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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=3





http://functions.wolfram.com/07.23.03.3927.01









  


  










Input Form





Hypergeometric2F1[3, 3, -(11/2), -z] == (1/(14784 (1 + z)^(23/2))) (Sqrt[1 + z] (14784 + z (186816 + z (1122240 + z (4345408 + z (12730880 + z (34005376 + z (147243904 + z (-165625285 + 17340742 z)))))))) - 765765 z^(13/2) (255 + 8 (-17 + z) 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