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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=-19/4, b>=a > For fixed z and a=-19/4, b=-11/4





http://functions.wolfram.com/07.23.03.a956.01









  


  








Input Form





Hypergeometric2F1[-(19/4), -(11/4), 3, z] == (1/(13627845 Pi z^2)) (64 (-4 Sqrt[1 - z] (154 - 4851 z - 189774 z^2 - 459698 z^3 - 189774 z^4 - 4851 z^5 + 154 z^6) EllipticE[(1/2) (1 - Sqrt[1 - z])] + (308 - 9933 z + 53577 z^2 + 1193630 z^3 + 1733478 z^4 + 423423 z^5 + 77 z^6) EllipticK[(1/2) (1 - Sqrt[1 - z])] + 2 Sqrt[1 - z] (154 - 4851 z - 189774 z^2 - 459698 z^3 - 189774 z^4 - 4851 z^5 + 154 z^6) 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