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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=23/4





http://functions.wolfram.com/07.23.03.a7ui.01









  


  








Input Form





Hypergeometric2F1[-(23/4), 23/4, 1, -z] == (1/(168245 Pi)) (2 (1 + z)^(1/4) (2 (238281 + 5078476 z + 28934256 z^2 + 66250496 z^3 + 65911040 z^4 + 23761920 z^5) EllipticE[1/2 - 1/(2 Sqrt[1 + z])] + 4 Sqrt[1 + z] (-17509 + 131534 z + 3726528 z^2 + 15982720 z^3 + 24044800 z^4 + 11880960 z^5) EllipticK[1/2 - 1/(2 Sqrt[1 + z])] - (238281 + 5078476 z + 28934256 z^2 + 66250496 z^3 + 65911040 z^4 + 23761920 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