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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=4





http://functions.wolfram.com/07.23.03.3975.01









  


  








Input Form





Hypergeometric2F1[3, 4, -(11/2), -z] == (1/(29568 (1 + z)^(25/2))) (Sqrt[1 + z] (29568 + z (419328 + z (2868992 + z (12892672 + z (44926080 + z (147412992 + z (815452672 + z (-1365583797 + 272296978 z - 2042040 z^2)))))))) - 14549535 z^(13/2) (85 - 68 z + 8 z^2) 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