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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=9/8, b>=a > For fixed z and a=9/8, b=39/8





http://functions.wolfram.com/07.23.03.c2oz.01









  


  










Input Form





Hypergeometric2F1[9/8, 39/8, 3/2, -z] == (1/24955) (4 ((4 (1207 + 1158 z + 665 z^2 + 154 z^3) Cosh[ArcSinh[Sqrt[z]]/4])/(1 + z)^4 - ((-5643 + 6850 z + 5885 z^2 + 2968 z^3 + 616 z^4) Sinh[ArcSinh[Sqrt[z]]/4])/(Sqrt[z] (1 + z)^(9/2))))










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