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arXiv · 1011.2017

The Szeg\"o curve and Laguerre polynomials with large negative parameters

Carlos Díaz Mendoza·Ramón Orive
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Abstract

We study the asymptotic zero distribution of the rescaled Laguerre polynomials, $\displaystyle L_n^{(\alpha_n)}(nz)$, with the parameter $\alpha_n$ varying in such a way that $\displaystyle \lim_{n\rightarrow \infty}\alpha_n/n=-1$. The connection with the so-called Szeg\"{o} curve will be showed.

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Carlos Díaz Mendoza, Ramón Orive. 2010-11-09. The Szeg\"o curve and Laguerre polynomials with large negative parameters. https://arxiv.org/abs/1011.2017

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