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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.a94y.01









  


  








Input Form





Hypergeometric2F1[-(19/4), -(11/4), 1, z] == (1/(21945 Pi)) (2 (-8 Sqrt[1 - z] (-6877 - 47066 z - 38040 z^2 - 1694 z^3 + 77 z^4) EllipticE[(1/2) (1 - Sqrt[1 - z])] + 4 Sqrt[1 - z] (-6877 - 47066 z - 38040 z^2 - 1694 z^3 + 77 z^4) EllipticK[(1/2) (1 - Sqrt[1 - z])] + (-5563 + 117652 z + 442902 z^2 + 193732 z^3 + 77 z^4) 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