Electronic Research Archive (Nov 2023)

Some identities of degenerate multi-poly-Changhee polynomials and numbers

  • Sang Jo Yun ,
  • Sangbeom Park,
  • Jin-Woo Park,
  • Jongkyum Kwon

DOI
https://doi.org/10.3934/era.2023367
Journal volume & issue
Vol. 31, no. 12
pp. 7244 – 7255

Abstract

Read online

Recently, many researchers studied the degenerate multi-special polynomials as degenerate versions of the multi-special polynomials and obtained some identities and properties of the those polynomials. The aim of this paper was to introduce the degenerate multi-poly-Changhee polynomials arising from multiple logarithms and investigate some interesting identities and properties of these polynomials that determine the relationship between multi-poly-Changhee polynomials, the Stirling numbers of the second kind, degenerate Stirling numbers of the first kind and falling factorial sequences. In addition, we investigated the phenomenon of scattering the zeros of these polynomials.

Keywords