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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/07.23.03.4536.01









  


  








Input Form





Hypergeometric2F1[6, 6, 11/2, -z] == (21 (Sqrt[z] Sqrt[1 + z] (-105 + 4 z (-170 + z (-489 + 8 z (-111 + 257 z)))) + 15 (7 + 2 z (25 + 16 z (5 + 2 z (5 + 2 (5 - 2 z) z)))) ArcSinh[Sqrt[z]]))/ (327680 z^(9/2) (1 + z)^(13/2))








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