Some numbers and polynomials related to degenerate harmonic and degenerate hyperharmonic numbers

Dae San Kim, Taekyun Kim

Published 2023-06-21Version 1

Recently, the degenerate harmonic and the degenerate hyperharmonic numbers are introduced respectively as degenerate versions of the harmonic and the hyperharmonic numbers. The aim of this paper is to introduce the degenerate harmonic-Fubini polynomials and numbers related to the degenerate harmonic numbers and to study their properties, explicit expressions and some identities. In addition, as generalizations of those polynomials and numbers, we also introduce the degenerate hyperharmonic-Fubini polynomials and numbers related to the degenerate hyperharmonic numbers and derive similar results to the degenerate harmonic-Fubini polynomials and numbers. \end{abstract}