A matrix approach to some identities involving Sheffer polynomial sequences

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摘要

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.

论文关键词:Sheffer sequences,Umbral calculus,Generalized Pascal functional matrix,Wronskian matrix

论文评审过程:Available online 8 January 2015.

论文官网地址:https://doi.org/10.1016/j.amc.2014.12.048