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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=7/8





http://functions.wolfram.com/07.23.03.bf4j.01









  


  








Input Form





Hypergeometric2F1[-(31/8), 7/8, 9/2, -z] == (1/(3163900311 z^(7/2) Sqrt[1 + z])) (256 (Sqrt[z] Sqrt[1 + z] (57040 + 432791 z + 1460224 z^2 + 15565082 z^3 + 12056564 z^4 + 6210295 z^5 + 1845844 z^6 + 240240 z^7) Cosh[ArcSinh[Sqrt[z]]/4] - (228160 + 1888024 z + 7012355 z^2 + 16707016 z^3 + 20923058 z^4 + 14945996 z^5 + 7103187 z^6 + 1965964 z^7 + 240240 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