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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=4, b>=a > For fixed z and a=4, b=4





http://functions.wolfram.com/07.23.03.4207.01









  


  










Input Form





Hypergeometric2F1[4, 4, -(11/2), -z] == (1/(177408 (1 + z)^(27/2))) (Sqrt[1 + z] (177408 + z (2822400 + z (21980672 + z (114546176 + z (474253056 + z (1909347072 + z (13498844160 + z (-33441102447 + 4 (3110559271 - 177499799 z) z)))))))) + 14549535 z^(13/2) (-1615 + 2 z (969 + 4 z (-57 + 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