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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=47/8





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









  


  








Input Form





Hypergeometric2F1[-(23/8), 47/8, 11/2, -z] == (1024 (Sqrt[z] Sqrt[1 + z] (2240 - 6840 z + 20823 z^2 - 82841 z^3 + 11414744 z^4 + 38392464 z^5 + 41773248 z^6 + 14927616 z^7) Cosh[ArcSinh[Sqrt[z]]/4] - (8960 - 21200 z + 63747 z^2 - 271502 z^3 + 2853191 z^4 + 26322296 z^5 + 57413136 z^6 + 49237056 z^7 + 14927616 z^8) Sinh[ArcSinh[Sqrt[z]]/4]))/ (10897878849 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