A note on deranged Bell polynomials and numbers
Year: 2026
Type: article
Abstract: In this paper, we introduce the deranged Bell polynomials as a natural generalization of the deranged Bell numbers defined by Belbachir et al. and investigate several of their interesting properties. Moreover, using umbral calculus, we express these polynomials as linear combinations of Bernoulli, Euler, Changhee, Daehee, and Bell polynomials, thereby revealing their interrelationships.
Source: Mathematica Slovaca
DOI: 10.1515/ms-2026-0289
Authors: Sang Jo Yun, Jin-Woo Park
Institutions: Dong-A University, Daegu University
Language: English
Subfield: Discrete Mathematics and Combinatorics
Field: Mathematics
Domain: Physical Sciences
Open Access status: hybrid
Estimated APC paid: $2,712
OpenAlex ID: W7162103288