A characterization theorem and its applications for d-orthogonality of Sheffer polynomial sets
Classical Analysis and ODEs
2016-03-24 v1
Abstract
The purpose of this paper is to find the characterization of the Sheffer polynomial sets satisfying the d-orthogonality conditions. The generating function form of these polynomial sets is given in Theorem 2.2. As applications of the Theorem 2.2, we revisit the d-orthogonal polynomial sets exist in the literature and discover new d-orthogonal polynomial sets. Moreover, we obtain the d-dimensional functional vector ensuring the d-orthogonality of these new polynomial sets.
Keywords
Cite
@article{arxiv.1603.07261,
title = {A characterization theorem and its applications for d-orthogonality of Sheffer polynomial sets},
author = {Serhan Varma},
journal= {arXiv preprint arXiv:1603.07261},
year = {2016}
}
Comments
14 pages