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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,r] > Series representations > Residue representations





http://functions.wolfram.com/07.35.06.0004.01









  


  








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, r] == -Sum[Residue[Product[Gamma[Subscript[b, k] + s] Product[Gamma[1 - Subscript[a, k] - s], {k, 1, n}], {k, 1, m}]/ Product[Gamma[Subscript[a, k] + s] Product[ Gamma[1 - Subscript[b, k] - s], {k, m + 1, q}], {k, n + 1, p}]/ z^(s/r), {s, 1 - Subscript[a, k] + j}], {k, 1, n}, {j, 0, Infinity}] /; p > q || (p == q && 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