Harmonic number identities via polynomials with r-Lah coefficients

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KARGIN L., CAN M.

COMPTES RENDUS MATHEMATIQUE, vol.358, no.5, pp.535-550, 2020 (SCI-Expanded, Scopus)

  • Publication Type: Article / Article
  • Volume: 358 Issue: 5
  • Publication Date: 2020
  • Doi Number: 10.5802/crmath.53
  • Journal Name: COMPTES RENDUS MATHEMATIQUE
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aquatic Science & Fisheries Abstracts (ASFA), MathSciNet, zbMATH
  • Page Numbers: pp.535-550
  • Open Archive Collection: AVESIS Open Access Collection
  • Akdeniz University Affiliated: Yes

Abstract

In this paper, polynomials whose coefficients involve r-Lah numbers are used to evaluate several summation formulae involving binomial coefficients, Stirling numbers, harmonic or hyperharmonic numbers. Moreover, skew-hyperharmonic number is introduced and its basic properties are investigated.