Some Identities Related to the Second-Order Eulerian Numbers

2021/04/19 by Amy M. Fu, Fu, Amy M.
Mathematics · #Advanced Mathematical Identities #Combinatorics (math.CO) #FOS: Mathematics #Functional Equations Stability Results #Mathematical functions and polynomials

paper · pdf · doi:10.48550/arxiv.2104.09316

openalex publication_date 2021/04/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We express the Nörlund polynomials in terms of the second-order Eulerian numbers. Based on this expression, we derive several identities related to the Bernoulli numbers. In particular, we present a short proof of the problem raised by Rzcadkowski and Urlińska.

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