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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=23/4





http://functions.wolfram.com/07.23.03.ak5p.01









  


  








Input Form





Hypergeometric2F1[5/4, 23/4, 3, -z] == (1/(65835 Pi z^2 (1 + z)^(15/4))) (64 (8 (77 + 77 z + 261 z^2 + 235 z^3 + 70 z^4) EllipticE[1/2 - 1/(2 Sqrt[1 + z])] + (-308 (1 + Sqrt[1 + z]) - 77 z (4 + Sqrt[1 + z]) + 280 z^4 (-1 + 2 Sqrt[1 + z]) + 20 z^3 (-47 + 73 Sqrt[1 + z]) + 9 z^2 (-116 + 115 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