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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=5/2





http://functions.wolfram.com/07.23.03.al3w.01









  


  








Input Form





Hypergeometric2F1[9/4, 5/2, 6, z] == (1/(1155 Pi Sqrt[1 + Sqrt[1 - z]] z^5)) (2048 Sqrt[2] (2 (1 + Sqrt[1 - z]) (1 - z)^(1/4) (512 - 688 z + 181 z^2) EllipticE[(2 (-1 + Sqrt[1 - z]) (1 - z)^(1/4) + z)/(2 z)] - (512 (1 + (1 - z)^(1/4) + Sqrt[1 - z] + (1 - z)^(3/4)) - 16 (59 + 43 (1 - z)^(1/4) + 43 Sqrt[1 - z] + 43 (1 - z)^(3/4)) z + (477 + 181 (1 - z)^(1/4) + 181 Sqrt[1 - z] + 181 (1 - z)^(3/4)) z^2 - 50 z^3) 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