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variants of this functions
MeijerG






Mathematica Notation

Traditional Notation









Hypergeometric Functions > MeijerG[{{a1,...,an},{an+1,...,ap}},{{b1,...,bm},{bm+1,...,bq}},z] > Primary definition





http://functions.wolfram.com/07.34.02.0001.01









  


  










Input Form





MeijerG[{{Subscript[a, 1], \[Ellipsis], Subscript[a, n]}, {Subscript[a, n + 1], \[Ellipsis], Subscript[a, p]}}, {{Subscript[b, 1], \[Ellipsis], Subscript[b, m]}, {Subscript[b, m + 1], \[Ellipsis], Subscript[b, q]}}, z] == (1/(2 Pi I)) ContourIntegrate[ (Product[Gamma[Subscript[b, k] + s], {k, 1, m}] Product[Gamma[1 - Subscript[a, k] - s], {k, 1, n}])/ (Product[Gamma[Subscript[a, k] + s], {k, n + 1, p}] Product[Gamma[1 - Subscript[b, k] - s], {k, m + 1, q}])/z^s, {s, \[ScriptCapitalL]}] /; Element[m, Integers] && m >= 0 && Element[n, Integers] && n >= 0 && Element[p, Integers] && p >= 0 && Element[q, Integers] && q >= 0 && m <= q && n <= p










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