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





http://functions.wolfram.com/07.23.03.af8i.01









  


  








Input Form





Hypergeometric2F1[-(7/4), 7/2, 2, z] == (1/(385 Pi Sqrt[1 + Sqrt[1 - z]] z)) (Sqrt[2] (-2 (1 + Sqrt[1 - z]) (1 - z)^(1/4) (28 - 754 z + 1105 z^2) EllipticE[(2 (-1 + Sqrt[1 - z]) (1 - z)^(1/4) + z)/(2 z)] + (28 (1 + (1 - z)^(1/4) + Sqrt[1 - z] + (1 - z)^(3/4)) - 2 (-1 + 377 (1 - z)^(1/4) + 377 Sqrt[1 - z] + 377 (1 - z)^(3/4)) z + 65 (-15 + 17 (1 - z)^(1/4) + 17 Sqrt[1 - z] + 17 (1 - z)^(3/4)) z^2 + 1105 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