On the generalized Bernoulli numbers

2018/01/21 by Donal F. Connon, Connon, Donal F.
Mathematics · #11M06 #Advanced Combinatorial Mathematics #Advanced Mathematical Identities #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Mathematical functions and polynomials

paper · pdf · doi:10.48550/arxiv.1801.08027

openalex publication_date 2018/01/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We derive an expression for the generalized Bernoulli numbers in terms of the Bernoulli numbers involving the (exponential) complete Bell polynomials.

Related

• On Some Explicit Formulas for Bernoulli Numbers and Polynomials
• A closed form for the generalized Bernoulli polynomials via Faà di Bruno's formula
• Identity for generalized Bernoulli polynomials
• Various applications of the (exponential) complete Bell polynomials
• The r-Bell numbers