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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/07.23.03.3977.01









  


  








Input Form





Hypergeometric2F1[3, 4, -(9/2), -z] == (1/(2688 (1 + z)^(23/2))) (Sqrt[1 + z] (2688 + z (36736 + z (247168 + z (1144960 + z (4670720 + z (30644992 + z (-60843131 + 2 (6988691 - 60060 z) z))))))) - 765765 z^(11/2) (65 - 60 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