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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=21/4





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









  


  








Input Form





Hypergeometric2F1[7/4, 21/4, 6, -z] == (1/(387855 Pi z^5 (1 + z)^(3/4))) (16384 ((-4096 - 2496 z + 634 z^2 - 336 z^3 + 240 z^4) EllipticE[1/2 - 1/(2 Sqrt[1 + z])] + (-120 z^4 + z^3 (168 - 60 Sqrt[1 + z]) + 2048 (1 + Sqrt[1 + z]) - 96 z (-13 + 3 Sqrt[1 + z]) + z^2 (-317 + 139 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