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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 4 and fixed z > For fixed z and a=-23/4, b>=a > For fixed z and a=-23/4, b=13/4





http://functions.wolfram.com/07.23.03.9844.01









  


  








Input Form





Hypergeometric2F1[-(23/4), 13/4, 1, z] == (1/(1514205 Pi)) (2 (-2 Sqrt[1 - z] (-3090473 + 42954805 z - 168818048 z^2 + 279885824 z^3 - 209649664 z^4 + 58720256 z^5) EllipticE[(1/2) (1 - Sqrt[1 - z])] + 4 (-394067 + 4220329 z - 14067356 z^2 + 20705024 z^3 - 14135296 z^4 + 3670016 z^5) EllipticK[(1/2) (1 - Sqrt[1 - z])] + Sqrt[1 - z] (-3090473 + 42954805 z - 168818048 z^2 + 279885824 z^3 - 209649664 z^4 + 58720256 z^5) EllipticK[(1/2) (1 - 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