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We study the asymptotic zero distribution of the rescaled Laguerrepolynomials, $\displaystyle L_n^{(\alpha_n)}(nz)$, 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 willbe showed.

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