On the convergence of certain basic sets of polynomials
Abstract
In this paper, various problems relating to the properties of the Hadamard set of simple basic sets of polynomials are treated with particular emphasis on distinction between the single and several complex variables cases. An important result is established for the relationship between the Cannon functions of simple sets of polynomials in several complex variables and those of the directly Hadamard sets. Possible results on the effectiveness of Hadamard set for several complex variables at the origin are also discussed.
Copyright © 2013 A. El-Sayed Ahmed. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Cite this article
A. El-Sayed Ahmed, On the convergence of certain basic sets of polynomials, J. Math. Comput. Sci. 3 (2013), 1211–1223.
BibTeX
@article{Ahmed2013,
author = {El-Sayed Ahmed, A.},
title = {On the convergence of certain basic sets of polynomials},
journal = {J. Math. Comput. Sci.},
volume = {3},
year = {2013},
pages = {1211--1223},
doi = {}
}