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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=-3/4





http://functions.wolfram.com/07.23.03.ae4y.01









  


  








Input Form





Hypergeometric2F1[-(9/4), -(3/4), 5, -z] == (1/(2546168625 Pi z^4)) (4096 (1 + z)^(1/4) (-4 (576 + 5592 z + 27045 z^2 + 104580 z^3 - 716450 z^4 + 122892 z^5 + 4389 z^6) EllipticE[1/2 - 1/(2 Sqrt[1 + z])] + Sqrt[1 + z] (1152 + 10320 z + 46485 z^2 + 175455 z^3 - 316225 z^4 + 4389 z^5) EllipticK[1/2 - 1/(2 Sqrt[1 + z])] + 2 (576 + 5592 z + 27045 z^2 + 104580 z^3 - 716450 z^4 + 122892 z^5 + 4389 z^6) 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