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A matrix approach to some identities involving Sheffer polynomial sequences

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  • Kim, Dae San
  • Kim, Taekyun

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.

Suggested Citation

  • Kim, Dae San & Kim, Taekyun, 2015. "A matrix approach to some identities involving Sheffer polynomial sequences," Applied Mathematics and Computation, Elsevier, vol. 253(C), pages 83-101.
    • Handle: RePEc:eee:apmaco:v:253:y:2015:i:c:p:83-101
    DOI: 10.1016/j.amc.2014.12.048
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