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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=39/8





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









  


  








Input Form





Hypergeometric2F1[-(7/8), 39/8, 1/2, -z] == (1/(713 (1 + z)^(7/2))) (Sqrt[1 + z] (713 + 9067 z + 22594 z^2 + 20944 z^3 + 6688 z^4) Cosh[ArcSinh[Sqrt[z]]/4] - 2 Sqrt[z] (1735 + 9082 z + 16115 z^2 + 12144 z^3 + 3344 z^4) 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