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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/07.23.03.4308.01









  


  








Input Form





Hypergeometric2F1[4, 6, -(3/2), -z] == (1/(4096 (1 + z)^(23/2))) (Sqrt[1 + z] (4096 + z (110592 + z (3239936 + z (-33483245 + 4 z (12522570 + z (-3718417 + 1848 z (37 + z))))))) + 45045 z^(5/2) (-231 + 10 z (99 + 8 z (-11 + 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