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variants of this functions
HypergeometricPFQ






Mathematica Notation

Traditional Notation









Hypergeometric Functions > HypergeometricPFQ[{a1,a2,a3},{b1,b2},z] > Representations through more general functions > Through Meijer G > Classical cases involving algebraic functions





http://functions.wolfram.com/07.27.26.0014.01









  


  










Input Form





HypergeometricPFQ[{a, a + 1/3, a + 2/3}, {b, 3 a - b + 3/2}, (27 z)/(1 + 4 z)^3]/(1 + 4 z)^(3 a) == ((Gamma[3/2 + 3 a - b] Gamma[b])/(2 Pi Gamma[3 a])) MeijerG[{{1 - 3 a}, {2 + 3 a - 2 b, -1 - 3 a + 2 b}}, {{0, 1 - b, -(1/2) - 3 a + b}, {}}, z] /; Abs[z] > 1










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





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