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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=-5/4





http://functions.wolfram.com/07.23.03.a991.01









  


  








Input Form





Hypergeometric2F1[-(19/4), -(5/4), 1, -z] == (1/(21945 Pi)) (2 (1 + z)^(1/4) (2 (41397 - 152061 z + 3915 z^2 + 865 z^3 + 100 z^4) EllipticE[1/2 - 1/(2 Sqrt[1 + z])] + 4 Sqrt[1 + z] (-4863 + 8745 z + 1665 z^2 + 395 z^3 + 50 z^4) EllipticK[1/2 - 1/(2 Sqrt[1 + z])] - (41397 - 152061 z + 3915 z^2 + 865 z^3 + 100 z^4) EllipticK[1/2 - 1/(2 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