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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.andf.01









  


  








Input Form





Hypergeometric2F1[19/4, 19/4, 2, z] == (1/(17325 Pi (-1 + z)^8 z)) (8 (-2 (-1 + z) (77 + 3873 z + 7143 z^2 + 1387 z^3) EllipticE[(1/2) (1 - Sqrt[1 - z])] + (-1 + z) (77 + 3873 z + 7143 z^2 + 1387 z^3) EllipticK[(1/2) (1 - Sqrt[1 - z])] + Sqrt[1 - z] (-77 + 516 z + 11874 z^2 + 11492 z^3 + 1155 z^4) EllipticK[(1/2) (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