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Generalizations of the Euler-Mascheroni constant associated with the hyperharmonic numbers

2021/09/03 by Mümün Can, Can, Mümün, Ayhan Dil +7
Mathematics · #11B73 #11B83 #11M41 #11Y60 #33B15 #Advanced Mathematical Identities #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Mathematics and Applications #Meromorphic and Entire Functions #Number Theory (math.NT)

paper · pdf · doi:10.48550/arxiv.2109.01515

openalex publication_date 2021/09/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, we present two new generalizations of the Euler-Mascheroni constant arising from the Dirichlet series associated to the hyperharmonic numbers. We also give some inequalities related to upper and lower estimates, and evaluation formulas.

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