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• W3093029949 abstract "In this paper, we characterize a duality relation between Eulerian recurrences and Eulerian recurrence systems, which generalizes and unifies Hermite-Biehler decompositions of several enumerative polynomials, including flag descent polynomials for hyperoctahedral group, flag ascent-plateau polynomials for Stirling permutations, up-down run polynomials for symmetric group and alternating run polynomials for hyperoctahedral group. As applications, we derive some properties of associated enumerative polynomials. In particular, we find that both the ascent-plateau polynomials and left ascent-plateau polynomials for Stirling permutations are alternatingly increasing, and so they are unimodal with modes in the middle." @default.
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• W3093029949 date "2020-10-19" @default.
• W3093029949 modified "2023-09-27" @default.
• W3093029949 title "Eulerian pairs and Eulerian recurrence systems" @default.
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• W3093029949 doi "https://doi.org/10.48550/arxiv.2010.09513" @default.
• W3093029949 hasPublicationYear "2020" @default.
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