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variants of this functions
Hypergeometric2F1




Mathematica Notation

Traditional Notation









Hypergeometric Functions > Hypergeometric2F1[a,b,c,z] > Specific values > For integer and half-integer parameters and fixed z > For fixed z and a=6, b>=a > For fixed z and a=6, b=6





http://functions.wolfram.com/07.23.03.4519.01









  


  








Input Form





Hypergeometric2F1[6, 6, -(1/2), -z] == (1/(327680 (1 + z)^(25/2))) (Sqrt[1 + z] (327680 + z (27525120 + z (-716042505 + 4 z (688838680 + z (-689656629 + 8 (22952919 - 1115963 z) z))))) + 45045 z^(3/2) (-3003 + 2 z (15015 + 16 z (-2145 + 2 z (715 + 2 z (-65 + 2 z))))) ArcSinh[Sqrt[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