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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=5, b>=a > For fixed z and a=5, b=6





http://functions.wolfram.com/07.23.03.4446.01









  


  








Input Form





Hypergeometric2F1[5, 6, -(11/2), -z] == (1/(1081344 (1 + z)^(33/2))) (Sqrt[1 + z] (1081344 + z (23199744 + z (251658240 + z (1900544000 + z (11979849728 + z (78083260416 + z (961564377088 + z (-5267743662665 + 2 z (2796167701455 - 4 z (208348560269 + 2 z (-7300194107 + 23279256 z))))))))))) - 334639305 z^(13/2) (6783 + 8 z (-2261 + 4 z (399 + 4 (-21 + 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