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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=3, b>=a > For fixed z and a=3, b=6





http://functions.wolfram.com/07.23.03.4068.01









  


  








Input Form





Hypergeometric2F1[3, 6, -(11/2), -z] == (1/(67584 (1 + z)^(29/2))) (Sqrt[1 + z] (67584 + z (1167360 + z (9934848 + z (56983552 + z (261638144 + z (1176039424 - z (-9302185984 + z (26190342133 + 2 z (-5191889909 + 58344 z (2359 + z (113 + 4 z))))))))))) - 334639305 z^(13/2) (51 + 4 z (-17 + 4 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