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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=1/8, b>=a > For fixed z and a=1/8, b=47/8





http://functions.wolfram.com/07.23.03.by7x.01









  


  








Input Form





Hypergeometric2F1[1/8, 47/8, -(5/2), -z] == (1/(228160 (1 + z)^(17/2))) (2 Sqrt[1 + z] (114080 + 949716 z + 3577121 z^2 + 9083620 z^3 + 9529262 z^4 + 7131936 z^5 + 3430889 z^6 + 954800 z^7 + 117040 z^8) Cosh[ArcSinh[Sqrt[z]]/4] - Sqrt[z] (57040 + 492683 z + 1929378 z^2 + 26274186 z^3 + 25442944 z^4 + 17470691 z^5 + 7787318 z^6 + 2026640 z^7 + 234080 z^8) 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