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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.aaj1.01









  


  








Input Form





Hypergeometric2F1[-(17/4), 3/4, 1, -z] == (1/(9945 Pi Sqrt[1 + Sqrt[1 + z]])) (2 Sqrt[2] ((14389 + 38750 z + 47257 z^2 + 27360 z^3 + 6144 z^4) EllipticE[(-1 + Sqrt[1 + z])/(1 + Sqrt[1 + z])] + Sqrt[1 + z] (14389 + 38750 z + 47257 z^2 + 27360 z^3 + 6144 z^4) EllipticE[(-1 + Sqrt[1 + z])/(1 + Sqrt[1 + z])] - 4 Sqrt[1 + z] (1111 + 1951 z + 1434 z^2 + 384 z^3) EllipticK[(-1 + Sqrt[1 + z])/(1 + Sqrt[1 + z])] - (14389 + 38750 z + 47257 z^2 + 27360 z^3 + 6144 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