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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=-23/4, b>=a > For fixed z and a=-23/4, b=-3/4





http://functions.wolfram.com/07.23.03.9386.01









  


  








Input Form





Hypergeometric2F1[-(23/4), -(3/4), 4, z] == (1/(4928737275 Pi z^3)) (256 (2 Sqrt[1 - z] (13984 - 221559 z + 2321781 z^2 + 24572674 z^3 + 6960450 z^4 - 1764651 z^5 + 433321 z^6 - 73824 z^7 + 6144 z^8) EllipticE[(1/2) (1 - Sqrt[1 - z])] - (13984 - 232047 z + 2486967 z^2 - 15659294 z^3 - 50732850 z^4 - 469371 z^5 + 113323 z^6 - 18888 z^7 + 1536 z^8) EllipticK[(1/2) (1 - Sqrt[1 - z])] - Sqrt[1 - z] (13984 - 221559 z + 2321781 z^2 + 24572674 z^3 + 6960450 z^4 - 1764651 z^5 + 433321 z^6 - 73824 z^7 + 6144 z^8) EllipticK[(1/2) (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