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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=43/8, b>=a > For fixed z and a=43/8, b=45/8





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









  


  








Input Form





Hypergeometric2F1[43/8, 45/8, 7/2, -z] == (64 (Sqrt[z] Sqrt[1 + z] (-612 - 7905 z + 860053 z^2 - 824003 z^3 + 65835 z^4) Cosh[(3 ArcSinh[Sqrt[z]])/4] + (816 + 11237 z + 137700 z^2 - 1240146 z^3 + 909652 z^4 - 65835 z^5) Sinh[(3 ArcSinh[Sqrt[z]])/4]))/(61222161 z^(5/2) (1 + z)^(15/2))








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