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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=4, b>=a > For fixed z and a=4, b=6





http://functions.wolfram.com/07.23.03.4302.01









  


  








Input Form





Hypergeometric2F1[4, 6, -(9/2), -z] == (1/(12288 (1 + z)^(29/2))) (Sqrt[1 + z] (12288 + z (237568 + z (2363392 + z (17121280 + z (117354496 + z (1413242880 + z (-6909467453 + 4 z (1443545967 + z (-263085919 + 58344 z (52 + z)))))))))) + 14549535 z^(11/2) (-221 + 2 z (255 + 8 z (-17 + 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