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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=7/4





http://functions.wolfram.com/07.23.03.aam1.01









  


  










Input Form





Hypergeometric2F1[-(17/4), 7/4, 1/2, z] == (1/(2772 Pi^(3/2))) ((2 (693 - 9393 z + 25116 z^2 - 24576 z^3 + 8192 z^4) EllipticE[(1/2) (1 - Sqrt[z])] + 2 (693 - 9393 z + 25116 z^2 - 24576 z^3 + 8192 z^4) EllipticE[(1/2) (1 + Sqrt[z])] + (-693 + 1311 Sqrt[z] + 9393 z - 4863 z^(3/2) - 25116 z^2 + 5568 z^(5/2) + 24576 z^3 - 2048 z^(7/2) - 8192 z^4) EllipticK[(1/2) (1 - Sqrt[z])] + (-693 - 1311 Sqrt[z] + 9393 z + 4863 z^(3/2) - 25116 z^2 - 5568 z^(5/2) + 24576 z^3 + 2048 z^(7/2) - 8192 z^4) EllipticK[(1/2) (1 + Sqrt[z])]) Gamma[1/4]^2)










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