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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.c2ov.01









  


  








Input Form





Hypergeometric2F1[9/8, 39/8, 1/2, -z] == (1/(713 (1 + z)^(11/2))) ((-Sqrt[1 + z]) (-713 + 2470 z + 1295 z^2 + 504 z^3 + 88 z^4) Cosh[ArcSinh[Sqrt[z]]/4] + 4 Sqrt[z] (-1808 + 765 z + 384 z^2 + 137 z^3 + 22 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