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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=17/4, b>=a > For fixed z and a=17/4, b=21/4





http://functions.wolfram.com/07.23.03.an74.01









  


  








Input Form





Hypergeometric2F1[17/4, 21/4, 5, -z] == (4096 Sqrt[2] ((-384 - 1744 z - 3131 z^2 - 2866 z^3 + 585 z^4) (1 + Sqrt[1 + z]) EllipticE[(-1 + Sqrt[1 + z])/(1 + Sqrt[1 + z])] + (-585 z^4 + 384 (1 + Sqrt[1 + z]) + 16 z (109 + 103 Sqrt[1 + z]) + z^3 (2866 + 2340 Sqrt[1 + z]) + z^2 (3131 + 2764 Sqrt[1 + z])) EllipticK[(-1 + Sqrt[1 + z])/(1 + Sqrt[1 + z])]))/ (1939275 Pi z^4 (1 + z)^(9/2) 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