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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=-5/4





http://functions.wolfram.com/07.23.03.aae7.01









  


  








Input Form





Hypergeometric2F1[-(17/4), -(5/4), 3, z] == (1/(1044225 Pi z^2)) (64 (2 (-68 + 1377 z + 74220 z^2 + 98670 z^3 + 3600 z^4 - 423 z^5 + 32 z^6) EllipticE[(1/2) (1 - Sqrt[1 - z])] + 4 Sqrt[1 - z] (17 - 340 z - 10480 z^2 - 11350 z^3 - 25 z^4 + 2 z^5) EllipticK[(1/2) (1 - Sqrt[1 - z])] - (-68 + 1377 z + 74220 z^2 + 98670 z^3 + 3600 z^4 - 423 z^5 + 32 z^6) 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