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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=5, b>=a > For fixed z and a=5, b=5





http://functions.wolfram.com/07.23.03.4415.01









  


  








Input Form





Hypergeometric2F1[5, 5, 3/2, -z] == (Sqrt[z] Sqrt[1 + z] (15159 - 2 z (50989 - 47956 z + 6088 z^2)) + 35 (35 + 32 z (-35 + z (105 + 4 (-14 + z) z))) ArcSinh[Sqrt[z]])/ (16384 Sqrt[z] (1 + z)^(17/2))








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