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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=-1/4





http://functions.wolfram.com/07.23.03.a9bn.01









  


  








Input Form





Hypergeometric2F1[-(19/4), -(1/4), 1, -z] == (1/(21945 Pi)) (2 (1 + z)^(1/4) (-8 (-9252 + 1749 z + 1116 z^2 + 425 z^3 + 70 z^4) EllipticE[1/2 - 1/(2 Sqrt[1 + z])] + 4 (-9252 + 1749 z + 1116 z^2 + 425 z^3 + 70 z^4) EllipticK[1/2 - 1/(2 Sqrt[1 + z])] - Sqrt[1 + z] (15063 + 9138 z + 6735 z^2 + 2980 z^3 + 560 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