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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/07.23.03.3750.01









  


  








Input Form





Hypergeometric2F1[2, 6, -(5/2), -z] == (1/(2560 (1 + z)^(21/2))) (Sqrt[1 + z] (2560 + z (37888 + z (324096 + z (3555328 + z (-10162835 + 84 z (15420 + z (2389 + 8 z (41 + 3 z)))))))) + 765765 z^(7/2) (-9 + 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