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We analyze the asymptotic distribution of roots of Charlier polynomials withnegative parameter depending linearly on the index. The roots cluster on curvesin the complex plane. We determine implicit equations for these curves anddeduce the limiting density of the root distribution supported on these curves.The proof is based on a determination of the limiting Cauchy transform in aspecific region and a careful application of the saddle point method. Theobtained result represents a solvable example of a more general open problem.

Asymptotic root distribution of Charlier polynomials with large negative parameter