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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=-31/8, b>=a > For fixed z and a=-31/8, b=15/8





http://functions.wolfram.com/07.23.03.bf9e.01









  


  








Input Form





Hypergeometric2F1[-(31/8), 15/8, 11/2, -z] == (1024 (2 Sqrt[z] Sqrt[1 + z] (-114080 - 698740 z - 1613519 z^2 - 1297660 z^3 + 13177502 z^4 + 18947656 z^5 + 12859561 z^6 + 4495920 z^7 + 652080 z^8) Cosh[ArcSinh[Sqrt[z]]/4] - (-912640 - 6217360 z - 16676357 z^2 - 18833182 z^3 + 7137130 z^4 + 42598816 z^5 + 49712403 z^6 + 30052022 z^7 + 9643920 z^8 + 1304160 z^9) Sinh[ArcSinh[Sqrt[z]]/4]))/(23553480093 z^(9/2) 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