Some Identities of the Degenerate Higher Order Derangement Polynomials and Numbers
Copyright policy )Some Identities of the Degenerate Higher Order Derangement Polynomials and Numbers
Recently, Kim-Kim (J. Math. Anal. Appl. (2021), Vol. 493(1), 124521) introduced the λ-Sheffer sequence and the degenerate Sheffer sequence. In addition, Kim et al. (arXiv:2011.08535v1 17 November 2020) studied the degenerate derangement polynomials and numbers, and investigated some properties of those polynomials without using degenerate umbral calculus. In this paper, the y the degenerate derangement polynomials of order s (s∈N) and give a combinatorial meaning about higher order derangement numbers. In addition, the author gives some interesting identities related to the degenerate derangement polynomials of order s and special polynomials and numbers by using degenerate Sheffer sequences, and at the same time derive the inversion formulas of these identities.
- Catholic University of Daegu Korea (Republic of)
the degenerate Bernoulli (Euler) polynomials, the degenerate Daehee polynomials, the degenerate Bell polynomials., the degenerate Sheffer sequence, derangement numbers and polynomials, the degenerate Frobenius–Euler polynomials, degenerate derangement numbers and polynomials, Lah–Bell numbers and polynomials
the degenerate Bernoulli (Euler) polynomials, the degenerate Daehee polynomials, the degenerate Bell polynomials., the degenerate Sheffer sequence, derangement numbers and polynomials, the degenerate Frobenius–Euler polynomials, degenerate derangement numbers and polynomials, Lah–Bell numbers and polynomials
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