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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=-1/8





http://functions.wolfram.com/07.23.03.bf0m.01









  


  








Input Form





Hypergeometric2F1[-(31/8), -(1/8), 7/2, -z] == -((1/(375378003 z^(5/2) Sqrt[1 + z])) (64 (4 Sqrt[z] Sqrt[1 + z] (-713 - 7843 z - 1534604 z^2 + 294086 z^3 + 80483 z^4 + 18109 z^5 + 2002 z^6) Cosh[ArcSinh[Sqrt[z]]/4] + (11408 + 133331 z + 1177876 z^2 + 15914 z^3 - 1328756 z^4 - 357149 z^5 - 76440 z^6 - 8008 z^7) 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