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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=-17/4, b>=a > For fixed z and a=-17/4, b=-15/4





http://functions.wolfram.com/07.23.03.aa88.01









  


  








Input Form





Hypergeometric2F1[-(17/4), -(15/4), 1, -z] == (1/(765765 Pi)) (2 (1 + z)^(1/4) (2 (1593269 - 17938092 z + 29799870 z^2 - 9122220 z^3 + 266805 z^4) EllipticE[1/2 - 1/(2 Sqrt[1 + z])] + (-1593269 - 266805 z^4 - 827504 Sqrt[1 + z] + 1620 z^3 (5631 + 596 Sqrt[1 + z]) - 30 z^2 (993329 + 219352 Sqrt[1 + z]) + 12 z (1494841 + 525540 Sqrt[1 + z])) 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