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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=6





http://functions.wolfram.com/07.23.03.4300.01









  


  








Input Form





Hypergeometric2F1[4, 6, -(11/2), -z] == (1/(135168 (1 + z)^(31/2))) (Sqrt[1 + z] (135168 + z (2617344 + z (25333760 + z (168325120 + z (917065728 + z (5051232256 + z (51108958208 + z (-211298435685 + 4 z (38393447150 + z (-6188609633 + 1108536 z (57 + z))))))))))) + 334639305 z^(13/2) (-323 + 2 z (323 + 8 z (-19 + 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