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variants of this functions
Hypergeometric2F1




Mathematica Notation

Traditional Notation









Hypergeometric Functions > Hypergeometric2F1[a,b,c,z] > Representations through more general functions > Through Meijer G > Classical cases involving algebraic functions with cubics in arguments





http://functions.wolfram.com/07.23.26.0057.01









  


  








Input Form





Hypergeometric2F1[a, 1/6 - a, 1/2, -((z (9 + 8 z)^2)/(27 (1 + z)))]/ (1 + z)^a == (Sqrt[Pi]/(Gamma[1/3 - a] Gamma[3 a])) MeijerG[{{2/3 + a, 1 - 3 a}, {}}, {{0}, {1/2}}, z] /; Abs[z] < 1 || Re[z] > 0








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)





2001-10-29