On generalized degenerate harmonic numbers

Duran Ö., ÖMÜR N., KOPARAL S.

Indian Journal of Pure and Applied Mathematics, 2025 (SCI-Expanded, Scopus) identifier identifier

  • Publication Type: Article / Article
  • Publication Date: 2025
  • Doi Number: 10.1007/s13226-025-00800-x
  • Journal Name: Indian Journal of Pure and Applied Mathematics
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, INSPEC, zbMATH
  • Keywords: Degenerate Stirling numbers of the first kind, Generalized degenerate harmonic numbers, Generating functions
  • Bursa Uludag University Affiliated: Yes

Abstract

In this paper, we give various properties including binomial coefficients, degenerate Daehee numbers, degenerate Stirling numbers of the first kind and some types of generalized degenerate harmonic numbers. Particularly, we define generalized degenerate harmonic numbers of rank and give some interesting identities and results.