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





http://functions.wolfram.com/07.23.03.c79n.01









  


  








Input Form





Hypergeometric2F1[19/8, 29/8, -(3/2), -z] == (1/(624 (1 + z)^(15/2))) (Sqrt[1 + z] (624 + 8125 z + 96265 z^2 - 315603 z^3 + 76291 z^4 + 1426 z^5) Cosh[(3 ArcSinh[Sqrt[z]])/4] - 2 Sqrt[z] (234 + 3081 z + 94760 z^2 - 189786 z^3 + 38502 z^4 + 713 z^5) 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