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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=-9/4, b>=a > For fixed z and a=-9/4, b=-7/4





http://functions.wolfram.com/07.23.03.ae20.01









  


  








Input Form





Hypergeometric2F1[-(9/4), -(7/4), 1, -z] == (1/(315 Pi)) (2 (1 + z)^(1/4) (2 (563 - 1338 z + 147 z^2) EllipticE[1/2 - 1/(2 Sqrt[1 + z])] + (-563 - 147 z^2 - 248 Sqrt[1 + z] + 6 z (223 + 44 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