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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=1/8, b>=a > For fixed z and a=1/8, b=39/8





http://functions.wolfram.com/07.23.03.by25.01









  


  










Input Form





Hypergeometric2F1[1/8, 39/8, 1/2, -z] == (1/(713 (1 + z)^(9/2))) (Sqrt[1 + z] (713 + 2358 z + 3337 z^2 + 2156 z^3 + 528 z^4) Cosh[ArcSinh[Sqrt[z]]/4] - Sqrt[z] (1589 + 3790 z + 4349 z^2 + 2420 z^3 + 528 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