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  1. (hist) ‎Bessel at n+1/2 in terms of Bessel polynomial ‎[475 bytes]
  2. (hist) ‎Limit of log(x)/x^a=0 ‎[474 bytes]
  3. (hist) ‎Euler phi ‎[474 bytes]
  4. (hist) ‎Generating relation for Bateman F ‎[473 bytes]
  5. (hist) ‎Value of derivative of trigamma at positive integer plus 1/2 ‎[473 bytes]
  6. (hist) ‎Weierstrass nowhere differentiable function ‎[473 bytes]
  7. (hist) ‎(c-2a-(b-a)z)2F1+a(1-z)2F1(a+1)-(c-a)2F1(a-1)=0 ‎[472 bytes]
  8. (hist) ‎Integral of Bessel J for nu=2n+1 ‎[472 bytes]
  9. (hist) ‎Digamma at z+n ‎[472 bytes]
  10. (hist) ‎Taylor series of log(1+z) ‎[472 bytes]
  11. (hist) ‎Clausen sine ‎[471 bytes]
  12. (hist) ‎Series for log(z) for absolute value of (z-1) less than 1 ‎[471 bytes]
  13. (hist) ‎Sum of cosh and sinh ‎[470 bytes]
  14. (hist) ‎Orthogonality of Laguerre L ‎[469 bytes]
  15. (hist) ‎F(-n)=(-1)^(n+1)F(n) ‎[469 bytes]
  16. (hist) ‎Airy zeta function ‎[468 bytes]
  17. (hist) ‎Relationship between sine, imaginary number, logarithm, and the golden ratio ‎[467 bytes]
  18. (hist) ‎Spherical Bessel y ‎[466 bytes]
  19. (hist) ‎E^x is less than 1/(1-x) for nonzero real x less than 1 ‎[465 bytes]
  20. (hist) ‎H (-(n+1/2))(z)=(-1)^n J (n+1/2)(z) for integer n geq 0 ‎[464 bytes]
  21. (hist) ‎(c-a-b)2F1-(c-a)2F1(a-1)+b(1-z)2F1(b+1)=0 ‎[464 bytes]
  22. (hist) ‎Period of tanh ‎[464 bytes]
  23. (hist) ‎Polygamma recurrence relation ‎[464 bytes]
  24. (hist) ‎Weierstrass elementary factors ‎[464 bytes]
  25. (hist) ‎Bessel polynomial ‎[464 bytes]
  26. (hist) ‎Halving identity for tangent (1) ‎[462 bytes]
  27. (hist) ‎Gauss' formula for gamma function ‎[462 bytes]
  28. (hist) ‎Riemann-Siegel Z ‎[462 bytes]
  29. (hist) ‎K-function ‎[461 bytes]
  30. (hist) ‎Digamma at 1/2 ‎[461 bytes]
  31. (hist) ‎B(x,y)=integral (t^(x-1)+t^(y-1))(1+t)^(-x-y) dt ‎[460 bytes]
  32. (hist) ‎Paper:V.E. Hoggatt, Jr/Triangular numbers ‎[460 bytes]
  33. (hist) ‎Series for polygamma in terms of Riemann zeta ‎[459 bytes]
  34. (hist) ‎Antiderivative of the logarithm ‎[458 bytes]
  35. (hist) ‎Floor ‎[457 bytes]
  36. (hist) ‎T n(x)=(1/2)(x+i sqrt(1-x^2))^n+(1/2)(x-i sqrt(1-x^2))^n ‎[456 bytes]
  37. (hist) ‎Pythagorean identity for coth and csch ‎[456 bytes]
  38. (hist) ‎Period of sinh ‎[456 bytes]
  39. (hist) ‎Sqrt(1-z^2)2F1(1,1;3/2;z^2)=arcsin(z)/z ‎[456 bytes]
  40. (hist) ‎E^x is greater than 1+x for nonzero real x ‎[456 bytes]
  41. (hist) ‎Relationship between Anger function and Weber function ‎[456 bytes]
  42. (hist) ‎Relationship between Bessel J sub n and Bessel J sub -n ‎[455 bytes]
  43. (hist) ‎Catalan's constant ‎[455 bytes]
  44. (hist) ‎Hypergeometric 2F3 ‎[454 bytes]
  45. (hist) ‎Limit of q-exponential E sub 1/q for 0 less than q less than 1 ‎[454 bytes]
  46. (hist) ‎Relationship between Li 2(1),Li 2(-1), and pi ‎[454 bytes]
  47. (hist) ‎Glyphs ‎[454 bytes]
  48. (hist) ‎E(m)=(pi/2)2F1(-1/2,1/2;1;m) ‎[453 bytes]
  49. (hist) ‎Buchstab function ‎[453 bytes]
  50. (hist) ‎K(m)=(pi/2)2F1(1/2,1/2;1;m) ‎[452 bytes]
  51. (hist) ‎Abs(e^z-1) less than or equal to e^(abs(z))-1 less than or equal to abs(z)e^(abs(z)) ‎[452 bytes]
  52. (hist) ‎Q-derivative of q-Cosine ‎[450 bytes]
  53. (hist) ‎Reciprocal Riemann zeta in terms of Mobius ‎[449 bytes]
  54. (hist) ‎Jacobi ns ‎[449 bytes]
  55. (hist) ‎Arccsch ‎[449 bytes]
  56. (hist) ‎Limit of quotient of consecutive Fibonacci numbers ‎[448 bytes]
  57. (hist) ‎Paper:D.S. McAnally/q-exponential and q-gamma functions. I. q-exponential functions ‎[447 bytes]
  58. (hist) ‎Q-difference equation for q-exponential E sub q ‎[447 bytes]
  59. (hist) ‎Generating function for Laguerre L ‎[444 bytes]
  60. (hist) ‎Normal cdf ‎[444 bytes]
  61. (hist) ‎Unit step function ‎[444 bytes]
  62. (hist) ‎Two-dimensional Laplace transform ‎[444 bytes]
  63. (hist) ‎Jacobi nd ‎[444 bytes]
  64. (hist) ‎Relationship between Struve function and hypergeometric pFq ‎[443 bytes]
  65. (hist) ‎Orthogonality of Bateman F on R ‎[442 bytes]
  66. (hist) ‎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 ‎[442 bytes]
  67. (hist) ‎Product rule for derivatives ‎[442 bytes]
  68. (hist) ‎Jackson q-Bessel (1) ‎[442 bytes]
  69. (hist) ‎Halving identity for sinh ‎[441 bytes]
  70. (hist) ‎Jackson q-Bessel (2) ‎[441 bytes]
  71. (hist) ‎Artin-Mazur zeta function ‎[441 bytes]
  72. (hist) ‎Period of cosh ‎[440 bytes]
  73. (hist) ‎Greatest prime factor ‎[440 bytes]
  74. (hist) ‎Q-derivative of q-Sine ‎[439 bytes]
  75. (hist) ‎Doubling identity for sinh (2) ‎[438 bytes]
  76. (hist) ‎Taylor series ‎[438 bytes]
  77. (hist) ‎L(n)^2-5F(n)^2=4(-1)^n ‎[437 bytes]
  78. (hist) ‎Dawson D+ ‎[437 bytes]
  79. (hist) ‎Legendre chi ‎[436 bytes]
  80. (hist) ‎Weierstrass elliptic ‎[435 bytes]
  81. (hist) ‎Matrix exponential ‎[434 bytes]
  82. (hist) ‎Difference of cosh and sinh ‎[434 bytes]
  83. (hist) ‎B(x,y+1)=(y/x)B(x+1,y) ‎[434 bytes]
  84. (hist) ‎Relationship between csch and csc ‎[434 bytes]
  85. (hist) ‎Symmetry relation of exponential integral E ‎[433 bytes]
  86. (hist) ‎E (0,1)(z)=1/(1-z) for abs(z) less than 1 ‎[432 bytes]
  87. (hist) ‎Log(x) less than or equal to n(x^(1/n)-1) ‎[432 bytes]
  88. (hist) ‎Stirling numbers of the second kind ‎[432 bytes]
  89. (hist) ‎Jacobi nc ‎[432 bytes]
  90. (hist) ‎Hypergeometric 2F0 ‎[431 bytes]
  91. (hist) ‎Sum rule for derivatives ‎[431 bytes]
  92. (hist) ‎Absolute convergence of secant zeta function ‎[430 bytes]
  93. (hist) ‎Binomial coefficient (n choose k) equals (-1)^k ((k-n-1) choose k) ‎[430 bytes]
  94. (hist) ‎Relationship between Scorer Hi and Airy functions ‎[430 bytes]
  95. (hist) ‎Lower incomplete gamma ‎[430 bytes]
  96. (hist) ‎Orthogonality relation for cosine on (0,pi) ‎[429 bytes]
  97. (hist) ‎B(x,y)B(x+y,z)=B(y,z)B(y+z,x) ‎[428 bytes]
  98. (hist) ‎Relationship between sech and sec ‎[428 bytes]
  99. (hist) ‎B(x,y+1)=(y/(x+y))B(x,y) ‎[427 bytes]
  100. (hist) ‎E is limit of (1+1/n)^n ‎[427 bytes]
  101. (hist) ‎Logarithm at minus 1 ‎[427 bytes]
  102. (hist) ‎Relationship between Legendre polynomial and hypergeometric 2F1 ‎[426 bytes]
  103. (hist) ‎Hyperfactorial ‎[426 bytes]
  104. (hist) ‎Doubling identity for sinh (1) ‎[425 bytes]
  105. (hist) ‎Limit of x^a log(x)=0 ‎[425 bytes]
  106. (hist) ‎Fresnel C in terms of erf ‎[425 bytes]
  107. (hist) ‎Fresnel S in terms of erf ‎[425 bytes]
  108. (hist) ‎Minkowski question mark ‎[425 bytes]
  109. (hist) ‎E^(-x/(1-x)) is less than 1-x is less than e^(-x) for nonzero real x less than 1 ‎[424 bytes]
  110. (hist) ‎Paper:Edmund Landau/Sur la série des inverse de nombres de Fibonacci ‎[423 bytes]
  111. (hist) ‎Relationship between the Gegenbauer C polynomials and the Jacobi P polynomials ‎[423 bytes]
  112. (hist) ‎L n(x)=(e^x/n!)d^n/dx^n(x^n e^(-x)) ‎[422 bytes]
  113. (hist) ‎Cosh of a sum ‎[422 bytes]
  114. (hist) ‎L(n)=F(n+1)+F(n-1) ‎[422 bytes]
  115. (hist) ‎Beta in terms of gamma ‎[422 bytes]
  116. (hist) ‎Derivative of Struve H0 ‎[421 bytes]
  117. (hist) ‎Log 10(z)=log 10(e)log(z) ‎[421 bytes]
  118. (hist) ‎Relationship between Bessel Y sub n and Bessel Y sub -n ‎[421 bytes]
  119. (hist) ‎Relationship between Scorer Gi and Airy functions ‎[421 bytes]
  120. (hist) ‎Fibonacci polynomial ‎[421 bytes]
  121. (hist) ‎Doubling identity for cosh (2) ‎[419 bytes]
  122. (hist) ‎Dirichlet series ‎[418 bytes]
  123. (hist) ‎Meromorphic continuation of q-exponential E sub q ‎[418 bytes]
  124. (hist) ‎Chebyshev psi function ‎[418 bytes]
  125. (hist) ‎F(2n)=F(n)L(n) ‎[417 bytes]
  126. (hist) ‎Lagrange polynomial ‎[417 bytes]
  127. (hist) ‎Arcsin cdf ‎[416 bytes]
  128. (hist) ‎Sinh of a sum ‎[416 bytes]
  129. (hist) ‎Differential equation for Jacobi P ‎[416 bytes]
  130. (hist) ‎Halving identity for cosh ‎[414 bytes]
  131. (hist) ‎Binomial coefficient ((n+1) choose k) equals (n choose k) + (n choose (k-1)) ‎[414 bytes]
  132. (hist) ‎Logarithm of exponential ‎[413 bytes]
  133. (hist) ‎Erfi ‎[413 bytes]
  134. (hist) ‎Relationship between Airy Bi and modified Bessel I ‎[413 bytes]
  135. (hist) ‎Arcsech ‎[413 bytes]
  136. (hist) ‎Hypergeometric 4F1 ‎[412 bytes]
  137. (hist) ‎Loggamma ‎[412 bytes]
  138. (hist) ‎Period parallelogram ‎[411 bytes]
  139. (hist) ‎Klein invariant J ‎[411 bytes]
  140. (hist) ‎Series for q-sin sub q ‎[408 bytes]
  141. (hist) ‎Rodrigues formula for Meixner polynomial ‎[408 bytes]
  142. (hist) ‎Derivative ‎[408 bytes]
  143. (hist) ‎Abs(log(1+z)) less than or equal to -log(1-abs(z)) ‎[407 bytes]
  144. (hist) ‎Relationship between tanh and tan ‎[406 bytes]
  145. (hist) ‎Bessel at -n-1/2 in terms of Bessel polynomial ‎[406 bytes]
  146. (hist) ‎Li 2(1)=pi^2/6 ‎[404 bytes]
  147. (hist) ‎Doubling identity for cosh (3) ‎[403 bytes]
  148. (hist) ‎Riemann-Landau xi ‎[403 bytes]
  149. (hist) ‎Logarithm at i ‎[403 bytes]
  150. (hist) ‎Abs(log(1-x)) less than 3x/2 ‎[402 bytes]
  151. (hist) ‎F(n+m+1)=F(n+1)F(m+1)+F(n)F(m) ‎[402 bytes]
  152. (hist) ‎Normal pdf ‎[401 bytes]
  153. (hist) ‎Euler E n'(x)=nE n-1(x) ‎[401 bytes]
  154. (hist) ‎Hypergeometric 3F2 ‎[401 bytes]
  155. (hist) ‎Sum of squares of Fibonacci numbers ‎[401 bytes]
  156. (hist) ‎Haversine ‎[401 bytes]
  157. (hist) ‎Relationship between cosh and cos ‎[401 bytes]
  158. (hist) ‎Coth of a sum ‎[400 bytes]
  159. (hist) ‎Log(z)=log(10)log 10(z) ‎[400 bytes]
  160. (hist) ‎Distance to integers ‎[400 bytes]
  161. (hist) ‎Relationship between coth and cot ‎[400 bytes]
  162. (hist) ‎Relationship between Bessel J and hypergeometric 0F1 ‎[400 bytes]
  163. (hist) ‎Log 10(z)=log(z)/log(10) ‎[399 bytes]
  164. (hist) ‎Log e(z)=log(z) ‎[399 bytes]
  165. (hist) ‎Recurrence relation of exponential integral E ‎[399 bytes]
  166. (hist) ‎Relationship between logarithm and positive integer exponents ‎[397 bytes]
  167. (hist) ‎Partial derivative of beta function ‎[397 bytes]
  168. (hist) ‎Tanh of a sum ‎[396 bytes]
  169. (hist) ‎Erf of conjugate is conjugate of erf ‎[396 bytes]
  170. (hist) ‎Q-Gamma at z+1 ‎[396 bytes]
  171. (hist) ‎Neumann polynomial ‎[396 bytes]
  172. (hist) ‎Catalan's constant using Hurwitz zeta ‎[396 bytes]
  173. (hist) ‎Meissel-Mertens constant in terms of the Euler-Mascheroni constant ‎[395 bytes]
  174. (hist) ‎Bessel polynomial generalized hypergeometric ‎[394 bytes]
  175. (hist) ‎Cauchy cdf ‎[393 bytes]
  176. (hist) ‎Orthogonality of Chebyshev U on (-1,1) ‎[392 bytes]
  177. (hist) ‎Q-number when a=n is a natural number ‎[392 bytes]
  178. (hist) ‎Hypergeometric 1F2 ‎[391 bytes]
  179. (hist) ‎Relationship between spherical Bessel j and sine ‎[391 bytes]
  180. (hist) ‎Identity ‎[390 bytes]
  181. (hist) ‎Sum of Lucas numbers ‎[389 bytes]
  182. (hist) ‎Anger of integer order is Bessel J ‎[389 bytes]
  183. (hist) ‎Q-derivative power rule ‎[388 bytes]
  184. (hist) ‎Paper:Maruti Ram Murty/The Fibonacci Zeta Function ‎[387 bytes]
  185. (hist) ‎Relationship between spherical Bessel y and cosine ‎[387 bytes]
  186. (hist) ‎Bell polynomial ‎[386 bytes]
  187. (hist) ‎Logarithm at -i ‎[385 bytes]
  188. (hist) ‎Nth derivative of logarithm ‎[384 bytes]
  189. (hist) ‎Trigamma ‎[384 bytes]
  190. (hist) ‎-log(1-x) less than x/(1-x) ‎[381 bytes]
  191. (hist) ‎T(n)^2=T(T(n))+T(T(n)-1) ‎[381 bytes]
  192. (hist) ‎Falling factorial ‎[380 bytes]
  193. (hist) ‎Sum of Fibonacci numbers ‎[379 bytes]
  194. (hist) ‎Ramanujan theta function ‎[379 bytes]
  195. (hist) ‎Dirichlet L-function ‎[379 bytes]
  196. (hist) ‎Matrix e^A=limit of (I+A/s)^s ‎[377 bytes]
  197. (hist) ‎Log(x) less than or equal to x-1 ‎[377 bytes]
  198. (hist) ‎Binomial coefficient (n choose n) equals 1 ‎[377 bytes]
  199. (hist) ‎Relationship between Chebyshev T and Gegenbauer C ‎[377 bytes]
  200. (hist) ‎Erdős-Borwein Constant ‎[377 bytes]
  201. (hist) ‎Lerch zeta function ‎[376 bytes]
  202. (hist) ‎Doubling identity for cosh (1) ‎[374 bytes]
  203. (hist) ‎Lattice generated by doubly periodic periods ‎[374 bytes]
  204. (hist) ‎N^2=T(n)+T(n-1) ‎[373 bytes]
  205. (hist) ‎Relationship between cosine, imaginary number, logarithm, and the golden ratio ‎[373 bytes]
  206. (hist) ‎Log a(b)=1/log b(a) ‎[372 bytes]
  207. (hist) ‎T(n+1)^2-T(n)^2=(n+1)^3 ‎[372 bytes]
  208. (hist) ‎Binomial coefficient (n choose k) equals (n choose (n-k)) ‎[371 bytes]
  209. (hist) ‎Hypergeometric 0F3 ‎[370 bytes]
  210. (hist) ‎Complex number ‎[370 bytes]
  211. (hist) ‎Antiderivative of inverse error function ‎[369 bytes]
  212. (hist) ‎Q-Polygamma function ‎[368 bytes]
  213. (hist) ‎X less than -log(1-x) ‎[367 bytes]
  214. (hist) ‎(n+1)L (n+1)(x) = (2n+1-x)L n(x)-nL (n-1)(x) ‎[366 bytes]
  215. (hist) ‎Reciprocal of i ‎[366 bytes]
  216. (hist) ‎T(n+1)=T(n)+n+1 ‎[365 bytes]
  217. (hist) ‎L(n+1)L(n-1)-L(n)^2=5(-1)^(n+1) ‎[365 bytes]
  218. (hist) ‎Relationship between integral of x*log(sin(x)), and Apéry's constant, pi, and logarithm ‎[365 bytes]
  219. (hist) ‎Paper:Matilde Lalín/Secant zeta functions ‎[365 bytes]
  220. (hist) ‎Relationship between sin and sinh ‎[365 bytes]
  221. (hist) ‎Bessel polynomial in terms of Bessel functions ‎[365 bytes]
  222. (hist) ‎Derivative of inverse error function ‎[364 bytes]
  223. (hist) ‎Exponential of logarithm ‎[364 bytes]
  224. (hist) ‎Tetrahedral numbers ‎[364 bytes]
  225. (hist) ‎Antiderivative of hyperbolic cosecant ‎[364 bytes]
  226. (hist) ‎X/(1+x) less than log(1+x) ‎[363 bytes]
  227. (hist) ‎Integral of log of inverse erf from 0 to 1 ‎[363 bytes]
  228. (hist) ‎F(2n+1)=F(n+1)^2+F(n)^2 ‎[362 bytes]
  229. (hist) ‎2cos(mt)cos(nt)=cos((m+n)t)+cos((m-n)t) ‎[361 bytes]
  230. (hist) ‎Wallis product ‎[361 bytes]
  231. (hist) ‎Paper:Yilmaz Simsek/q-Dedekind type sums related to q-zeta function and basic L-series ‎[360 bytes]
  232. (hist) ‎Log base a in terms of logarithm base b ‎[359 bytes]
  233. (hist) ‎Gamma(n+1)=n! ‎[359 bytes]
  234. (hist) ‎Cellérier function ‎[359 bytes]
  235. (hist) ‎Sister Celine's polynomials ‎[359 bytes]
  236. (hist) ‎Relationship between Airy Ai and modified Bessel K ‎[359 bytes]
  237. (hist) ‎Relationship between prime zeta, Möbius function, logarithm, and Riemann zeta ‎[359 bytes]
  238. (hist) ‎F(2n)=F(n+1)^2-F(n-1)^2 ‎[358 bytes]
  239. (hist) ‎Q-Euler formula for E sub q ‎[358 bytes]
  240. (hist) ‎F(n+1)F(n-1)-F(n)^2=(-1)^n ‎[357 bytes]
  241. (hist) ‎XL n'(x)=nL n(x)-n L (n-1)(x) ‎[356 bytes]
  242. (hist) ‎Shi ‎[356 bytes]
  243. (hist) ‎Gamma recurrence relation ‎[355 bytes]
  244. (hist) ‎Logarithm of a complex number ‎[353 bytes]
  245. (hist) ‎Continuous uniform cdf ‎[351 bytes]
  246. (hist) ‎Paper:Daniel S. Moak/The q-gamma function for q greater than 1 ‎[351 bytes]
  247. (hist) ‎Cauchy pdf ‎[350 bytes]
  248. (hist) ‎Log(1+x) less than x ‎[350 bytes]
  249. (hist) ‎Arcsin as inverse sine ‎[349 bytes]
  250. (hist) ‎L n'(x)=-Sum L k(x) ‎[348 bytes]

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