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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=5





http://functions.wolfram.com/07.23.03.4022.01









  


  








Input Form





Hypergeometric2F1[3, 5, -(11/2), -z] == (1/(33792 (1 + z)^(27/2))) (Sqrt[1 + z] (33792 + z (531456 + z (4079616 + z (20867072 + z (84270080 + z (327717888 + z (2203510784 - z (4934480671 + 6 z (-244182463 + 48620 z (83 + 2 z)))))))))) - 14549535 z^(13/2) (255 + 16 z (-17 + 3 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