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variants of this functions
Hypergeometric2F1Regularized




Mathematica Notation

Traditional Notation









Hypergeometric Functions > Hypergeometric2F1Regularized[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/07.24.26.0050.01









  


  








Input Form





Hypergeometric2F1Regularized[a, 1/3 + a, 5/6 + 2 a, (27 z)/(1 + 4 z)^3]/ (1 + 4 z)^(3 a) == ((2^(-(1/3) - 2 a) Gamma[1/3 + 2 a])/ (Sqrt[Pi] Gamma[3 a] Gamma[1/6 + a])) MeijerG[{{1 - 3 a}, {2/3 + a}}, {{1/6 - 2 a, 0}, {}}, 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)





2001-10-29