Work

The dual of number sequences, Riordan polynomials, and Sheffer polynomials

Year: 2021

Type: article

Abstract: In this paper we introduce different families of numerical and polynomial sequences by using Riordan pseudo involutions and Sheffer polynomial sequences. Many examples are given including dual of Hermite numbers and polynomials, dual of Bell numbers and polynomials, among other. The coefficients of some of these polynomials are related to the counting of different families of set partitions and permutations. We also studied the dual of Catalan numbers and dual of Fuss-Catalan numbers, giving several combinatorial identities.

Source: Special Matrices

DOI: 10.1515/spma-2021-0153

Authors: Tian-Xiao He, José L. Ramírez

Institutions: Illinois Wesleyan University, Universidad Nacional de Colombia

Language: English

Topic: Advanced Combinatorial Mathematics

Subfield: Discrete Mathematics and Combinatorics

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $1,183

OpenAlex ID: W4200522788

FWCI:

Cites: 12

Cited by:

Related to: 10