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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=2, b>=a > For fixed z and a=2, b=6





http://functions.wolfram.com/07.23.03.3748.01









  


  








Input Form





Hypergeometric2F1[2, 6, -(7/2), -z] == (1/(17920 (1 + z)^(23/2))) (Sqrt[1 + z] (17920 + z (258560 + z (1919488 + z (11009536 + z (91716608 + z (-204637355 + 924 z (22745 + z (3049 + 8 z (46 + 3 z))))))))) + 14549535 z^(9/2) (-11 + 10 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