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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=19/4





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









  


  








Input Form





Hypergeometric2F1[-(17/4), 19/4, 1, z] == (1/(765765 Pi)) (2 (2 (1593269 - 24311168 z + 93173760 z^2 - 128909312 z^3 + 58720256 z^4) EllipticE[(1/2) (1 - Sqrt[1 - z])] + (-1593269 - 827504 Sqrt[1 - z] + 128 (189931 + 68664 Sqrt[1 - z]) z - 55296 (1685 + 392 Sqrt[1 - z]) z^2 + 458752 (281 + 32 Sqrt[1 - z]) z^3 - 58720256 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