Counting descents, rises, and levels, with prescribed first element, in words

Recently, Kitaev and Remmel refined the well-known permutation statistic ``descent'' by fixing parity of one of the descent's numbers which was extended and generalized in several ways in the literature. In this paper, we shall fix a set partition of the natural numbers ℕ, (ℕ 1...

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Bibliographic Details
Main Authors: Sergey Kitaev, Toufik Mansour, Jeff Remmel
Format: Article
Language:English
Published: Discrete Mathematics & Theoretical Computer Science 2008-08-01
Series:Discrete Mathematics & Theoretical Computer Science
Online Access:http://www.dmtcs.org/dmtcs-ojs/index.php/dmtcs/article/view/680