Generalized harmonic numbers via poly-Bernoulli polynomials
Publicationes Mathematicae, vol.100, no.3-4, pp.365-386, 2022 (SCI-Expanded, Scopus)
- Publication Type: Article / Article
- Volume: 100 Issue: 3-4
- Publication Date: 2022
- Doi Number: 10.5486/pmd.2022.9074
- Journal Name: Publicationes Mathematicae
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, MathSciNet, zbMATH, DIALNET
- Page Numbers: pp.365-386
- Keywords: congruences, generalized harmonic numbers, harmonic numbers, hyper-sums, hyperharmonic numbers, poly-Bernoulli polynomials, Stirling numbers
- Akdeniz University Affiliated: Yes
Abstract
© 2022 University of Debrecen, Institute of Mathematics. All rights reserved.We present a relationship between the generalized hyperharmonic numbers and the poly-Bernoulli polynomials, motivated from the connections between harmonic and Bernoulli numbers. This relationship yields numerous identities for the hypersums and several congruences.