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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.a7qs.01









  


  








Input Form





Hypergeometric2F1[-(23/4), 19/4, 1, z] == -((1/(168245 Pi)) (2 Sqrt[1 + Sqrt[z]] (2 (-114713 + 1996967 z - 9613760 z^2 + 19045936 z^3 - 16689920 z^4 + 5374720 z^5) EllipticE[(2 Sqrt[z])/(1 + Sqrt[z])] + (61181 - 61181 Sqrt[z] + 636628 z - 636628 z^(3/2) - 11380304 z^2 + 11380304 z^(5/2) + 39819520 z^3 - 39819520 z^(7/2) - 50635520 z^4 + 50635520 z^(9/2) + 21498880 z^5 - 21498880 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