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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=19/4, b>=a > For fixed z and a=19/4, b=19/4





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









  


  








Input Form





Hypergeometric2F1[19/4, 19/4, 1, -z] == -((2 Sqrt[2] (8 (-61 + 459 z - 459 z^2 + 61 z^3) (1 + z + Sqrt[1 + z]) EllipticE[(-1 + Sqrt[1 + z])/(1 + Sqrt[1 + z])] + (103 - 385 z^4 + 488 Sqrt[1 + z] + z^3 (5268 - 488 Sqrt[1 + z]) + 6 z^2 (-1501 + 612 Sqrt[1 + z]) - 4 z (-521 + 918 Sqrt[1 + z])) EllipticK[(-1 + Sqrt[1 + z])/(1 + Sqrt[1 + z])]))/ (385 Pi (1 + z)^(17/2) Sqrt[1 + 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