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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=41/8, b>=a > For fixed z and a=41/8, b=47/8





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









  


  








Input Form





Hypergeometric2F1[41/8, 47/8, 9/2, -z] == (1/(7090785 z^(7/2) (1 + z)^(13/2))) (256 ((-Sqrt[z]) Sqrt[1 + z] (80 + 591 z + 2217 z^2 - 18523 z^3 + 1275 z^4) Cosh[ArcSinh[Sqrt[z]]/4] + (320 + 2584 z + 10467 z^2 + 42617 z^3 - 50327 z^4 + 1275 z^5) 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