Uniform asymptotic expansions for Charlier polynomials: 93
Journal of Approximation Theory
Some discrete multiple orthogonal polynomials
Journal of Computational and Applied Mathematics - Proceedings of the sixth international symposium on orthogonal polynomials, special functions and their applications
Necessary and sufficient condition that the limit of Stieltjes transforms is a Stieltjes transform
Journal of Approximation Theory
Difference equations for discrete classical multiple orthogonal polynomials
Journal of Approximation Theory
On the speed of convergence to stationarity of the Erlang loss system
Queueing Systems: Theory and Applications
Multiple little q-Jacobi polynomials
Journal of Computational and Applied Mathematics - Special issue: Proceedings of the seventh international symposium on Orthogonal polynomials, special functions and applications
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We investigate multiple Charlier polynomials and in particular we will use the (nearest neighbor) recurrence relation to find the asymptotic behavior of the ratio of two multiple Charlier polynomials. This result is then used to obtain the asymptotic distribution of the zeros, which is uniform on an interval. We also deal with the case where one of the parameters of the various Poisson distributions depends on the degree of the polynomial, in which case we obtain another asymptotic distribution of the zeros.