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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=11/4





http://functions.wolfram.com/07.23.03.alj5.01









  


  








Input Form





Hypergeometric2F1[5/2, 11/4, 2, z] == (2 Sqrt[2] (-2 (1 + Sqrt[1 - z]) (-2 - 11 z + 13 z^2) EllipticE[1/2 - (1 - z)^(1/4)/(1 + Sqrt[1 - z])] + (-2 (1 + (1 - z)^(1/4) + Sqrt[1 - z] + (1 - z)^(3/4)) + (-11 - 11 (1 - z)^(1/4) - 11 Sqrt[1 - z] + 9 (1 - z)^(3/4)) z + (13 + 13 (1 - z)^(1/4) + 13 Sqrt[1 - z] + 8 (1 - z)^(3/4)) z^2) EllipticK[1/2 - (1 - z)^(1/4)/(1 + Sqrt[1 - z])]))/ (21 Pi Sqrt[1 + Sqrt[1 - z]] (-1 + z)^4 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