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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] > Series representations > Generalized power series > Expansions at z==infinity > Case of poles of order r in the points -ar+k/;r ∈ {1,2,3,4} && k ∈ N+





http://functions.wolfram.com/07.34.06.0019.01









  


  








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] == AsymptoticMeijerGSeries[Power][{{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, Infinity, Infinity}] /; (p > q || (p == q && Abs[z] > 1)) && Element[Subscript[a, k - 1] - Subscript[a, k], Integers] && Subscript[a, k - 1] - Subscript[a, k] >= 0 && 2 <= k <= r && !Element[Subscript[a, k] - Subscript[a, 1], Integers] && r + 1 <= k <= n && Element[r, {1, 2, 3, 4}]








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