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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=9/4





http://functions.wolfram.com/07.23.03.ag1x.01









  


  








Input Form





Hypergeometric2F1[-(5/4), 9/4, 3, -z] == (1/(585 Pi z^2)) (64 (1 + z)^(1/4) (8 (-1 + z + 9 z^2 + 6 z^3) EllipticE[1/2 - 1/(2 Sqrt[1 + z])] - Sqrt[1 + z] (-4 + 7 z + 12 z^2) EllipticK[1/2 - 1/(2 Sqrt[1 + z])] - 4 (-1 + z + 9 z^2 + 6 z^3) 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