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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=-5/2, b>=a > For fixed z and a=-5/2, b=9/4





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









  


  








Input Form





Hypergeometric2F1[-(5/2), 9/4, 1, z] == (1/(30 Sqrt[2] Pi Sqrt[1 + Sqrt[1 - z]])) (2 (1 + Sqrt[1 - z]) (1 - z)^(1/4) (236 - 924 z + 693 z^2) EllipticE[(2 (-1 + Sqrt[1 - z]) (1 - z)^(1/4) + z)/(2 z)] - (4 (29 + 59 (1 - z)^(1/4) + 59 Sqrt[1 - z] + 59 (1 - z)^(3/4)) - 44 (8 + 21 (1 - z)^(1/4) + 21 Sqrt[1 - z] + 21 (1 - z)^(3/4)) z + 231 (1 + 3 (1 - z)^(1/4) + 3 Sqrt[1 - z] + 3 (1 - z)^(3/4)) z^2) EllipticK[(2 (-1 + Sqrt[1 - z]) (1 - z)^(1/4) + z)/(2 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