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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=15/8





http://functions.wolfram.com/07.23.03.bk4y.01









  


  








Input Form





Hypergeometric2F1[-(23/8), 15/8, -(7/2), -z] == (1/(1792 (1 + z)^(5/2))) ((-Sqrt[1 + z]) (-1792 - 880 z + 745 z^2 - 927 z^3 + 2156 z^4 + 2640 z^5) Cosh[ArcSinh[Sqrt[z]]/4] + Sqrt[z] (-448 - 360 z + 177 z^2 - 179 z^3 + 3476 z^4 + 2640 z^5) 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