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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=-1/2





http://functions.wolfram.com/07.23.03.0844.01









  


  










Input Form





Hypergeometric2F1[-(11/2), -(1/2), 11/2, -z] == (1/(335544320 z^(9/2))) ((-Sqrt[z]) Sqrt[1 + z] (24255 + 2 z (165165 + 8 z (142296 + z (738507 + 4 z (-3907711 + 8 z (109385 + 4 z (6265 + z (1381 + 4 z (53 + 4 z))))))))) - 3465 (-7 + 4 z (-25 + 12 z (-15 + 16 z (-5 + 7 z (-5 + 12 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