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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=31/8





http://functions.wolfram.com/07.23.03.c2j3.01









  


  








Input Form





Hypergeometric2F1[9/8, 31/8, 7/2, -z] == (1/(1771 z^(5/2) (1 + z)^(3/2))) (64 (Sqrt[z] Sqrt[1 + z] (-12 + 5 z + 28 z^2) Cosh[ArcSinh[Sqrt[z]]/4] + (48 + 13 z - 19 z^2 - 28 z^3) 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