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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=-15/8, b>=a > For fixed z and a=-15/8, b=23/8





http://functions.wolfram.com/07.23.03.bp18.01









  


  








Input Form





Hypergeometric2F1[-(15/8), 23/8, 9/2, -z] == (1/(80883 z^(7/2))) (256 (Sqrt[z] (16 + 19 z - 14 z^2 + 355 z^3 + 484 z^4 + 176 z^5) Cosh[ArcSinh[Sqrt[z]]/4] - ((64 + 120 z - 9 z^2 + 114 z^3 + 575 z^4 + 572 z^5 + 176 z^6) Sinh[ArcSinh[Sqrt[z]]/4])/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