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Some Generalizations of the MacMahon Master Theorem

Tuite, Michael P.
Citation
Michael P. Tuite(2011)Some Generalizations of the MacMahon Master Theorem, Michael P. Tuite
Abstract
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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Attribution-NonCommercial-NoDerivs 3.0 Ireland