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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=-5/8, b>=a > For fixed z and a=-5/8, b=5/8





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









  


  








Input Form





Hypergeometric2F1[-(5/8), 5/8, -(9/2), -z] == (1/(64512 (1 + z)^(9/2))) (-2 Sqrt[1 + z] (-32256 - 135296 z - 214994 z^2 - 153513 z^3 - 39928 z^4 + 4991 z^5) Cosh[(3 ArcSinh[Sqrt[z]])/4] + Sqrt[z] (-48384 - 210000 z - 347677 z^2 - 261948 z^3 - 74865 z^4 + 9982 z^5) Sinh[(3 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