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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.andg.01









  


  








Input Form





Hypergeometric2F1[19/4, 19/4, 2, -z] == (8 Sqrt[2] ((-77 + 3873 z - 7143 z^2 + 1387 z^3) (1 + z + Sqrt[1 + z]) EllipticE[(-1 + Sqrt[1 + z])/(1 + Sqrt[1 + z])] + (-1155 z^4 + z (516 - 3873 Sqrt[1 + z]) + z^3 (11492 - 1387 Sqrt[1 + z]) + 77 (1 + Sqrt[1 + z]) + 3 z^2 (-3958 + 2381 Sqrt[1 + z])) EllipticK[(-1 + Sqrt[1 + z])/ (1 + Sqrt[1 + z])]))/(17325 Pi z (1 + z)^(15/2) 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