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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=-15/4, b>=a > For fixed z and a=-15/4, b=-5/4





http://functions.wolfram.com/07.23.03.ab7g.01









  


  








Input Form





Hypergeometric2F1[-(15/4), -(5/4), 1, -z] == (1/(1155 Pi)) (2 (1 + z)^(1/4) (4 (1059 - 2997 z + 45 z^2 + 5 z^3) EllipticE[1/2 - 1/(2 Sqrt[1 + z])] - 2 (1059 - 2997 z + 45 z^2 + 5 z^3) EllipticK[1/2 - 1/(2 Sqrt[1 + z])] + Sqrt[1 + z] (-963 + 1230 z + 165 z^2 + 20 z^3) 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