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





http://functions.wolfram.com/07.23.03.ad0g.01









  


  








Input Form





Hypergeometric2F1[-(11/4), -(7/4), 1, z] == (1/(231 Pi)) (2 (2 Sqrt[1 - z] (241 + 458 z + 21 z^2) EllipticE[(1/2) (1 - Sqrt[1 - z])] - (10 + 241 Sqrt[1 - z] + (-820 + 458 Sqrt[1 - z]) z + 21 (-30 + Sqrt[1 - z]) 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