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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=-13/4





http://functions.wolfram.com/07.23.03.aa9e.01









  


  








Input Form





Hypergeometric2F1[-(17/4), -(13/4), 1, z] == (1/(9945 Pi)) (2 (2 (28193 + 302916 z + 448542 z^2 + 106804 z^3 + 585 z^4) EllipticE[(1/2) (1 - Sqrt[1 - z])] - 8 Sqrt[1 - z] (2281 + 21031 z + 26863 z^2 + 5265 z^3) EllipticK[(1/2) (1 - Sqrt[1 - z])] - (28193 + 302916 z + 448542 z^2 + 106804 z^3 + 585 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