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  1. (hist) ‎Main Page ‎[26,335 bytes]
  2. (hist) ‎Book:Milton Abramowitz/Handbook of mathematical functions ‎[22,945 bytes]
  3. (hist) ‎Book:Harris Hancock/Lectures on the theory of elliptic functions ‎[21,675 bytes]
  4. (hist) ‎Full list ‎[11,824 bytes]
  5. (hist) ‎Book:Thomas Ernst/A Comprehensive Treatment of q-Calculus ‎[10,895 bytes]
  6. (hist) ‎Book:Arthur Erdélyi/Higher Transcendental Functions Volume I ‎[10,131 bytes]
  7. (hist) ‎Format notes ‎[8,372 bytes]
  8. (hist) ‎Book:Earl David Rainville/Special Functions ‎[7,600 bytes]
  9. (hist) ‎Book:Nicholas Higham/Functions of Matrices: Theory and Computation ‎[7,340 bytes]
  10. (hist) ‎Book:Larry C. Andrews/Special Functions of Mathematics for Engineers ‎[7,229 bytes]
  11. (hist) ‎Book:Roelof Koekoek/Hypergeometric Orthogonal Polynomials and Their q-Analogues ‎[6,583 bytes]
  12. (hist) ‎Book:George E. Andrews/Special Functions ‎[6,451 bytes]
  13. (hist) ‎Book:Arthur Erdélyi/Higher Transcendental Functions Volume II ‎[5,461 bytes]
  14. (hist) ‎Book:Arthur Erdélyi/Higher Transcendental Functions Volume III ‎[5,424 bytes]
  15. (hist) ‎Integral representation of Airy Ai ‎[5,219 bytes]
  16. (hist) ‎Gamma ‎[4,956 bytes]
  17. (hist) ‎Book:W.W. Bell/Special Functions for Scientists and Engineers ‎[4,907 bytes]
  18. (hist) ‎Book:Aleksandar Ivić/The Riemann Zeta-Function ‎[4,774 bytes]
  19. (hist) ‎Book:Wilhelm Magnus/Formulas and Theorems for the Special Functions of Mathematical Physics/Third Edition ‎[4,613 bytes]
  20. (hist) ‎Book:Leonard Lewin/Polylogarithms and Associated Functions/Second Edition ‎[4,563 bytes]
  21. (hist) ‎Book:Richard Beals/Special functions, a graduate text ‎[3,713 bytes]
  22. (hist) ‎Book:Leonard Lewin/Dilogarithms and Associated Functions ‎[3,621 bytes]
  23. (hist) ‎Laplace transform ‎[3,604 bytes]
  24. (hist) ‎Beta ‎[3,351 bytes]
  25. (hist) ‎Bessel J ‎[3,343 bytes]
  26. (hist) ‎Book:Gabor Szegő/Orthogonal Polynomials/Fourth Edition ‎[3,339 bytes]
  27. (hist) ‎Differential equation for Hypergeometric pFq ‎[3,221 bytes]
  28. (hist) ‎Derivatives of Hypergeometric pFq ‎[3,035 bytes]
  29. (hist) ‎Riemann zeta ‎[2,961 bytes]
  30. (hist) ‎Logarithm ‎[2,947 bytes]
  31. (hist) ‎Hypergeometric 2F1 ‎[2,913 bytes]
  32. (hist) ‎Book:George Eyre Andrews/Number Theory ‎[2,819 bytes]
  33. (hist) ‎Book:Ian N. Sneddon/Special Functions of Mathematical Physics and Chemistry ‎[2,710 bytes]
  34. (hist) ‎Polygonal numbers footer ‎[2,454 bytes]
  35. (hist) ‎Orthogonal polynomials footer ‎[2,454 bytes]
  36. (hist) ‎Euler totient ‎[2,406 bytes]
  37. (hist) ‎Fibonacci numbers ‎[2,393 bytes]
  38. (hist) ‎Book:T.S. Chihara/An Introduction to Orthogonal Polynomials ‎[2,255 bytes]
  39. (hist) ‎Fibonacci zeta in terms of a sum of binomial coefficients ‎[2,229 bytes]
  40. (hist) ‎Book:Yudell L. Luke/The Special Functions And Their Approximations, Volume I ‎[2,215 bytes]
  41. (hist) ‎Book:Elena Deza/Figurate Numbers ‎[2,176 bytes]
  42. (hist) ‎Binomial theorem ‎[2,127 bytes]
  43. (hist) ‎Convergence of Hypergeometric pFq ‎[2,119 bytes]
  44. (hist) ‎Elliptic function ‎[2,074 bytes]
  45. (hist) ‎Jacobi elliptic functions footer ‎[2,068 bytes]
  46. (hist) ‎Prime zeta P ‎[2,062 bytes]
  47. (hist) ‎Dilogarithm ‎[1,977 bytes]
  48. (hist) ‎Number theory functions footer ‎[1,972 bytes]
  49. (hist) ‎Hypergeometric pFq ‎[1,972 bytes]
  50. (hist) ‎Hadamard gamma ‎[1,960 bytes]
  51. (hist) ‎Exponential ‎[1,949 bytes]
  52. (hist) ‎Error function ‎[1,946 bytes]
  53. (hist) ‎Q-Gamma ‎[1,889 bytes]
  54. (hist) ‎Book:Charalambos Charalambides/Discrete q-Distributions ‎[1,888 bytes]
  55. (hist) ‎Binomial coefficient ‎[1,869 bytes]
  56. (hist) ‎Hermite (physicist) ‎[1,845 bytes]
  57. (hist) ‎The Euler-Mascheroni constant exists ‎[1,824 bytes]
  58. (hist) ‎Möbius ‎[1,821 bytes]
  59. (hist) ‎Book:Edmund Taylor Whittaker/A course of modern analysis/Third edition ‎[1,771 bytes]
  60. (hist) ‎Book:Andrew Gray/A Treatise on Bessel Functions ‎[1,689 bytes]
  61. (hist) ‎Polygamma ‎[1,674 bytes]
  62. (hist) ‎Sinh ‎[1,656 bytes]
  63. (hist) ‎Hermite (probabilist) ‎[1,656 bytes]
  64. (hist) ‎Book:Victor Kac/Quantum Calculus ‎[1,636 bytes]
  65. (hist) ‎Euler-Mascheroni constant ‎[1,619 bytes]
  66. (hist) ‎Book:Andrew Gray/A Treatise on Bessel Functions/Second Edition ‎[1,603 bytes]
  67. (hist) ‎Sine ‎[1,593 bytes]
  68. (hist) ‎Airy Bi ‎[1,589 bytes]
  69. (hist) ‎*-integral functions footer ‎[1,575 bytes]
  70. (hist) ‎Cosh ‎[1,568 bytes]
  71. (hist) ‎Airy Ai ‎[1,548 bytes]
  72. (hist) ‎Struve function ‎[1,535 bytes]
  73. (hist) ‎Arcsin ‎[1,533 bytes]
  74. (hist) ‎Book:Johann Heinrich Graf/Einleitung in die Theorie der Gammafunktion und der Euler'schen Integrale ‎[1,526 bytes]
  75. (hist) ‎Bolzano function ‎[1,499 bytes]
  76. (hist) ‎Pochhammer ‎[1,490 bytes]
  77. (hist) ‎Pi ‎[1,477 bytes]
  78. (hist) ‎Beta in terms of sine and cosine ‎[1,474 bytes]
  79. (hist) ‎Bessel functions footer ‎[1,464 bytes]
  80. (hist) ‎Anger function ‎[1,397 bytes]
  81. (hist) ‎Exponential integral E ‎[1,391 bytes]
  82. (hist) ‎Meixner polynomial ‎[1,364 bytes]
  83. (hist) ‎Jacobi theta 2 ‎[1,362 bytes]
  84. (hist) ‎Integral of Bessel J for nu=1 ‎[1,361 bytes]
  85. (hist) ‎Jacobi theta 4 ‎[1,349 bytes]
  86. (hist) ‎Coth ‎[1,341 bytes]
  87. (hist) ‎Q-Binomial ‎[1,332 bytes]
  88. (hist) ‎Cosine ‎[1,308 bytes]
  89. (hist) ‎Tanh ‎[1,304 bytes]
  90. (hist) ‎Jacobi theta 3 ‎[1,298 bytes]
  91. (hist) ‎Jacobi theta 1 ‎[1,278 bytes]
  92. (hist) ‎Book:Edward Charles Titchmarsh/The Zeta-Function of Riemann ‎[1,267 bytes]
  93. (hist) ‎Taylor series of cosine ‎[1,259 bytes]
  94. (hist) ‎Taylor series of sine ‎[1,228 bytes]
  95. (hist) ‎Book:Richard Dedekind/Essays on the Theory of Numbers ‎[1,221 bytes]
  96. (hist) ‎Q-number ‎[1,215 bytes]
  97. (hist) ‎Book:Johan Thim/Continuous Nowhere Differentiable Functions ‎[1,202 bytes]
  98. (hist) ‎Continuous q-Hermite polynomial ‎[1,198 bytes]
  99. (hist) ‎Sinc ‎[1,179 bytes]
  100. (hist) ‎Mott polynomial ‎[1,176 bytes]
  101. (hist) ‎Gegenbauer C ‎[1,166 bytes]
  102. (hist) ‎Exponential integral Ei ‎[1,156 bytes]
  103. (hist) ‎Closed form for partition function with sinh ‎[1,155 bytes]
  104. (hist) ‎Thomae function ‎[1,147 bytes]
  105. (hist) ‎Csch ‎[1,138 bytes]
  106. (hist) ‎Reciprocal gamma written as an infinite product ‎[1,133 bytes]
  107. (hist) ‎Beta in terms of power of t over power of (1+t) ‎[1,116 bytes]
  108. (hist) ‎Bessel Y ‎[1,116 bytes]
  109. (hist) ‎Book:Ioannis Dimitrios Avgoustis/Definite Integration using the Generalized Hypergeometric Functions ‎[1,101 bytes]
  110. (hist) ‎Taylor series for error function ‎[1,095 bytes]
  111. (hist) ‎Cosecant ‎[1,090 bytes]
  112. (hist) ‎Laguerre L ‎[1,090 bytes]
  113. (hist) ‎Sech ‎[1,084 bytes]
  114. (hist) ‎Arakawa-Kaneko zeta function ‎[1,082 bytes]
  115. (hist) ‎Bateman F ‎[1,079 bytes]
  116. (hist) ‎Generalized q-Bessel ‎[1,076 bytes]
  117. (hist) ‎Devil's staircase ‎[1,070 bytes]
  118. (hist) ‎Liouville lambda ‎[1,051 bytes]
  119. (hist) ‎Derivative of prime zeta ‎[1,047 bytes]
  120. (hist) ‎Logarithm (multivalued) ‎[1,047 bytes]
  121. (hist) ‎Antiderivative of arctan ‎[1,043 bytes]
  122. (hist) ‎Chebyshev T ‎[1,016 bytes]
  123. (hist) ‎Sine integral ‎[1,012 bytes]
  124. (hist) ‎Derivative of cosine ‎[1,007 bytes]
  125. (hist) ‎Kelvin ber ‎[1,001 bytes]
  126. (hist) ‎Signum ‎[999 bytes]
  127. (hist) ‎Q-shifted factorial ‎[997 bytes]
  128. (hist) ‎Derivative of arcsinh ‎[995 bytes]
  129. (hist) ‎Logarithmic integral ‎[994 bytes]
  130. (hist) ‎Q-factorial ‎[994 bytes]
  131. (hist) ‎Hypergeometric functions footer ‎[987 bytes]
  132. (hist) ‎Derivative of sine ‎[980 bytes]
  133. (hist) ‎Relationship between logarithm (multivalued) and logarithm ‎[975 bytes]
  134. (hist) ‎Lambert W ‎[974 bytes]
  135. (hist) ‎Cotangent ‎[970 bytes]
  136. (hist) ‎Inverse hyperbolic trigonometric functions footer ‎[967 bytes]
  137. (hist) ‎Digamma ‎[967 bytes]
  138. (hist) ‎Inverse Gudermannian ‎[966 bytes]
  139. (hist) ‎Derivative of cotangent ‎[963 bytes]
  140. (hist) ‎Derivative of arcsec ‎[955 bytes]
  141. (hist) ‎Modified Bessel I ‎[954 bytes]
  142. (hist) ‎Hankel H (1) ‎[953 bytes]
  143. (hist) ‎Inverse trigonometric functions footer ‎[949 bytes]
  144. (hist) ‎Q-exponential E sub q ‎[946 bytes]
  145. (hist) ‎Gamma(z+1)=zGamma(z) ‎[930 bytes]
  146. (hist) ‎Continuous nowhere differentiable functions footer ‎[925 bytes]
  147. (hist) ‎Trigonometric functions footer ‎[924 bytes]
  148. (hist) ‎Weierstrass factorization theorem ‎[923 bytes]
  149. (hist) ‎Arccos ‎[916 bytes]
  150. (hist) ‎Tangent ‎[916 bytes]
  151. (hist) ‎Relationship between dilogarithm and log(1-z)/z ‎[912 bytes]
  152. (hist) ‎Continued fraction for 1/sqrt(pi) integral from -infinity to infinity of e^(-t^2)/(z-t) dt ‎[910 bytes]
  153. (hist) ‎Book:F.E. Relton/Applied Bessel Functions ‎[908 bytes]
  154. (hist) ‎Kelvin bei ‎[902 bytes]
  155. (hist) ‎Gudermannian ‎[901 bytes]
  156. (hist) ‎Book:W.N. Bailey/Generalized Hypergeometric Series ‎[898 bytes]
  157. (hist) ‎Hyperbolic trigonometric functions footer ‎[897 bytes]
  158. (hist) ‎Antiderivative of arccos ‎[896 bytes]
  159. (hist) ‎Dedekind zeta function ‎[896 bytes]
  160. (hist) ‎Reciprocal gamma ‎[893 bytes]
  161. (hist) ‎Ceiling ‎[887 bytes]
  162. (hist) ‎Fresnel C ‎[871 bytes]
  163. (hist) ‎Derivative of tangent ‎[870 bytes]
  164. (hist) ‎Fresnel S ‎[867 bytes]
  165. (hist) ‎*-c functions footer ‎[866 bytes]
  166. (hist) ‎Difference equation of hypergeometric type ‎[862 bytes]
  167. (hist) ‎Cosine integral ‎[860 bytes]
  168. (hist) ‎Z2F1(1,1;2,-z) equals log(1+z) ‎[853 bytes]
  169. (hist) ‎Depreciated trigonometric functions footer ‎[849 bytes]
  170. (hist) ‎Product of Weierstrass elementary factors is entire ‎[845 bytes]
  171. (hist) ‎Derivative of arcsin ‎[845 bytes]
  172. (hist) ‎Associated Laguerre L ‎[845 bytes]
  173. (hist) ‎Book:Alfred George Greenhill/The applications of elliptic functions ‎[841 bytes]
  174. (hist) ‎Barnes G ‎[838 bytes]
  175. (hist) ‎Relationship between Sievert integral and exponential integral E ‎[835 bytes]
  176. (hist) ‎Ei(x)=-Integral from -x to infinity of e^(-t)/t dt ‎[829 bytes]
  177. (hist) ‎Derivative of coth ‎[829 bytes]
  178. (hist) ‎Hankel functions footer ‎[827 bytes]
  179. (hist) ‎Jacobi P ‎[826 bytes]
  180. (hist) ‎Derivative of tanh ‎[824 bytes]
  181. (hist) ‎Partition ‎[820 bytes]
  182. (hist) ‎Book:G.H. Hardy/The General Theory Of Dirichlet's Series ‎[819 bytes]
  183. (hist) ‎Jacobi sn ‎[815 bytes]
  184. (hist) ‎Secant ‎[814 bytes]
  185. (hist) ‎Integral representation of Struve function (3) ‎[813 bytes]
  186. (hist) ‎Kelvin ker ‎[811 bytes]
  187. (hist) ‎Hypergeometric 0F1 ‎[809 bytes]
  188. (hist) ‎Hankel H (2) ‎[809 bytes]
  189. (hist) ‎Derivative of the exponential function ‎[806 bytes]
  190. (hist) ‎Charlier polynomial ‎[801 bytes]
  191. (hist) ‎Error function is odd ‎[800 bytes]
  192. (hist) ‎Basic hypergeometric series psi ‎[798 bytes]
  193. (hist) ‎Logarithm of quotient of Jacobi theta 2 equals the log of a quotient of cosines + a sum of sines ‎[794 bytes]
  194. (hist) ‎Jacobi dn ‎[794 bytes]
  195. (hist) ‎Arcsinh ‎[792 bytes]
  196. (hist) ‎Gamma function written as infinite product ‎[791 bytes]
  197. (hist) ‎Basic hypergeometric phi ‎[786 bytes]
  198. (hist) ‎Hahn polynomial ‎[784 bytes]
  199. (hist) ‎Weber function ‎[781 bytes]
  200. (hist) ‎Chebyshev U ‎[778 bytes]
  201. (hist) ‎Arctan ‎[778 bytes]
  202. (hist) ‎Modified Bessel K ‎[775 bytes]
  203. (hist) ‎Derivative of Bessel Y with respect to its order ‎[774 bytes]
  204. (hist) ‎Q-Fibonacci polynomials ‎[773 bytes]
  205. (hist) ‎Pythagorean identity for sinh and cosh ‎[772 bytes]
  206. (hist) ‎Mangoldt ‎[770 bytes]
  207. (hist) ‎Lucas numbers ‎[769 bytes]
  208. (hist) ‎Antiderivative of coth ‎[769 bytes]
  209. (hist) ‎Beta is symmetric ‎[765 bytes]
  210. (hist) ‎Ihara zeta function ‎[765 bytes]
  211. (hist) ‎Riemann zeta as contour integral ‎[764 bytes]
  212. (hist) ‎Q-Bessel functions ‎[764 bytes]
  213. (hist) ‎Jacobi cn ‎[762 bytes]
  214. (hist) ‎Integral of monomial times Bessel J ‎[760 bytes]
  215. (hist) ‎Derivative of secant ‎[755 bytes]
  216. (hist) ‎Euler E ‎[754 bytes]
  217. (hist) ‎Mittag-Leffler ‎[752 bytes]
  218. (hist) ‎Kelvin kei ‎[749 bytes]
  219. (hist) ‎Book:Bernard Dwork/Generalized hypergeometric functions ‎[742 bytes]
  220. (hist) ‎Takagi function ‎[740 bytes]
  221. (hist) ‎Derivative of cosecant ‎[740 bytes]
  222. (hist) ‎Derivative of arccos ‎[736 bytes]
  223. (hist) ‎Relationship between arctan and arccot ‎[735 bytes]
  224. (hist) ‎Versine ‎[734 bytes]
  225. (hist) ‎Logarithm of quotient of Jacobi theta 1 equals the log of a quotient of sines + a sum of sines ‎[731 bytes]
  226. (hist) ‎Airy functions footer ‎[729 bytes]
  227. (hist) ‎Q-exponential E sub 1/q ‎[728 bytes]
  228. (hist) ‎Euler product for Riemann zeta ‎[727 bytes]
  229. (hist) ‎Van der Waerden function ‎[726 bytes]
  230. (hist) ‎Antiderivative of tanh ‎[725 bytes]
  231. (hist) ‎Arccoth ‎[722 bytes]
  232. (hist) ‎Dirichlet beta in terms of Lerch transcendent ‎[720 bytes]
  233. (hist) ‎Digamma at n+1 ‎[720 bytes]
  234. (hist) ‎Derivative of arctan ‎[720 bytes]
  235. (hist) ‎Jacobi theta footer ‎[718 bytes]
  236. (hist) ‎Arctanh ‎[718 bytes]
  237. (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]
  238. (hist) ‎Paper:S.L. Basin/A Primer on the Fibonacci Sequence Part I ‎[717 bytes]
  239. (hist) ‎Logarithm of quotient of Jacobi theta 3 equals a sum of sines ‎[707 bytes]
  240. (hist) ‎Fibonacci zeta function ‎[704 bytes]
  241. (hist) ‎Triangular numbers ‎[702 bytes]
  242. (hist) ‎Integral representation of Struve function (2) ‎[699 bytes]
  243. (hist) ‎Derivative of hyperbolic cosecant ‎[696 bytes]
  244. (hist) ‎Sievert integral ‎[692 bytes]
  245. (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]
  246. (hist) ‎Catalan's constant using Legendre chi ‎[687 bytes]
  247. (hist) ‎Derivative of Bessel J with respect to its order ‎[685 bytes]
  248. (hist) ‎Arccot ‎[685 bytes]
  249. (hist) ‎Lerch transcendent ‎[685 bytes]
  250. (hist) ‎Apéry's constant ‎[682 bytes]

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