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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=-1/8





http://functions.wolfram.com/07.23.03.bf0a.01









  


  








Input Form





Hypergeometric2F1[-(31/8), -(1/8), -(3/2), -z] == (1/48) ((48 + 17 z - 39 z^2 - 112 z^3 - 56 z^4) Cosh[ArcSinh[Sqrt[z]]/4] + 4 Sqrt[z/(1 + z)] (-3 - 2 z + 22 z^2 + 35 z^3 + 14 z^4) 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