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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=-1/4





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









  


  








Input Form





Hypergeometric2F1[-(17/4), -(1/4), 1, -z] == (1/(9945 Pi Sqrt[1 + Sqrt[1 + z]])) (2 Sqrt[2] (-2 (-12167 + 4986 z + 2985 z^2 + 1144 z^3 + 192 z^4) EllipticE[(-1 + Sqrt[1 + z])/(1 + Sqrt[1 + z])] - 2 Sqrt[1 + z] (-12167 + 4986 z + 2985 z^2 + 1144 z^3 + 192 z^4) EllipticE[(-1 + Sqrt[1 + z])/(1 + Sqrt[1 + z])] + Sqrt[1 + z] (-14389 + 1138 z + 503 z^2 + 96 z^3) EllipticK[(-1 + Sqrt[1 + z])/(1 + Sqrt[1 + z])] + 2 (-12167 + 4986 z + 2985 z^2 + 1144 z^3 + 192 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