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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=21/4, b>=a > For fixed z and a=21/4, b=23/4





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









  


  








Input Form





Hypergeometric2F1[21/4, 23/4, 2, -z] == (1/(14549535 Pi z (1 + z)^(35/4))) (8 (-2 (45045 - 6453164 z + 28422462 z^2 - 21329580 z^3 + 2470005 z^4) EllipticE[1/2 - 1/(2 Sqrt[1 + z])] + (45045 (1 + Sqrt[1 + z]) + 45 z^4 (54889 + 2873 Sqrt[1 + z]) - 60 z^3 (355493 + 58065 Sqrt[1 + z]) - 4 z (1613291 + 712391 Sqrt[1 + z]) + 6 z^2 (4737077 + 1362045 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