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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=-3/2





http://functions.wolfram.com/07.23.03.0818.01









  


  










Input Form





Hypergeometric2F1[-(11/2), -(3/2), 9/2, -z] == (1/(50331648 z^(7/2))) (Sqrt[z] Sqrt[1 + z] (-3465 + 4 z (-15015 + z (-156387 + 8 z (1294674 + z (-1739857 + 16 z (9155 + z (1125 + 8 z (16 + z)))))))) + 3465 (1 + 6 z (3 + 32 z (1 + 14 z (1 - 6 z + 4 z^2)))) 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