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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=23/4





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









  


  








Input Form





Hypergeometric2F1[13/4, 23/4, 3, -z] == -((1/(987525 Pi z^2 (1 + z)^(23/4))) (64 (4 (154 + 1617 z - 18687 z^2 + 375 z^3 + 45 z^4) EllipticE[1/2 - 1/(2 Sqrt[1 + z])] + (-308 (1 + Sqrt[1 + z]) + 90 z^4 (-1 + 2 Sqrt[1 + z]) - 231 z (14 + 13 Sqrt[1 + z]) + 15 z^3 (-50 + 91 Sqrt[1 + z]) + 6 z^2 (6229 + 1455 Sqrt[1 + z])) EllipticK[1/2 - 1/(2 Sqrt[1 + 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