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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=-17/4, b>=a > For fixed z and a=-17/4, b=-3/4





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









  


  








Input Form





Hypergeometric2F1[-(17/4), -(3/4), 5, z] == -((1/(812227791375 Pi z^4)) (4096 Sqrt[1 + Sqrt[z]] (4 (21216 - 273156 z + 1833858 z^2 - 10465455 z^3 - 126712630 z^4 - 44759022 z^5 + 4760602 z^6 - 610071 z^7 + 43890 z^8) EllipticE[(2 Sqrt[z])/(1 + Sqrt[z])] + (-84864 + 84864 Sqrt[z] + 1028976 z - 1028976 z^(3/2) - 6573645 z^2 + 6573645 z^(5/2) + 37048440 z^3 - 37048440 z^(7/2) + 137314210 z^4 - 137314210 z^(9/2) + 8479548 z^5 - 8479548 z^(11/2) - 1139677 z^6 + 1139677 z^(13/2) + 87780 z^7 - 87780 z^(15/2)) 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