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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=-17/4





http://functions.wolfram.com/07.23.03.aa7a.01









  


  








Input Form





Hypergeometric2F1[-(17/4), -(17/4), 2, z] == (1/(1461915 Pi z)) (8 (2 (3315 + 966429 z + 7126302 z^2 + 10537850 z^3 + 3633023 z^4 + 204761 z^5) EllipticE[(1/2) (1 - Sqrt[1 - z])] - Sqrt[1 - z] (3315 + 601779 z + 3907878 z^2 + 5120702 z^3 + 1532551 z^4 + 69615 z^5) EllipticK[(1/2) (1 - Sqrt[1 - z])] - (3315 + 966429 z + 7126302 z^2 + 10537850 z^3 + 3633023 z^4 + 204761 z^5) 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