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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.c2it.01









  


  








Input Form





Hypergeometric2F1[9/8, 31/8, 1/2, -z] == (1/(161 (1 + z)^(9/2))) ((-Sqrt[1 + z]) (-161 + 402 z + 143 z^2 + 28 z^3) Cosh[ArcSinh[Sqrt[z]]/4] + Sqrt[z] (-1451 + 470 z + 157 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