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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=-31/8, b>=a > For fixed z and a=-31/8, b=39/8





http://functions.wolfram.com/07.23.03.bfo4.01









  


  








Input Form





Hypergeometric2F1[-(31/8), 39/8, -(9/2), -z] == (1/(21504 (1 + z)^(11/2))) (Sqrt[1 + z] (21504 + 17920 z - 18180 z^2 + 26409 z^3 - 57882 z^4 + 342881 z^5 + 2064920 z^6 + 3193520 z^7 + 2046528 z^8 + 481536 z^9) Cosh[ArcSinh[Sqrt[z]]/4] - Sqrt[z] (5376 + 6160 z - 3859 z^2 + 5003 z^3 - 11737 z^4 + 1085249 z^5 + 3435960 z^6 + 4156592 z^7 + 2287296 z^8 + 481536 z^9) 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