Orthogonal polynomials on a bi-lattice
نویسندگان
چکیده
We investigate generalizations of the Charlier and the Meixner polynomials on the lattice N and on the shifted lattice N + 1 − β. We combine both lattices to obtain the bi-lattice N ∪ (N + 1 − β) and show that the orthogonal polynomials on this bi-lattice have recurrence coefficients which satisfy a non-linear system of recurrence equations, which we can identify as a limiting case of an (asymmetric) discrete Painlevé equation. 2010 Mathematics Subject Classification 33C47, 42C05, 34M55, 65Q30.
منابع مشابه
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تاریخ انتشار 2010