Differential equation and recurrence relations of the Sheffer-Appell polynomial sequence: A matrix approach
Classical Analysis and ODEs
2019-03-25 v1
Abstract
Motivated by the effective impact of the Pascal functional and the Wronskian matrices, we investigate several identities and differential equation for the Sheffer-Appell polynomial sequence by using matrix algebra. The matrix approach, which we have used in this article, is convenient to derive the generating functions of the Sheffer-Appell polynomial sequence. By means of examples, we apply and also illustrate our results to an extended class of polynomial sequences.
Keywords
Cite
@article{arxiv.1903.09620,
title = {Differential equation and recurrence relations of the Sheffer-Appell polynomial sequence: A matrix approach},
author = {H. M. Srivastava and Saima Jabee and Mohammad Shadab},
journal= {arXiv preprint arXiv:1903.09620},
year = {2019}
}