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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=-13/8, b>=a > For fixed z and a=-13/8, b=29/8





http://functions.wolfram.com/07.23.03.bqj6.01









  


  










Input Form





Hypergeometric2F1[-(13/8), 29/8, 9/2, -z] == (1/(345015 z^(7/2))) (256 (Sqrt[z] (-240 + 79 z - 107 z^2 + 1782 z^3 + 3504 z^4 + 1632 z^5) Cosh[(3 ArcSinh[Sqrt[z]])/4] - (2 (-160 - 84 z - 21 z^2 + 224 z^3 + 1665 z^4 + 2160 z^5 + 816 z^6) Sinh[(3 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