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On the Zero Attractor of the Euler Polynomials

William M. Y. Goh·Robert Boyer
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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.

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William M. Y. Goh, Robert Boyer. 2004-09-04. On the Zero Attractor of the Euler Polynomials. https://arxiv.org/abs/math/0409062

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