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variants of this functions
Hypergeometric2F1






Mathematica Notation

Traditional Notation









Hypergeometric Functions > Hypergeometric2F1[a,b,c,z] > Specific values > Values at other z > Values at z==e+-Pi i/3





http://functions.wolfram.com/07.23.03.0664.01









  


  










Input Form





Hypergeometric2F1[a, 3 a, 2 a, E^(-((Pi I)/3))] == ((-4 I)^a Sqrt[Pi] Gamma[1/2 + a] (1/(Gamma[2/3] Gamma[1/3 + a]) + 1/(Gamma[1/3] Gamma[2/3 + a])))/3^((3 a + 1)/2)










Standard Form





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MathML Form







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Rule Form





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Contributed by





Bill Gosper










Date Added to functions.wolfram.com (modification date)





2007-05-02