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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=19/4





http://functions.wolfram.com/07.23.03.a7qt.01









  


  








Input Form





Hypergeometric2F1[-(23/4), 19/4, 1, -z] == (1/(168245 Pi)) (2 (1 + z)^(1/4) (4 (114713 + 1996967 z + 9613760 z^2 + 19045936 z^3 + 16689920 z^4 + 5374720 z^5) EllipticE[1/2 - 1/(2 Sqrt[1 + z])] - 2 (114713 + 1996967 z + 9613760 z^2 + 19045936 z^3 + 16689920 z^4 + 5374720 z^5) EllipticK[1/2 - 1/(2 Sqrt[1 + z])] + Sqrt[1 + z] (-61181 + 636628 z + 11380304 z^2 + 39819520 z^3 + 50635520 z^4 + 21498880 z^5) EllipticK[1/2 - 1/(2 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