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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=-11/4, b>=a > For fixed z and a=-11/4, b=21/4





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









  


  








Input Form





Hypergeometric2F1[-(11/4), 21/4, 2, z] == (1/(765765 Pi z)) (8 (-((1/Sqrt[1 - z]) (2 (3003 - 339008 z + 2024960 z^2 - 3506176 z^3 + 1835008 z^4) EllipticE[(1/2) (1 - Sqrt[1 - z])])) - (-3003 + 146816 z - 546816 z^2 + 458752 z^3) EllipticK[(1/2) (1 - Sqrt[1 - z])] + (1/Sqrt[1 - z]) ((3003 - 339008 z + 2024960 z^2 - 3506176 z^3 + 1835008 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