Some nonlinear functions of Bernoulli and Euler umbrae

2011/01/04 by Christophe Vignat, Vignat, C.
Mathematics · #Advanced Combinatorial Mathematics #Advanced Mathematical Identities #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Mathematical functions and polynomials

paper · pdf · doi:10.48550/arxiv.1101.0770

openalex publication_date 2011/01/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In a recent paper, Yi-Ping Yu has given some interesting nonlinear moments of the Bernoulli umbra; the aim of this paper is to show the probabilistic counterpart of these results and to extend them to Bernoulli polynomials.

Citations

• Bernoulli Operator and Riemann's Zeta Function

Related

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• A note on the generalized Bernoulli and Euler Polynomials