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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=5/4, b>=a > For fixed z and a=5/4, b=11/4





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









  


  








Input Form





Hypergeometric2F1[5/4, 11/4, 6, -z] == (1/(72765 Pi z^5)) (16384 (1 + z)^(1/4) ((4096 + 7872 z + 3750 z^2 + 30 z^3) EllipticE[1/2 - 1/(2 Sqrt[1 + z])] + (-2048 (1 + Sqrt[1 + z]) + 15 z^3 (-1 + 2 Sqrt[1 + z]) - 15 z^2 (125 + 21 Sqrt[1 + z]) - 96 z (41 + 25 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