Some generalizations of the MacMahon Master Theorem

  • Authors:

  • Michael P. Tuite

  • Affiliations:

  • School of Mathematics, Statistics and Applied Mathematics, National University of Ireland Galway, University Road, Galway, Ireland

  • Venue:
  • Journal of Combinatorial Theory Series A
  • Year:
  • 2013

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Abstract

We consider a number of generalizations of the @b-extended MacMahon Master Theorem for a matrix. The generalizations are based on replacing permutations on multisets formed from matrix indices by partial permutations over matrix or submatrix indices.