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variants of this functions
HypergeometricPFQ






Mathematica Notation

Traditional Notation









Hypergeometric Functions > HypergeometricPFQ[{a1,a2,a3},{b1,b2},z] > Series representations > Generalized power series > Expansions on branch cut > For the function itself





http://functions.wolfram.com/07.27.06.0035.01









  


  










Input Form





HypergeometricPFQ[{Subscript[a, 1], Subscript[a, 2], Subscript[a, 3]}, {Subscript[b, 1], Subscript[b, 2]}, z] == ((Gamma[Subscript[b, 1]] Gamma[Subscript[b, 2]])/ (Gamma[Subscript[a, 1]] Gamma[Subscript[a, 2]] Gamma[Subscript[a, 3]])) Sum[(1/k!) MeijerG[{{1 - Subscript[a, 1] - k, 1 - Subscript[a, 2] - k, 1 - Subscript[a, 3] - k}, {}}, {{0}, {1 - Subscript[b, 1] - k, 1 - Subscript[b, 2] - k}}, (-x) E^(2 Pi I Floor[Arg[x - z]/(2 Pi)])] (z - x)^k, {k, 0, Infinity}] /; x > 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)





2007-05-02





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