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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=5/4, b>=a > For fixed z and a=5/4, b=5/4





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









  


  








Input Form





Hypergeometric2F1[5/4, 5/4, 6, z] == -((1/(266805 Pi z^5)) (16384 (2 Sqrt[1 - z] (-2048 + 6048 z - 5907 z^2 + 1887 z^3) EllipticE[(1/2) (1 - Sqrt[1 - z])] + (2048 (1 + Sqrt[1 - z]) - 96 (79 + 63 Sqrt[1 - z]) z + 3 (3433 + 1969 Sqrt[1 - z]) z^2 - 3 (1986 + 629 Sqrt[1 - z]) 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