The Szegö curve and Laguerre polynomials with large negative parameters

Details The Szegö curve and Laguerre polynomials with large negative parameters The Szegö curve and Laguerre polynomials with large negative parameters

2010-11-09

arxiv.org/abs/1011.2017v1

Mathematics

Complex Variables

Scientific paper

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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