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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/07.23.03.4304.01









  


  








Input Form





Hypergeometric2F1[4, 6, -(7/2), -z] == (1/(28672 (1 + z)^(27/2))) (Sqrt[1 + z] (28672 + z (569344 + z (6168576 + z (56107008 + z (837341184 + z (-4989305007 + 4 z (1224322724 + z (-256414111 + 72072 z (47 + z))))))))) + 14549535 z^(9/2) (-143 + 2 z (195 + 8 z (-15 + 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