On the Zero Attractor of the Euler Polynomials
Abstract
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.
 Publication:

arXiv Mathematics eprints
 Pub Date:
 September 2004
 arXiv:
 arXiv:math/0409062
 Bibcode:
 2004math......9062G
 Keywords:

 Mathematics  Combinatorics;
 Mathematics  Complex Variables;
 05C38;
 15A15 (Primary);
 05A15;
 15A18 (Secondary)
 EPrint:
 34 pages, 6 figures