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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=-7/8, b>=a > For fixed z and a=-7/8, b=31/8





http://functions.wolfram.com/07.23.03.btp0.01









  


  








Input Form





Hypergeometric2F1[-(7/8), 31/8, 9/2, -z] == (1/(129789 z^(7/2))) (256 (Sqrt[z] (-16 + 13 z - 19 z^2 + 572 z^3 + 528 z^4) Cosh[ArcSinh[Sqrt[z]]/4] - ((-64 + 8 z - 35 z^2 + 201 z^3 + 836 z^4 + 528 z^5) Sinh[ArcSinh[Sqrt[z]]/4])/Sqrt[1 + z]))








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