Generalized harmonic numbers via poly-Bernoulli polynomials

Kargın L., Cenkci M., Dil A., Can M.

Publicationes Mathematicae, cilt.100, sa.3-4, ss.365-386, 2022 (SCI-Expanded) identifier

  • 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.