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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/07.23.03.4306.01









  


  








Input Form





Hypergeometric2F1[4, 6, -(5/2), -z] == (1/(20480 (1 + z)^(25/2))) (Sqrt[1 + z] (20480 + z (442368 + z (6004736 + z (118407168 + z (-898013535 + 4 z (266430815 + z (-65493521 + 24024 z (42 + z)))))))) + 765765 z^(7/2) (-429 + 10 z (143 + 8 z (-13 + 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