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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=7/4, b>=a > For fixed z and a=7/4, b=11/4





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









  


  








Input Form





Hypergeometric2F1[7/4, 11/4, 1, z] == (1/(21 Pi (-1 + z)^4)) (-4 (-17 + 14 z + 3 z^2) EllipticE[(1/2) (1 - Sqrt[1 - z])] + 2 (-17 + 4 Sqrt[1 - z] + 2 (7 + 18 Sqrt[1 - z]) z + 3 z^2) 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