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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=-3/2





http://functions.wolfram.com/07.23.03.1231.01









  


  








Input Form





Hypergeometric2F1[-(9/2), -(3/2), 11/2, -z] == (1/(67108864 z^(9/2))) (Sqrt[z] Sqrt[1 + z] (-2205 + 2 z (-16275 + 8 z (-15666 + z (-95571 + 4 z (826037 + 4 z (-178057 + 8 z (1095 + z (79 + 4 z)))))))) + 315 (7 + 12 z (9 + 8 z (9 + 56 z (1 + z (9 + 4 z (-9 + 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