2-iterated Sheffer polynomials
Classical Analysis and ODEs
2015-06-02 v1
Abstract
In this article, the 2-iterated Sheffer polynomials are introduced by means of generating function and operational representation. Using the theory of Riordan arrays and relations between the Sheffer sequences and Riordan arrays, a determinantal definition for these polynomials is established. The quasi-monomial and other properties of these polynomials are derived. The generating function, determinantal definition, quasi-monomial and other properties for some new members belonging to this family are also considered.
Cite
@article{arxiv.1506.00087,
title = {2-iterated Sheffer polynomials},
author = {Subuhi Khan and Mumtaz Riyasat},
journal= {arXiv preprint arXiv:1506.00087},
year = {2015}
}