Asymptotic Formulas for the Zeros of the Meixner Polynomials Original Research Article

The zeros of the Meixner polynomialmn(x; β, c) are real, distinct, and lie in (0, ∞). Letαn, sdenote thesth zero ofmn(nα; β, c), counted from the right; and letαn, sdenote thesth zero ofmn(nα; β, c), counted from the left. For each fixeds, asymptotic formulas are obtained for bothαn, sandαn, s, asn→∞.