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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.a7uh.01









  


  








Input Form





Hypergeometric2F1[-(23/4), 23/4, 1, z] == -((1/(168245 Pi)) (2 Sqrt[1 + Sqrt[z]] ((-238281 + 5078476 z - 28934256 z^2 + 66250496 z^3 - 65911040 z^4 + 23761920 z^5) EllipticE[(2 Sqrt[z])/(1 + Sqrt[z])] + 4 (17509 - 17509 Sqrt[z] + 131534 z - 131534 z^(3/2) - 3726528 z^2 + 3726528 z^(5/2) + 15982720 z^3 - 15982720 z^(7/2) - 24044800 z^4 + 24044800 z^(9/2) + 11880960 z^5 - 11880960 z^(11/2)) EllipticK[(2 Sqrt[z])/(1 + Sqrt[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