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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=-9/2, b>=a > For fixed z and a=-9/2, b=-1/2





http://functions.wolfram.com/07.23.03.1254.01









  


  








Input Form





Hypergeometric2F1[-(9/2), -(1/2), 11/2, -z] == (1/(16777216 z^(9/2))) ((-Sqrt[z]) Sqrt[1 + z] (2205 + 4 z (6720 + z (40929 + 8 z (23121 + z (-380521 + 16 z (4070 + z (705 + 8 z (13 + z)))))))) - 315 (-7 + 6 z (-15 + 32 z (-3 + 14 z (-1 + 6 z (-1 + 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