GENERALIZED DEGENERATE HARMONIC NUMBERS AND THEIR APPLICATIONS WITH RIORDAN ARRAYS


Duran Ö., ÖMÜR N., KOPARAL S.

Integers, cilt.24, 2024 (Scopus) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 24
  • Basım Tarihi: 2024
  • Doi Numarası: 10.5281/zenodo.10944072
  • Dergi Adı: Integers
  • Derginin Tarandığı İndeksler: Scopus
  • Kocaeli Üniversitesi Adresli: Evet

Özet

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.