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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=6, b>=a > For fixed z and a=6, b=6





http://functions.wolfram.com/07.23.03.4511.01









  


  








Input Form





Hypergeometric2F1[6, 6, -(9/2), -z] == (1/(983040 (1 + z)^(33/2))) (Sqrt[1 + z] (983040 + z (23592960 + z (298844160 + z (2844786688 + z (26657161216 + z (460946669568 + z (-3723213628435 + 4 z (1496437733660 + z (-737270431983 + 8 (13454791433 - 386731441 z) z))))))))) + 14549535 z^(11/2) (-88179 + 2 z (169575 + 16 z (-11305 + 3990 z - 420 z^2 + 8 z^3))) 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