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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.c2ix.01









  


  








Input Form





Hypergeometric2F1[9/8, 31/8, 3/2, -z] == (4/805) (((149 + 97 z + 28 z^2) Cosh[ArcSinh[Sqrt[z]]/4])/(1 + z)^3 - ((-209 + 194 z + 111 z^2 + 28 z^3) Sinh[ArcSinh[Sqrt[z]]/4])/ (Sqrt[z] (1 + z)^(7/2)))








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