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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=-7/4, b>=a > For fixed z and a=-7/4, b=21/4





http://functions.wolfram.com/07.23.03.aff8.01









  


  








Input Form





Hypergeometric2F1[-(7/4), 21/4, 1, z] == (1/(69615 Pi (-1 + z)^3)) (2 (-2 Sqrt[1 - z] (133873 - 1182093 z + 2964864 z^2 - 2897920 z^3 + 983040 z^4) EllipticE[(1/2) (1 - Sqrt[1 - z])] + 2 (-1 + z) (-32129 + 182728 z - 273920 z^2 + 122880 z^3) EllipticK[(1/2) (1 - Sqrt[1 - z])] + Sqrt[1 - z] (133873 - 1182093 z + 2964864 z^2 - 2897920 z^3 + 983040 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