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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=-7/2, b>=a > For fixed z and a=-7/2, b=-5/2





http://functions.wolfram.com/07.23.03.1584.01









  


  










Input Form





Hypergeometric2F1[-(7/2), -(5/2), 11/2, -z] == -((1/(67108864 z^(9/2))) (3 (Sqrt[z] Sqrt[1 + z] (525 + 2 z (4025 + 4 z (8155 + 2 z (26725 + 8 z (-140197 + 2 z (83123 + 4 z (-3929 + 30 z))))))) + 105 (-5 + 16 z (-5 + 2 z (-21 + 4 z (-35 + 2 z (-175 + 8 z (105 - 70 z + 8 z^2)))))) 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