Asymptotics for the ratio and the zeros of multiple Charlier polynomials
نویسندگان
چکیده
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 depend on the degree of the polynomial, in which case we obtain another asymptotic distribution of the zeros.
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ورودعنوان ژورنال:
- Journal of Approximation Theory
دوره 170 شماره
صفحات -
تاریخ انتشار 2012