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

2018/07/08 by Levent Kargın, Kargın, Levent, Mourad Rahmani +1
Mathematics · #11B68 #11B83 #Advanced Mathematical Identities #Analytic Number Theory Research #FOS: Mathematics #Mathematical functions and polynomials #Number Theory (math.NT) #math.NT #msc:11B68 #msc:11B83

paper · pdf · doi:10.48550/arxiv.1807.02832

arxiv created 2018/07/08 · openalex publication_date 2018/07/08 · arxiv updated 2018/07/10 · openalex created_date 2018/07/19 · openalex updated_date 2026/07/28

Abstract

In this note, we give an alternative proof of the generating function of p-Bernoulli numbers. Our argument is based on the Euler's integral representation.

Citations

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

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