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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=-5/2, b>=a > For fixed z and a=-5/2, b=6





http://functions.wolfram.com/07.23.03.2236.01









  


  










Input Form





Hypergeometric2F1[-(5/2), 6, 7/2, z] == -((1/(65536 z^(5/2))) (3 (Sqrt[z] (15 + z (180 - 77 z (242 + 195 z (-4 + 3 z)))) + 5 (-3 + 7 z (-5 + 3 z (-30 + 11 z (30 + 13 z (-5 + 3 z))))) ArcTanh[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