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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=3, b>=a > For fixed z and a=3, b=6





http://functions.wolfram.com/07.23.03.4086.01









  


  








Input Form





Hypergeometric2F1[3, 6, 5/2, -z] == ((-Sqrt[z]) Sqrt[1 + z] (105 + 2 z (-4105 + 8 z (159 + z (33 + 4 z)))) + 105 (1 + 20 (1 - 4 z) z) ArcSinh[Sqrt[z]])/(10240 z^(3/2) (1 + z)^(13/2))








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