On the Zero Attractor of the Euler Polynomials

Details On the Zero Attractor of the Euler Polynomials On the Zero Attractor of the Euler Polynomials

2004-09-04

arxiv.org/abs/math/0409062v1

Mathematics

Combinatorics

34 pages, 6 figures

Scientific paper

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.

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