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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=25/8, b>=a > For fixed z and a=25/8, b=39/8





http://functions.wolfram.com/07.23.03.c9t6.01









  


  








Input Form





Hypergeometric2F1[25/8, 39/8, 3/2, -z] == (1/84847) (4 ((2 (9587 - 26301 z + 3757 z^2 + 221 z^3) Cosh[ArcSinh[Sqrt[z]]/4])/(1 + z)^6 - ((-8151 + 139285 z - 160663 z^2 + 7735 z^3 + 442 z^4) Sinh[ArcSinh[Sqrt[z]]/4])/(Sqrt[z] (1 + z)^(13/2))))








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