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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=23/4





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









  


  








Input Form





Hypergeometric2F1[-(17/4), 23/4, 1, -z] == (1/(14549535 Pi Sqrt[1 + Sqrt[1 + z]])) (2 Sqrt[2] (4 (7759469 + 143669760 z + 646797312 z^2 + 1027604480 z^3 + 528482304 z^4) EllipticE[(-1 + Sqrt[1 + z])/(1 + Sqrt[1 + z])] + 4 Sqrt[1 + z] (7759469 + 143669760 z + 646797312 z^2 + 1027604480 z^3 + 528482304 z^4) EllipticE[(-1 + Sqrt[1 + z])/(1 + Sqrt[1 + z])] - 4 (7759469 + 143669760 z + 646797312 z^2 + 1027604480 z^3 + 528482304 z^4) EllipticK[(-1 + Sqrt[1 + z])/(1 + Sqrt[1 + z])] - (1/Sqrt[1 + z]) ((16488341 + 234219072 z + 867686400 z^2 + 1176240128 z^3 + 528482304 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