GENERALIZED DEGENERATE HARMONIC NUMBERS AND THEIR APPLICATIONS WITH RIORDAN ARRAYS

Duran Ö., ÖMÜR N., KOPARAL S.

Integers, vol.24, 2024 (Scopus) identifier

  • Publication Type: Article / Article
  • Volume: 24
  • Publication Date: 2024
  • Doi Number: 10.5281/zenodo.10944072
  • Journal Name: Integers
  • Journal Indexes: Scopus
  • Bursa Uludag University Affiliated: Yes

Abstract

In this paper, we give some identities involving degenerate harmonic numbers and some special degenerate numbers by using Riordan arrays. For example, [Formula Presented], where Hn,λ(α) are generalized degenerate harmonic numbers, Hn,λr (α) are generalized degenerate hyperharmonic numbers of order r, Hλ(n, r, α) are generalized degenerate harmonic numbers of rank r, Dn,λ are degenerate Daehee numbers, and βn,λ are degenerate Bernoulli numbers.