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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=13/4





http://functions.wolfram.com/07.23.03.a9na.01









  


  








Input Form





Hypergeometric2F1[-(19/4), 13/4, 1, z] == (1/(65835 Pi)) (2 (4 Sqrt[1 - z] (65753 - 739424 z + 2197248 z^2 - 2441216 z^3 + 917504 z^4) EllipticE[(1/2) (1 - Sqrt[1 - z])] - (65671 - 557035 z + 1382784 z^2 - 1349632 z^3 + 458752 z^4) EllipticK[(1/2) (1 - Sqrt[1 - z])] - 2 Sqrt[1 - z] (65753 - 739424 z + 2197248 z^2 - 2441216 z^3 + 917504 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