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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=31/8





http://functions.wolfram.com/07.23.03.c6ga.01









  


  








Input Form





Hypergeometric2F1[17/8, 31/8, -(3/2), -z] == (1/(1104 (1 + z)^(15/2))) (Sqrt[1 + z] (1104 + 13823 z + 158355 z^2 - 396737 z^3 + 45617 z^4 + 2262 z^5) Cosh[ArcSinh[Sqrt[z]]/4] - 2 Sqrt[z] (138 + 1771 z + 576176 z^2 - 574670 z^3 + 23374 z^4 + 1131 z^5) 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