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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=-11/4, b>=a > For fixed z and a=-11/4, b=23/4





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









  


  








Input Form





Hypergeometric2F1[-(11/4), 23/4, 1, -z] == (1/(21945 Pi (1 + z)^(7/4))) (2 (8 (6877 + 74574 z + 220500 z^2 + 246480 z^3 + 93600 z^4) EllipticE[1/2 - 1/(2 Sqrt[1 + z])] + (-27508 - 5563 Sqrt[1 + z] + 374400 z^4 (-1 + 2 Sqrt[1 + z]) + 12480 z^3 (-79 + 113 Sqrt[1 + z]) + 720 z^2 (-1225 + 1059 Sqrt[1 + z]) + 72 z (-4143 + 1325 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