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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=-23/8, b>=a > For fixed z and a=-23/8, b=7/8





http://functions.wolfram.com/07.23.03.bk0p.01









  


  








Input Form





Hypergeometric2F1[-(23/8), 7/8, 11/2, -z] == (1024 (4 Sqrt[z] Sqrt[1 + z] (12880 + 96370 z + 314801 z^2 + 593998 z^3 + 3282162 z^4 + 1555502 z^5 + 451269 z^6 + 58058 z^7) Cosh[ArcSinh[Sqrt[z]]/4] - (206080 + 1683600 z + 6079981 z^2 + 12848444 z^3 + 18867958 z^4 + 16028532 z^5 + 7095517 z^6 + 1921192 z^7 + 232232 z^8) Sinh[ArcSinh[Sqrt[z]]/4]))/ (10194789891 z^(9/2) Sqrt[1 + z])








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