Generalized harmonic numbers via poly-Bernoulli polynomials
Publicationes Mathematicae, cilt.100, sa.3-4, ss.365-386, 2022 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 100 Sayı: 3-4
- Basım Tarihi: 2022
- Doi Numarası: 10.5486/pmd.2022.9074
- Dergi Adı: Publicationes Mathematicae
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, MathSciNet, zbMATH, DIALNET
- Sayfa Sayıları: ss.365-386
- Anahtar Kelimeler: congruences, generalized harmonic numbers, harmonic numbers, hyper-sums, hyperharmonic numbers, poly-Bernoulli polynomials, Stirling numbers
- Akdeniz Üniversitesi Adresli: Evet
Özet
© 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.