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We investigate multiple Charlier polynomials and in particular we will usethe (nearest neighbor) recurrence relation to find the asymptotic behavior ofthe ratio of two multiple Charlier polynomials. This result is then used toobtain the asymptotic distribution of the zeros, which is uniform on aninterval. We also deal with the case where one of the parameters of the variousPoisson distributions depend on the degree of the polynomial, in which case weobtain another asymptotic distribution of the zeros.

Asymptotics for the ratio and the zeros of multiple Charlier polynomials