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Generalized permutations related to the degenerate Eulerian numbers

2020/07/26 by Orli Herscovici, Herscovici, Orli
Mathematics · Physics and Astronomy · #Advanced Combinatorial Mathematics #Advanced Mathematical Identities #Advanced Mathematical Theories and Applications

paper · pdf · doi:10.48550/arxiv.2007.13205

Abstract

In this work we propose a combinatorial model that generalizes the standard definition of permutation. Our model generalizes the degenerate Eulerian polynomials and numbers of Carlitz from 1979 and provides missing combinatorial proofs for some relations on the degenerate Eulerian numbers.

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