Asymptotic Formulas for the Zeros of the Meixner Polynomials

The zeros of the Meixner polynomial m_n(χ; β, c) are real, distinct, and lie in (0, ∞). Let α_{n, s} denote the sth zero of m_n(nα; β, c), counted from the right; and let ᾱ_{n, s} denote the sth zero of m_n(nα; β, c), counted from the left. For each fixed s, asymptotic formulas are obtained for both α_{n, s} and ᾱ_{n, s}, as n → ∞. © 1999 Academic Press.