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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=-17/4





http://functions.wolfram.com/07.23.03.aa78.01









  


  








Input Form





Hypergeometric2F1[-(17/4), -(17/4), 1, -z] == (1/(9945 Pi Sqrt[1 + Sqrt[1 + z]])) (2 Sqrt[2] (2 (14389 - 204860 z + 448542 z^2 - 204860 z^3 + 14389 z^4) EllipticE[(-1 + Sqrt[1 + z])/(1 + Sqrt[1 + z])] + 2 Sqrt[1 + z] (14389 - 204860 z + 448542 z^2 - 204860 z^3 + 14389 z^4) EllipticE[(-1 + Sqrt[1 + z])/(1 + Sqrt[1 + z])] + Sqrt[1 + z] (-18833 + 232932 z - 448542 z^2 + 176788 z^3 - 9945 z^4) EllipticK[(-1 + Sqrt[1 + z])/(1 + Sqrt[1 + z])] - 2 (14389 - 204860 z + 448542 z^2 - 204860 z^3 + 14389 z^4) EllipticK[(-1 + Sqrt[1 + z])/(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