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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.af5s.01









  


  








Input Form





Hypergeometric2F1[-(7/4), 11/4, 2, -z] == (1/(231 Pi z)) (8 (1 + z)^(1/4) ((6 + 80 z + 80 z^2) EllipticE[1/2 - 1/(2 Sqrt[1 + z])] + (20 z (-2 + Sqrt[1 + z]) - 3 (1 + Sqrt[1 + z]) + 40 z^2 (-1 + 2 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