ON THE DEGENERATE DERANGED STIRLING NUMBERS OF THE FIRST KIND
Abstract
In 2023, Belbachir et al. defined the deranged Bell numbers and found some interesting formulas. In this paper, we define degenerate deranged Stirling numbers of the first kind as a natural variant of deranged Bell numbers and discover interesting identities such as their generating function, explicit formula, or Dobinski-like formula. Moreover, we define the degenerate deranged Stirling numbers of the first kind and investigate various properties of their polynomials. Received: November 30, 2025Accepted: January 28, 2026
Fields of Study & Subjects
Advanced Combinatorial Mathematics
Advanced Mathematical Identities
Mathematical functions and polynomials
Publication details
- Journal / source
- Far East Journal of Mathematical Sciences (FJMS)
- Volume
- 143
- Issue
- 3
- Pages
- 923–937
- Publication date
- 1 March 2026
- Language
- EN