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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=17/8, b>=a > For fixed z and a=17/8, b=47/8





http://functions.wolfram.com/07.23.03.c6t1.01









  


  








Input Form





Hypergeometric2F1[17/8, 47/8, -(1/2), -z] == (1/(2852 (1 + z)^(17/2))) (4 Sqrt[1 + z] (713 + 23529 z - 156704 z^2 + 53886 z^3 + 9645 z^4 + 1673 z^5 + 154 z^6) Cosh[ArcSinh[Sqrt[z]]/4] - Sqrt[z] (713 + 1026364 z - 2380258 z^2 + 234036 z^3 + 41849 z^4 + 7000 z^5 + 616 z^6) 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