A closed formula for the generating function of p-Bernoulli numbers: An elementary proof

2018/06/11 by Helmut Prodinger, Prodinger, Helmut, Sarah J. Selkirk +1 · 1 citation
Mathematics · Physics and Astronomy · #11B68 #11B83 #Advanced Combinatorial Mathematics #Advanced Mathematical Identities #Combinatorics (math.CO) #FOS: Mathematics #Mathematical functions and polynomials #Number Theory (math.NT) #Statistical Mechanics and Entropy #math.CO #math.NT #msc:11B68 #msc:11B83

paper · pdf · doi:10.48550/arxiv.1806.05968

arxiv created 2018/06/11 · openalex publication_date 2018/06/11 · arxiv updated 2018/06/18 · openalex created_date 2022/09/12 · openalex updated_date 2026/07/28

Abstract

For a two parameter family of Bernoulli numbers B_{n, p} the exponential generating function is derived by elementary methods.

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• On the generating function of p-Bernoulli numbers: an alternative approach

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