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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=4





http://functions.wolfram.com/07.23.03.3653.01









  


  








Input Form





Hypergeometric2F1[2, 4, -(9/2), -z] == (1/(2016 (1 + z)^(21/2))) (Sqrt[1 + z] (2016 + z (23744 + z (134240 + z (504576 + z (1588160 + z (7474304 + 3 z (-2661013 + 4004 z (25 + z)))))))) + 765765 z^(11/2) (-13 + 6 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