2024/02/25 by Ghania Guettai, Guettai, Ghania, Diffalah Laissaoui +3
Mathematics · #05A15 #05A19 #11B83 #60C05 #Combinatorics (math.CO) #FOS: Mathematics #Mathematical functions and polynomials
paper · pdf · doi:10.48550/arxiv.2402.16160
openalex publication_date 2024/02/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
This paper sets out to introduce the generalized derangement polynomials of order r . It then proceeds to establish various identities associated with these polynomials, along with providing recurrence relations for derangement polynomials of order r. Additionally, the paper offers a probabilistic approach for the generalized derangement polynomials of order r . Furthermore, it furnishes a clear expression for the Hankel determinants pertaining to these generalized derangement polynomials of order r, and subsequently infers the Hankel determinants for derangement polynomials of the same order, as well as for the count of cyclic derangements.