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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 8 and fixed z and a<0 > For fixed z and a=-31/8, b>=a > For fixed z and a=-31/8, b=23/8





http://functions.wolfram.com/07.23.03.bfe7.01









  


  








Input Form





Hypergeometric2F1[-(31/8), 23/8, 5/2, -z] == (1/(2830905 z^(3/2))) (16 (Sqrt[z] (-713 + 187582 z + 901791 z^2 + 1538504 z^3 + 1133616 z^4 + 307648 z^5) Cosh[ArcSinh[Sqrt[z]]/4] - (1/Sqrt[1 + z]) ((-2852 + 40641 z + 504998 z^2 + 1548569 z^3 + 2066856 z^4 + 1287440 z^5 + 307648 z^6) Sinh[ArcSinh[Sqrt[z]]/4])))








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