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variants of this functions
Hypergeometric2F1




Mathematica Notation

Traditional Notation









Hypergeometric Functions > Hypergeometric2F1[a,b,c,z] > Specific values > For rational parameters with denominators 4 and fixed z > For fixed z and a=-15/4, b>=a > For fixed z and a=-15/4, b=-5/4





http://functions.wolfram.com/07.23.03.ab7z.01









  


  








Input Form





Hypergeometric2F1[-(15/4), -(5/4), 6, z] == (1/(3267752813325 Pi z^5)) (16384 Sqrt[1 + Sqrt[z]] ((22528 - 303776 z + 2033185 z^2 - 9624615 z^3 + 44975700 z^4 + 511633794 z^5 + 255889977 z^6 + 712725 z^7 - 33150 z^8) EllipticE[(2 Sqrt[z])/(1 + Sqrt[z])] + (-22528 + 22528 Sqrt[z] + 286880 z - 286880 z^(3/2) - 1820665 z^2 + 1820665 z^(5/2) + 8291745 z^3 - 8291745 z^(7/2) - 38958150 z^4 + 38958150 z^(9/2) - 141058974 z^5 + 141058974 z^(11/2) - 29354325 z^6 + 29354325 z^(13/2) + 1375725 z^7 - 1375725 z^(15/2) - 66300 z^8 + 66300 z^(17/2)) EllipticK[(2 Sqrt[z])/(1 + Sqrt[z])]))








Standard Form





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MathML Form







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Rule Form





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Date Added to functions.wolfram.com (modification date)





2007-05-02