A matrix approach to some identities involving Sheffer polynomial sequences

Dae San Kim and Taekyun Kim

Applied Mathematics and Computation, 2015, vol. 253, issue C, 83-101

Abstract: A simple but elegant method was adopted in Youn and Yang (2011) in order to derive a differential equation and recursive formulas for Sheffer polynomials. Namely, they used the so called the generalized Pascal functional matrix of an analytic function and the Wronskian matrix of several analytic functions. In this paper, we will use their method to find some identities satisfied by Sheffer polynomials.

Keywords: Sheffer sequences; Umbral calculus; Generalized Pascal functional matrix; Wronskian matrix (search for similar items in EconPapers)
Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:253:y:2015:i:c:p:83-101

DOI: 10.1016/j.amc.2014.12.048

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