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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=-29/8, b>=a > For fixed z and a=-29/8, b=-19/8





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









  


  








Input Form





Hypergeometric2F1[-(29/8), -(19/8), -(5/2), -z] == (1/(320 Sqrt[1 + z])) (2 Sqrt[1 + z] (160 + 596 z + 805 z^2 + 418 z^3 + 209 z^4) Cosh[(3 ArcSinh[Sqrt[z]])/4] - Sqrt[z] (240 + 929 z + 1316 z^2 + 1045 z^3 + 418 z^4) Sinh[(3 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