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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/07.23.03.4315.01









  


  








Input Form





Hypergeometric2F1[4, 6, 3/2, -z] == (1/(4096 Sqrt[z] (1 + z)^(17/2))) (Sqrt[z] Sqrt[1 + z] (3781 - 4 z (5777 + z (-4371 + 8 z (22 + z)))) - 315 (-1 + 2 z (15 + 8 z (-5 + 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