Continuity of multivariate rational functions
History and Overview
2014-03-31 v1
Abstract
If the denominator of a rational function of several variables is sum of even powers and the numerator is a monomial, then we give a numerical criterion, using the exponents involved in the expression of the rational function, to decide if the limit at the origin exists or not.
Cite
@article{arxiv.1403.7434,
title = {Continuity of multivariate rational functions},
author = {Ali Sinan Sertoz},
journal= {arXiv preprint arXiv:1403.7434},
year = {2014}
}