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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=-11/2, b>=a > For fixed z and a=-11/2, b=-5/2





http://functions.wolfram.com/07.23.03.0794.01









  


  










Input Form





Hypergeometric2F1[-(11/2), -(5/2), 9/2, -z] == (1/(603979776 z^(7/2))) ((-Sqrt[z]) Sqrt[1 + z] (17325 + 2 z (181335 + 8 z (296835 + z (-32123457 + 4 z (19525549 + 4 z (-2178347 + 40 z (1734 + z (97 + 4 z)))))))) - 3465 (-5 + 12 z (-9 + 8 z (-15 + 56 z (-5 + z (45 + 4 z (-15 + 4 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