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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=-11/2





http://functions.wolfram.com/07.23.03.0719.01









  


  










Input Form





Hypergeometric2F1[-(11/2), -(11/2), 11/2, -z] == -((1/(343597383680 z^(9/2))) (3 (Sqrt[z] Sqrt[1 + z] (88935 + 2 z (1240855 + 32 z (617463 + z (8739346 + z (-1571226457 + 2 z (3682667235 + 16 z (-302888815 + 6 z (22242609 - 3018882 z + 82364 z^2)))))))) - 1155 (77 + 8 z (275 + z (4455 + 64 z (990 + z (24255 + 8 z (-43659 + z (121275 + 8 z (-13860 + z (4455 + 8 (-55 + z) 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