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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=13/4, b>=a > For fixed z and a=13/4, b=7/2





http://functions.wolfram.com/07.23.03.am97.01









  


  








Input Form





Hypergeometric2F1[13/4, 7/2, 5, z] == -((512 Sqrt[2] (2 (1 + Sqrt[1 - z]) (1 - z)^(1/4) (64 - 112 z + 45 z^2) EllipticE[(2 (-1 + Sqrt[1 - z]) (1 - z)^(1/4) + z)/(2 z)] - (64 (1 + (1 - z)^(1/4) + Sqrt[1 - z] + (1 - z)^(3/4)) - 16 (9 + 7 (1 - z)^(1/4) + 7 Sqrt[1 - z] + 7 (1 - z)^(3/4)) z + 5 (19 + 9 (1 - z)^(1/4) + 9 Sqrt[1 - z] + 9 (1 - z)^(3/4)) z^2 - 15 z^3) EllipticK[(2 (-1 + Sqrt[1 - z]) (1 - z)^(1/4) + z)/(2 z)]))/ (225 Pi Sqrt[1 + Sqrt[1 - z]] (-1 + z)^2 z^4))








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