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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=-7/4, b>=a > For fixed z and a=-7/4, b=5/4





http://functions.wolfram.com/07.23.03.af0k.01









  


  








Input Form





Hypergeometric2F1[-(7/4), 5/4, 6, z] == (1/(149906295 Pi z^5)) (16384 (-2 Sqrt[1 - z] (2048 - 11808 z + 27747 z^2 - 32947 z^3 + 17325 z^4 - 9405 z^5 + 1760 z^6) EllipticE[(1/2) (1 - Sqrt[1 - z])] + (2048 - 13344 z + 36459 z^2 - 52993 z^3 + 40425 z^4 - 2475 z^5 + 440 z^6) EllipticK[(1/2) (1 - Sqrt[1 - z])] + Sqrt[1 - z] (2048 - 11808 z + 27747 z^2 - 32947 z^3 + 17325 z^4 - 9405 z^5 + 1760 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