Copyright © 2011 H. Y. Lee et al. 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.

Abstract

We construct a new type of -Euler numbers and polynomials with weak weight : , , respectively. Some interesting results and relationships are obtained. Also, we observe the behavior of roots of the -Euler numbers and polynomials with weak weight . By means of numerical experiments, we demonstrate a remarkably regular structure of the complex roots of -Euler polynomials with weak weight .