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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 8 and fixed z and a<0 > For fixed z and a=-17/8, b>=a > For fixed z and a=-17/8, b=29/8





http://functions.wolfram.com/07.23.03.bo3x.01









  


  








Input Form





Hypergeometric2F1[-(17/8), 29/8, 1, z] == (1/(69615 Pi)) (2^(3/4) (1 + Sqrt[1 - z])^(1/4) (88 (4729 - 29680 z + 31920 z^2) EllipticE[ 1/2 - 1/(Sqrt[2] Sqrt[1 + Sqrt[1 - z]])] - 44 (4729 - 29680 z + 31920 z^2) EllipticK[ 1/2 - 1/(Sqrt[2] Sqrt[1 + Sqrt[1 - z]])] - (5 Sqrt[2] Sqrt[1 + Sqrt[1 - z]] (13923 - 101860 z + 117040 z^2) EllipticK[1/2 - 1/(Sqrt[2] Sqrt[1 + Sqrt[1 - z]])])/z - (1/(Sqrt[1 - z] z)) (3 Sqrt[2] Sqrt[1 + Sqrt[1 - z]] (-23205 + 204446 z - 412720 z^2 + 234080 z^3) EllipticK[1/2 - 1/(Sqrt[2] Sqrt[1 + Sqrt[1 - 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