On the Zero Attractor of the Euler Polynomials
组合数学
2016-09-07 v1 复变函数
摘要
We study the limiting behavior of the zeros of the Euler polynomials. When linearly scaled, they approach a definite curve in the complex plane related to the Szego curve which governs the behavior of the roots of the Taylor polynomials associated to the exponential function. Further, under a conformal transformation, the scaled zeros are uniformly distributed.
引用
@article{arxiv.math/0409062,
title = {On the Zero Attractor of the Euler Polynomials},
author = {William M. Y. Goh and Robert Boyer},
journal= {arXiv preprint arXiv:math/0409062},
year = {2016}
}
备注
34 pages, 6 figures