digamma functional equation‏‎ (3 revisions)
  306. Sum of odd indexed Fibonacci numbers‏‎ (3 revisions)
  307. Gamma function written as a limit of a factorial, exponential, and a rising factorial‏‎ (3 revisions)
  308. Relationship between the Gegenbauer C polynomials and the Jacobi P polynomials‏‎ (3 revisions)
  309. Integral of (t-b)^(x-1)(a-t)^(y-1)/(c-t)^(x+y) dt = (a-b)^(x+y-1)/((c-a)^x (c-b)^y) B(x,y)‏‎ (3 revisions)
  310. Series for log(Riemann zeta) in terms of Mangoldt function‏‎ (3 revisions)
  311. Distance to integers‏‎ (3 revisions)
  312. Book:George Eyre Andrews/Number Theory‏‎ (3 revisions)
  313. Tetrahedral numbers‏‎ (3 revisions)
  314. Value of polygamma at positive integer‏‎ (3 revisions)
  315. Nielsen-Ramanujan sequence‏‎ (3 revisions)
  316. B(x,y)=integral (t^(x-1)+t^(y-1))(1+t)^(-x-y) dt‏‎ (3 revisions)
  317. Paper:John H. Halton/On a General Fibonacci Identity‏‎ (3 revisions)
  318. Signed Lah numbers‏‎ (3 revisions)
  319. E(2,1)(z)=cosh(sqrt(z))‏‎ (3 revisions)
  320. Q-Bessel functions‏‎ (3 revisions)
  321. (c-a-1)2F1+a2F1(a+1)-(c-1)2F1(c-1)=0‏‎ (3 revisions)
  322. Complex number‏‎ (3 revisions)
  323. Paper:V.E. Hoggatt, Jr/Triangular numbers‏‎ (3 revisions)
  324. Beta as improper integral‏‎ (3 revisions)
  325. Lattice generated by doubly periodic periods‏‎ (3 revisions)
  326. Euler product‏‎ (3 revisions)
  327. Arithmetic functions‏‎ (3 revisions)
  328. Integral of (t-b)^(x-1)(a-t)^(y-1)/(t-x)^(x+y) dt=(a-b)^(x+y-1)/((a-c)^x(b-c)^y) B(x,y)‏‎ (3 revisions)
  329. Derivative of the logarithm‏‎ (3 revisions)
  330. Entire‏‎ (3 revisions)
  331. Book:Harris Hancock/Lectures on the theory of elliptic functions‏‎ (3 revisions)
  332. Relationship between Hurwitz zeta and gamma function‏‎ (3 revisions)
  333. Relationship between Weber function 1 and Struve function 1‏‎ (3 revisions)
  334. Hypergeometric 4F1‏‎ (3 revisions)
  335. Euler's formula‏‎ (3 revisions)
  336. Limit of q-exponential E sub 1/q for 0 less than q less than 1‏‎ (3 revisions)
  337. Catalan's constant using Hurwitz zeta‏‎ (3 revisions)
  338. Gompertz constant‏‎ (3 revisions)
  339. Contour integral representation of reciprocal gamma‏‎ (3 revisions)
  340. Paper:Yilmaz Simsek/q-Dedekind type sums related to q-zeta function and basic L-series‏‎ (3 revisions)
  341. Beta as product of gamma functions‏‎ (3 revisions)
  342. Sister Celine's polynomials‏‎ (3 revisions)
  343. Fibonacci zeta at 1 is irrational‏‎ (3 revisions)
  344. Gamma recurrence relation‏‎ (3 revisions)
  345. 0F1(;r;z)0F1(;r;-z)=0F3(r,r/2,r/2+1/2;-z^2/4)‏‎ (3 revisions)
  346. Möbius function is multiplicative‏‎ (3 revisions)
  347. Relationship between exponential integral Ei, cosine integral, and sine integral‏‎ (3 revisions)
  348. Hypergeometric 0F0‏‎ (3 revisions)
  349. Paper:David Zeitlin/On Identities for Fibonacci Numbers‏‎ (3 revisions)
  350. T(n)=n(n+1)/2‏‎ (3 revisions)
  351. Van der Waerden function is continuous‏‎ (3 revisions)
  352. Abs(z)/4 less than abs(e^z-1) less than (7abs(z))/4 for 0 less than abs(z) less than 1‏‎ (3 revisions)
  353. Relationship between secant, Gudermannian, and cosh‏‎ (3 revisions)
  354. Hypergeometric functions footer‏‎ (3 revisions)
  355. Differential equation for Jacobi P‏‎ (3 revisions)
  356. L n(x)=(e^x/n!)d^n/dx^n(x^n e^(-x))‏‎ (3 revisions)
  357. Q-Gamma at z+1‏‎ (3 revisions)
  358. Relationship between Airy Ai and modified Bessel K‏‎ (3 revisions)
  359. Weierstrass factorization of cosine‏‎ (3 revisions)
  360. Convergence of Hypergeometric pFq‏‎ (3 revisions)
  361. Derivative of prime zeta‏‎ (3 revisions)
  362. Sum of squares of Fibonacci numbers‏‎ (3 revisions)
  363. 0F1(;r;z)0F1(;s;z)=2F1(r/2+s/2, r/2+s/2-1/2;r,s,r+s-1;4z)‏‎ (3 revisions)
  364. Logarithmic derivative of Jacobi theta 4 equals a sum of sines‏‎ (3 revisions)
  365. Relationship between incomplete beta and hypergeometric 2F1‏‎ (3 revisions)
  366. Riccati-Bessel S‏‎ (3 revisions)
  367. 2F1(1/2,1/2;3/2;z^2)=arcsin(z)/z‏‎ (3 revisions)
  368. Absolute convergence of secant zeta function‏‎ (3 revisions)
  369. Relationship between Weber function and Anger function‏‎ (3 revisions)
  370. Relationship between Airy Bi and modified Bessel I‏‎ (3 revisions)
  371. Orthogonality relation for cosine on (0,pi)‏‎ (3 revisions)
  372. Relationship between spherical Bessel y and cosine‏‎ (3 revisions)
  373. Partial derivative of beta function‏‎ (3 revisions)
  374. Chaitin's constant‏‎ (3 revisions)
  375. Logarithmic derivative of Riemann zeta in terms of Mangoldt function‏‎ (3 revisions)
  376. Derivative of Struve H0‏‎ (3 revisions)
  377. Squares of theta relation for Jacobi theta 1 and Jacobi theta 4‏‎ (3 revisions)
  378. Q-Binomial coefficient‏‎ (3 revisions)
  379. Q-exponential e sub 1/q‏‎ (3 revisions)
  380. Böhmer C‏‎ (3 revisions)
  381. Generating function for partition function‏‎ (3 revisions)
  382. 2F1(1/2,1;3/2;-z^2)=arctan(z)/z‏‎ (3 revisions)
  383. Relationship between sech and sec‏‎ (3 revisions)
  384. Integral representation of Struve function (3)‏‎ (3 revisions)
  385. Logarithm of a quotient of Jacobi theta 4 equals a sum of sines‏‎ (3 revisions)
  386. Continued fraction for 1/sqrt(pi) integral from -infinity to infinity of e^(-t^2)/(z-t) dt‏‎ (3 revisions)
  387. Relationship between cot and coth‏‎ (3 revisions)
  388. Beta in terms of power of t over power of (1+t)‏‎ (3 revisions)
  389. Book:T.S. Chihara/An Introduction to Orthogonal Polynomials‏‎ (3 revisions)
  390. Logarithmic derivative of Riemann zeta in terms of series over primes‏‎ (3 revisions)
  391. Relationship between integral of x*log(sin(x)), and Apéry's constant, pi, and logarithm‏‎ (3 revisions)
  392. Derivative of arccos‏‎ (3 revisions)
  393. Series for log(z+a) for positive a and Re(z) greater than -a‏‎ (3 revisions)
  394. Mersenne numbers‏‎ (3 revisions)
  395. Relationship between arcsin and arccsc‏‎ (3 revisions)
  396. Riemann zeta as contour integral‏‎ (3 revisions)
  397. E^x greater than (1+x/y)^y greater than exp(xy/(x+y) for x greater than 0 and y greater than 0)‏‎ (3 revisions)
  398. Logarithm of exponential‏‎ (3 revisions)
  399. X less than e^x-1 less than x/(1-x) for nonzero real x less than 1‏‎ (3 revisions)
  400. Relationship between coth, inverse Gudermannian, and csc‏‎ (3 revisions)
  401. Log a(b)=1/log b(a)‏‎ (3 revisions)
  402. 1/B(n,m)=n((n+m-1) choose (m-1))‏‎ (3 revisions)
  403. Derivative of arccosh‏‎ (3 revisions)
  404. Bessel J in terms of Bessel-Clifford‏‎ (3 revisions)
  405. Pi is irrational‏‎ (3 revisions)
  406. Squares of theta relation for Jacobi theta 3 and Jacobi theta 4‏‎ (3 revisions)
  407. Relationship between sine, Gudermannian, and tanh‏‎ (3 revisions)
  408. Integral representation of polygamma 2‏‎ (3 revisions)
  409. Book:Andrew Gray/A Treatise on Bessel Functions/Second Edition‏‎ (3 revisions)
  410. Faddeeva function‏‎ (3 revisions)
  411. Logarithm of product is a sum of logarithms‏‎ (3 revisions)
  412. Modified Struve function‏‎ (4 revisions)
  413. Relationship between coth and cot‏‎ (4 revisions)
  414. Pell constant‏‎ (4 revisions)
  415. Real and imaginary parts of log‏‎ (4 revisions)
  416. Coth of a sum‏‎ (4 revisions)
  417. Antiderivative of hyperbolic cosecant‏‎ (4 revisions)
  418. Relationship between sine, imaginary number, logarithm, and the golden ratio‏‎ (4 revisions)
  419. Barnes G at positive integer‏‎ (4 revisions)
  420. Polygamma multiplication formula‏‎ (4 revisions)
  421. E^x is greater than 1+x for nonzero real x‏‎ (4 revisions)
  422. Falling factorial‏‎ (4 revisions)
  423. Derivative of Bessel Y with respect to its order‏‎ (4 revisions)
  424. Jackson q-Bessel (2)‏‎ (4 revisions)
  425. Prime number theorem, pi and x/log(x)‏‎ (4 revisions)
  426. Q-derivative power rule‏‎ (4 revisions)
  427. Loggamma‏‎ (4 revisions)
  428. McCarthy function‏‎ (4 revisions)
  429. Hypergeometric 2F0‏‎ (4 revisions)
  430. Stieltjes constants‏‎ (4 revisions)
  431. Book:Johann Heinrich Graf/Einleitung in die Theorie der Gammafunktion und der Euler'schen Integrale‏‎ (4 revisions)
  432. Bessel polynomial generalized hypergeometric‏‎ (4 revisions)
  433. E^x is less than 1/(1-x) for nonzero real x less than 1‏‎ (4 revisions)
  434. U n(x)=(-i/2)(x+i sqrt(1-x^2))^n+(-i/2)(x-i sqrt(1-x^2))^n‏‎ (4 revisions)
  435. Anger three-term recurrence‏‎ (4 revisions)
  436. Relationship between csc, Gudermannian, and coth‏‎ (4 revisions)
  437. Relationship between tanh and tan‏‎ (4 revisions)
  438. Binet's formula‏‎ (4 revisions)
  439. Sum over bottom of binomial coefficient with top fixed equals 2^n‏‎ (4 revisions)
  440. Relationship between Sievert integral and exponential integral E‏‎ (4 revisions)
  441. Antiderivative of sech‏‎ (4 revisions)
  442. Relationship between logarithm and positive integer exponents‏‎ (4 revisions)
  443. Stirling numbers of the second kind‏‎ (4 revisions)
  444. Abel p‏‎ (4 revisions)
  445. Relationship between cosh and cos‏‎ (4 revisions)
  446. Imaginary number‏‎ (4 revisions)
  447. Barnes zeta function‏‎ (4 revisions)
  448. Relationship between Bessel I sub -1/2 and cosh‏‎ (4 revisions)
  449. Antiderivative of arccos‏‎ (4 revisions)
  450. Dirichlet series‏‎ (4 revisions)
  451. Bohr-Mollerup theorem‏‎ (4 revisions)
  452. Weierstrass elliptic‏‎ (4 revisions)
  453. Orthogonality of Chebyshev T on (-1,1)‏‎ (4 revisions)
  454. Incomplete Elliptic E‏‎ (4 revisions)
  455. Cellérier function‏‎ (4 revisions)
  456. Logarithmic derivative of Jacobi theta 1 equals cotangent + a sum of sines‏‎ (4 revisions)
  457. Relationship between csch and csc‏‎ (4 revisions)
  458. Bernstein B‏‎ (4 revisions)
  459. 1Phi0(a;;z) as infinite product‏‎ (4 revisions)
  460. Relationship between Weber function 0 and Struve function 0‏‎ (4 revisions)
  461. Relationship between prime zeta, Möbius function, logarithm, and Riemann zeta‏‎ (4 revisions)
  462. Logarithm diverges to negative infinity at 0 from right‏‎ (4 revisions)
  463. Dedekind zeta function‏‎ (4 revisions)
  464. Sinhc‏‎ (4 revisions)
  465. Logarithmic derivative of Jacobi theta 2 equals negative tangent + a sum of sines‏‎ (4 revisions)
  466. Relationship between Bessel I sub 1/2 and sinh‏‎ (4 revisions)
  467. Series for log(riemann zeta) over primes‏‎ (4 revisions)
  468. Binomial coefficient (n choose 0) equals 1‏‎ (4 revisions)
  469. Generalized q-Bessel‏‎ (4 revisions)
  470. Chebyshev psi function‏‎ (4 revisions)
  471. 2F0(a,b;;z)2F0(a,b;;-z)=4F1(a,b,a/2+b/2,a/2+b/2+1/2;a+b;4z^2)‏‎ (4 revisions)
  472. Derivative of arcsinh‏‎ (4 revisions)
  473. X/(1+x) less than 1-e^(-x) less than x for nonzero real x greater than -1‏‎ (4 revisions)
  474. E is limit of (1+1/n)^n‏‎ (4 revisions)
  475. 2F1(1,1;2;z)=-log(1-z)/z‏‎ (4 revisions)
  476. Pochhammer symbol with non-negative integer subscript‏‎ (4 revisions)
  477. Sum of Fibonacci numbers‏‎ (4 revisions)
  478. Limit of quotient of consecutive Fibonacci numbers‏‎ (4 revisions)
  479. Catalan's constant using Legendre chi‏‎ (4 revisions)
  480. Constant multiple rule for derivatives‏‎ (4 revisions)
  481. Soldner's Constant‏‎ (4 revisions)
  482. Chain rule for derivatives‏‎ (4 revisions)
  483. Value of Ai'(0)‏‎ (4 revisions)
  484. Paper:Edmund Landau/Sur la série des inverse de nombres de Fibonacci‏‎ (4 revisions)
  485. Book:Aleksandar Ivić/The Riemann Zeta-Function‏‎ (4 revisions)
  486. Book:Michael Wilensky/Ueber Besselsche Funktionen‏‎ (4 revisions)
  487. Trigamma‏‎ (4 revisions)
  488. Logarithm of a quotient is a difference of logarithms‏‎ (4 revisions)
  489. Ramanujan theta function‏‎ (4 revisions)
  490. Paper:H.J. Haubold/Mittag-Leffler Functions and Their Applications‏‎ (4 revisions)
  491. Series for log(z) for absolute value of (z-1) less than 1‏‎ (4 revisions)
  492. Erdős-Borwein Constant‏‎ (4 revisions)
  493. T(n+1)=T(n)+n+1‏‎ (4 revisions)
  494. Exponential of logarithm‏‎ (4 revisions)
  495. Relationship between Li 2(-1/x),Li 2(-x),Li 2(-1), and log^2(x)‏‎ (4 revisions)
  496. Digamma at 1‏‎ (4 revisions)
  497. Sum of totient equals z/((1-z) squared)‏‎ (4 revisions)
  498. Floor‏‎ (4 revisions)
  499. Value of Anger at 0‏‎ (4 revisions)
  500. Cotangent zeta function‏‎ (4 revisions)

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