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  1. (hist) ‎Gegenbauer C ‎[1,166 bytes]
  2. (hist) ‎Exponential integral Ei ‎[1,156 bytes]
  3. (hist) ‎Closed form for partition function with sinh ‎[1,155 bytes]
  4. (hist) ‎Thomae function ‎[1,147 bytes]
  5. (hist) ‎Csch ‎[1,138 bytes]
  6. (hist) ‎Reciprocal gamma written as an infinite product ‎[1,133 bytes]
  7. (hist) ‎Beta in terms of power of t over power of (1+t) ‎[1,116 bytes]
  8. (hist) ‎Bessel Y ‎[1,116 bytes]
  9. (hist) ‎Book:Ioannis Dimitrios Avgoustis/Definite Integration using the Generalized Hypergeometric Functions ‎[1,101 bytes]
  10. (hist) ‎Taylor series for error function ‎[1,095 bytes]
  11. (hist) ‎Cosecant ‎[1,090 bytes]
  12. (hist) ‎Laguerre L ‎[1,090 bytes]
  13. (hist) ‎Sech ‎[1,084 bytes]
  14. (hist) ‎Arakawa-Kaneko zeta function ‎[1,082 bytes]
  15. (hist) ‎Bateman F ‎[1,079 bytes]
  16. (hist) ‎Generalized q-Bessel ‎[1,076 bytes]
  17. (hist) ‎Devil's staircase ‎[1,070 bytes]
  18. (hist) ‎Liouville lambda ‎[1,051 bytes]
  19. (hist) ‎Derivative of prime zeta ‎[1,047 bytes]
  20. (hist) ‎Logarithm (multivalued) ‎[1,047 bytes]
  21. (hist) ‎Antiderivative of arctan ‎[1,043 bytes]
  22. (hist) ‎Chebyshev T ‎[1,016 bytes]
  23. (hist) ‎Sine integral ‎[1,012 bytes]
  24. (hist) ‎Derivative of cosine ‎[1,007 bytes]
  25. (hist) ‎Kelvin ber ‎[1,001 bytes]
  26. (hist) ‎Signum ‎[999 bytes]
  27. (hist) ‎Q-shifted factorial ‎[997 bytes]
  28. (hist) ‎Derivative of arcsinh ‎[995 bytes]
  29. (hist) ‎Logarithmic integral ‎[994 bytes]
  30. (hist) ‎Q-factorial ‎[994 bytes]
  31. (hist) ‎Hypergeometric functions footer ‎[987 bytes]
  32. (hist) ‎Derivative of sine ‎[980 bytes]
  33. (hist) ‎Relationship between logarithm (multivalued) and logarithm ‎[975 bytes]
  34. (hist) ‎Lambert W ‎[974 bytes]
  35. (hist) ‎Cotangent ‎[970 bytes]
  36. (hist) ‎Inverse hyperbolic trigonometric functions footer ‎[967 bytes]
  37. (hist) ‎Digamma ‎[967 bytes]
  38. (hist) ‎Inverse Gudermannian ‎[966 bytes]
  39. (hist) ‎Derivative of cotangent ‎[963 bytes]
  40. (hist) ‎Derivative of arcsec ‎[955 bytes]
  41. (hist) ‎Modified Bessel I ‎[954 bytes]
  42. (hist) ‎Hankel H (1) ‎[953 bytes]
  43. (hist) ‎Inverse trigonometric functions footer ‎[949 bytes]
  44. (hist) ‎Q-exponential E sub q ‎[946 bytes]
  45. (hist) ‎Gamma(z+1)=zGamma(z) ‎[930 bytes]
  46. (hist) ‎Continuous nowhere differentiable functions footer ‎[925 bytes]
  47. (hist) ‎Trigonometric functions footer ‎[924 bytes]
  48. (hist) ‎Weierstrass factorization theorem ‎[923 bytes]
  49. (hist) ‎Arccos ‎[916 bytes]
  50. (hist) ‎Tangent ‎[916 bytes]
  51. (hist) ‎Relationship between dilogarithm and log(1-z)/z ‎[912 bytes]
  52. (hist) ‎Continued fraction for 1/sqrt(pi) integral from -infinity to infinity of e^(-t^2)/(z-t) dt ‎[910 bytes]
  53. (hist) ‎Book:F.E. Relton/Applied Bessel Functions ‎[908 bytes]
  54. (hist) ‎Kelvin bei ‎[902 bytes]
  55. (hist) ‎Gudermannian ‎[901 bytes]
  56. (hist) ‎Book:W.N. Bailey/Generalized Hypergeometric Series ‎[898 bytes]
  57. (hist) ‎Hyperbolic trigonometric functions footer ‎[897 bytes]
  58. (hist) ‎Antiderivative of arccos ‎[896 bytes]
  59. (hist) ‎Dedekind zeta function ‎[896 bytes]
  60. (hist) ‎Reciprocal gamma ‎[893 bytes]
  61. (hist) ‎Ceiling ‎[887 bytes]
  62. (hist) ‎Fresnel C ‎[871 bytes]
  63. (hist) ‎Derivative of tangent ‎[870 bytes]
  64. (hist) ‎Fresnel S ‎[867 bytes]
  65. (hist) ‎*-c functions footer ‎[866 bytes]
  66. (hist) ‎Difference equation of hypergeometric type ‎[862 bytes]
  67. (hist) ‎Cosine integral ‎[860 bytes]
  68. (hist) ‎Z2F1(1,1;2,-z) equals log(1+z) ‎[853 bytes]
  69. (hist) ‎Depreciated trigonometric functions footer ‎[849 bytes]
  70. (hist) ‎Product of Weierstrass elementary factors is entire ‎[845 bytes]
  71. (hist) ‎Derivative of arcsin ‎[845 bytes]
  72. (hist) ‎Associated Laguerre L ‎[845 bytes]
  73. (hist) ‎Book:Alfred George Greenhill/The applications of elliptic functions ‎[841 bytes]
  74. (hist) ‎Barnes G ‎[838 bytes]
  75. (hist) ‎Relationship between Sievert integral and exponential integral E ‎[835 bytes]
  76. (hist) ‎Ei(x)=-Integral from -x to infinity of e^(-t)/t dt ‎[829 bytes]
  77. (hist) ‎Derivative of coth ‎[829 bytes]
  78. (hist) ‎Hankel functions footer ‎[827 bytes]
  79. (hist) ‎Jacobi P ‎[826 bytes]
  80. (hist) ‎Derivative of tanh ‎[824 bytes]
  81. (hist) ‎Partition ‎[820 bytes]
  82. (hist) ‎Book:G.H. Hardy/The General Theory Of Dirichlet's Series ‎[819 bytes]
  83. (hist) ‎Jacobi sn ‎[815 bytes]
  84. (hist) ‎Secant ‎[814 bytes]
  85. (hist) ‎Integral representation of Struve function (3) ‎[813 bytes]
  86. (hist) ‎Kelvin ker ‎[811 bytes]
  87. (hist) ‎Hypergeometric 0F1 ‎[809 bytes]
  88. (hist) ‎Hankel H (2) ‎[809 bytes]
  89. (hist) ‎Derivative of the exponential function ‎[806 bytes]
  90. (hist) ‎Charlier polynomial ‎[801 bytes]
  91. (hist) ‎Error function is odd ‎[800 bytes]
  92. (hist) ‎Basic hypergeometric series psi ‎[798 bytes]
  93. (hist) ‎Logarithm of quotient of Jacobi theta 2 equals the log of a quotient of cosines + a sum of sines ‎[794 bytes]
  94. (hist) ‎Jacobi dn ‎[794 bytes]
  95. (hist) ‎Arcsinh ‎[792 bytes]
  96. (hist) ‎Gamma function written as infinite product ‎[791 bytes]
  97. (hist) ‎Basic hypergeometric phi ‎[786 bytes]
  98. (hist) ‎Hahn polynomial ‎[784 bytes]
  99. (hist) ‎Weber function ‎[781 bytes]
  100. (hist) ‎Chebyshev U ‎[778 bytes]
  101. (hist) ‎Arctan ‎[778 bytes]
  102. (hist) ‎Modified Bessel K ‎[775 bytes]
  103. (hist) ‎Derivative of Bessel Y with respect to its order ‎[774 bytes]
  104. (hist) ‎Q-Fibonacci polynomials ‎[773 bytes]
  105. (hist) ‎Pythagorean identity for sinh and cosh ‎[772 bytes]
  106. (hist) ‎Mangoldt ‎[770 bytes]
  107. (hist) ‎Lucas numbers ‎[769 bytes]
  108. (hist) ‎Antiderivative of coth ‎[769 bytes]
  109. (hist) ‎Beta is symmetric ‎[765 bytes]
  110. (hist) ‎Ihara zeta function ‎[765 bytes]
  111. (hist) ‎Riemann zeta as contour integral ‎[764 bytes]
  112. (hist) ‎Q-Bessel functions ‎[764 bytes]
  113. (hist) ‎Jacobi cn ‎[762 bytes]
  114. (hist) ‎Integral of monomial times Bessel J ‎[760 bytes]
  115. (hist) ‎Derivative of secant ‎[755 bytes]
  116. (hist) ‎Euler E ‎[754 bytes]
  117. (hist) ‎Mittag-Leffler ‎[752 bytes]
  118. (hist) ‎Kelvin kei ‎[749 bytes]
  119. (hist) ‎Book:Bernard Dwork/Generalized hypergeometric functions ‎[742 bytes]
  120. (hist) ‎Takagi function ‎[740 bytes]
  121. (hist) ‎Derivative of cosecant ‎[740 bytes]
  122. (hist) ‎Derivative of arccos ‎[736 bytes]
  123. (hist) ‎Relationship between arctan and arccot ‎[735 bytes]
  124. (hist) ‎Versine ‎[734 bytes]
  125. (hist) ‎Logarithm of quotient of Jacobi theta 1 equals the log of a quotient of sines + a sum of sines ‎[731 bytes]
  126. (hist) ‎Airy functions footer ‎[729 bytes]
  127. (hist) ‎Q-exponential E sub 1/q ‎[728 bytes]
  128. (hist) ‎Euler product for Riemann zeta ‎[727 bytes]
  129. (hist) ‎Van der Waerden function ‎[726 bytes]
  130. (hist) ‎Antiderivative of tanh ‎[725 bytes]
  131. (hist) ‎Arccoth ‎[722 bytes]
  132. (hist) ‎Dirichlet beta in terms of Lerch transcendent ‎[720 bytes]
  133. (hist) ‎Digamma at n+1 ‎[720 bytes]
  134. (hist) ‎Derivative of arctan ‎[720 bytes]
  135. (hist) ‎Jacobi theta footer ‎[718 bytes]
  136. (hist) ‎Arctanh ‎[718 bytes]
  137. (hist) ‎Integral of (1+bt^z)^(-y)t^x dt = (1/z)*b^(-(x+1)/z) B((x+1)/z,y-(x+1)/z) ‎[717 bytes]
  138. (hist) ‎Paper:S.L. Basin/A Primer on the Fibonacci Sequence Part I ‎[717 bytes]
  139. (hist) ‎Logarithm of quotient of Jacobi theta 3 equals a sum of sines ‎[707 bytes]
  140. (hist) ‎Fibonacci zeta function ‎[704 bytes]
  141. (hist) ‎Triangular numbers ‎[702 bytes]
  142. (hist) ‎Integral representation of Struve function (2) ‎[699 bytes]
  143. (hist) ‎Derivative of hyperbolic cosecant ‎[696 bytes]
  144. (hist) ‎Sievert integral ‎[692 bytes]
  145. (hist) ‎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) ‎[688 bytes]
  146. (hist) ‎Catalan's constant using Legendre chi ‎[687 bytes]
  147. (hist) ‎Derivative of Bessel J with respect to its order ‎[685 bytes]
  148. (hist) ‎Arccot ‎[685 bytes]
  149. (hist) ‎Lerch transcendent ‎[685 bytes]
  150. (hist) ‎Apéry's constant ‎[682 bytes]
  151. (hist) ‎Coversine ‎[680 bytes]
  152. (hist) ‎Pythagorean identity for sin and cos ‎[678 bytes]
  153. (hist) ‎Continued fraction for 2e^(z^2) integral from z to infinity e^(-t^2) dt for positive Re(z) ‎[677 bytes]
  154. (hist) ‎Logarithm of a quotient is a difference of logarithms ‎[676 bytes]
  155. (hist) ‎Logarithm of 1 ‎[675 bytes]
  156. (hist) ‎Legendre P ‎[674 bytes]
  157. (hist) ‎Petr function ‎[673 bytes]
  158. (hist) ‎Derivative of sech ‎[672 bytes]
  159. (hist) ‎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) ‎[671 bytes]
  160. (hist) ‎Kelvin functions footer ‎[669 bytes]
  161. (hist) ‎Golden ratio ‎[667 bytes]
  162. (hist) ‎Ratio test ‎[666 bytes]
  163. (hist) ‎Derivative of Jacobi theta 1 at 0 ‎[665 bytes]
  164. (hist) ‎Squares of theta relation for Jacobi theta 3 and Jacobi theta 4 ‎[664 bytes]
  165. (hist) ‎Squares of theta relation for Jacobi theta 2 and Jacobi theta 4 ‎[664 bytes]
  166. (hist) ‎Hankel H (2) in terms of csc and Bessel J ‎[664 bytes]
  167. (hist) ‎Arccosh ‎[661 bytes]
  168. (hist) ‎2F1(a,b;a+b+1/2;z)^2=3F2(2a,a+b,2b;a+b+1/2,2a+2b;z) ‎[659 bytes]
  169. (hist) ‎Logarithm (multivalued) of a quotient is a difference of logarithms (multivalued) ‎[658 bytes]
  170. (hist) ‎Ramanujan tau ‎[658 bytes]
  171. (hist) ‎Squares of theta relation for Jacobi theta 4 and Jacobi theta 4 ‎[654 bytes]
  172. (hist) ‎Paper:Harry Bateman/Some Properties of a certain Set of Polynomials ‎[654 bytes]
  173. (hist) ‎Logarithm base a ‎[653 bytes]
  174. (hist) ‎Hankel H (1) in terms of csc and Bessel J ‎[646 bytes]
  175. (hist) ‎Polylogarithm ‎[646 bytes]
  176. (hist) ‎Integral of t^(x-1)(1-t^z)^(y-1) dt=(1/z)B(x/z,y) ‎[645 bytes]
  177. (hist) ‎1F1(a;r;z)1F1(a;r;-z)=2F3(a,r-a;r,r/2,r/2+1/2;z^2/4) ‎[644 bytes]
  178. (hist) ‎Riemann zeta as integral of monomial divided by an exponential ‎[644 bytes]
  179. (hist) ‎Meissel-Mertens constant ‎[644 bytes]
  180. (hist) ‎Derivative of cosh ‎[640 bytes]
  181. (hist) ‎Q-Pochhammer ‎[640 bytes]
  182. (hist) ‎Binomial coefficient (n choose 0) equals 1 ‎[639 bytes]
  183. (hist) ‎Riemann xi ‎[637 bytes]
  184. (hist) ‎E ‎[637 bytes]
  185. (hist) ‎Elliptic K ‎[635 bytes]
  186. (hist) ‎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) ‎[634 bytes]
  187. (hist) ‎Exponential integral Ei series ‎[634 bytes]
  188. (hist) ‎Integral representation of Struve function ‎[633 bytes]
  189. (hist) ‎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) ‎[633 bytes]
  190. (hist) ‎Derivative of sinh ‎[633 bytes]
  191. (hist) ‎Z coth(z) = sum of 2^(2n)B (2n) z^(2n)/(2n)! ‎[632 bytes]
  192. (hist) ‎Chi ‎[632 bytes]
  193. (hist) ‎Euler's formula ‎[631 bytes]
  194. (hist) ‎Logarithm (multivalued) of product is a sum of logarithms (multivalued) ‎[629 bytes]
  195. (hist) ‎0F1(;r;z)0F1(;r;-z)=0F3(r,r/2,r/2+1/2;-z^2/4) ‎[626 bytes]
  196. (hist) ‎Error functions footer ‎[624 bytes]
  197. (hist) ‎0F1(;r;z)0F1(;s;z)=2F1(r/2+s/2, r/2+s/2-1/2;r,s,r+s-1;4z) ‎[622 bytes]
  198. (hist) ‎Logarithmic derivative of Jacobi theta 2 equals negative tangent + a sum of sines ‎[621 bytes]
  199. (hist) ‎Polar coordinates ‎[620 bytes]
  200. (hist) ‎Squares of theta relation for Jacobi theta 1 and Jacobi theta 4 ‎[615 bytes]
  201. (hist) ‎Legendre's constant ‎[615 bytes]
  202. (hist) ‎Integral (t-b)^(x-1)(a-t)^(y-1)dt=(a-b)^(x+y-1)B(x,y) ‎[612 bytes]
  203. (hist) ‎Riemann function ‎[612 bytes]
  204. (hist) ‎Q-derivative ‎[612 bytes]
  205. (hist) ‎Gamma(1)=1 ‎[606 bytes]
  206. (hist) ‎Paper:James Whitbread Lee Glaisher/On certain definite integrals involving the exponential-integral ‎[605 bytes]
  207. (hist) ‎Logarithm of a quotient of Jacobi theta 4 equals a sum of sines ‎[605 bytes]
  208. (hist) ‎Sum of divisors functions written in terms of partition function ‎[604 bytes]
  209. (hist) ‎Gamma function written as a limit of a factorial, exponential, and a rising factorial ‎[603 bytes]
  210. (hist) ‎Relationship between logarithm (multivalued) and positive integer exponents ‎[603 bytes]
  211. (hist) ‎Spherical Hankel h (2) ‎[603 bytes]
  212. (hist) ‎Spherical Hankel h (1) ‎[603 bytes]
  213. (hist) ‎Integral t^(x-1)(1-t)^(y-1)(1+bt)^(-x-y)dt = (1+b)^(-x)B(x,y) ‎[600 bytes]
  214. (hist) ‎Prime counting ‎[600 bytes]
  215. (hist) ‎Li 2(z)=-Li 2(1/z)-(1/2)(log z)^2 + i pi log(z) + pi^2/3 ‎[599 bytes]
  216. (hist) ‎Darboux function ‎[597 bytes]
  217. (hist) ‎Orthogonality of Chebyshev T on (-1,1) ‎[595 bytes]
  218. (hist) ‎Derivative of Li 2(-1/x) ‎[593 bytes]
  219. (hist) ‎Z coth(z) = 2 Sum of (-1)^(n+1) zeta(2n) z^(2n)/pi^(2n) ‎[592 bytes]
  220. (hist) ‎Logarithmic derivative of Jacobi theta 4 equals a sum of sines ‎[592 bytes]
  221. (hist) ‎Derivative of arccot ‎[592 bytes]
  222. (hist) ‎Integral t^(x-1)(1+bt)^(-x-y) dt = b^(-x) B(x,y) ‎[591 bytes]
  223. (hist) ‎Second q-shifted factorial ‎[591 bytes]
  224. (hist) ‎Recurrence relation for Struve fuction ‎[590 bytes]
  225. (hist) ‎Limit of (1/Gamma(c))*2F1(a,b;c;z) as c approaches -m ‎[590 bytes]
  226. (hist) ‎Schwarz function ‎[590 bytes]
  227. (hist) ‎Q-calculus footer ‎[590 bytes]
  228. (hist) ‎Scorer Hi ‎[589 bytes]
  229. (hist) ‎Scorer Gi ‎[589 bytes]
  230. (hist) ‎Logarithmic derivative of Jacobi theta 3 equals a sum of sines ‎[588 bytes]
  231. (hist) ‎Logarithmic derivative of Jacobi theta 1 equals cotangent + a sum of sines ‎[588 bytes]
  232. (hist) ‎Series for log(z+a) for positive a and Re(z) greater than -a ‎[587 bytes]
  233. (hist) ‎Reciprocal zeta function ‎[587 bytes]
  234. (hist) ‎Logarithm and friends footer ‎[586 bytes]
  235. (hist) ‎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 ‎[586 bytes]
  236. (hist) ‎Book:Michael Wilensky/Ueber Besselsche Funktionen ‎[583 bytes]
  237. (hist) ‎Reciprocal Fibonacci constant ‎[582 bytes]
  238. (hist) ‎Brun's constant ‎[582 bytes]
  239. (hist) ‎Pure recurrence relation for partition function ‎[581 bytes]
  240. (hist) ‎Polygamma multiplication formula ‎[580 bytes]
  241. (hist) ‎General Dirichlet series ‎[579 bytes]
  242. (hist) ‎Logarithmic derivative of Riemann zeta in terms of series over primes ‎[578 bytes]
  243. (hist) ‎Digamma at 1 ‎[578 bytes]
  244. (hist) ‎Alternating sum over bottom of binomial coefficient with top fixed equals 0 ‎[578 bytes]
  245. (hist) ‎Hurwitz zeta ‎[575 bytes]
  246. (hist) ‎Riemann zeta at even integers ‎[574 bytes]
  247. (hist) ‎Derivative of the logarithm ‎[574 bytes]
  248. (hist) ‎Value of polygamma at 1/2 ‎[574 bytes]
  249. (hist) ‎(z/(1-q))2Phi1(q,q;q^2;z)=Sum z^k/(1-q^k) ‎[568 bytes]
  250. (hist) ‎Asymptotic behavior of Sievert integral ‎[568 bytes]

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