Some Generalizations of the MacMahon Master Theorem

Details Some Generalizations of the MacMahon Master Theorem Some Generalizations of the MacMahon Master Theorem

2011-11-17

arxiv.org/abs/1111.4047v1

Mathematics

Combinatorics

16 pages, 4 figures

Scientific paper

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

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