### Abstract:

We investigate the zeros of a family of hypergeometric polynomials Mn (x; β, c) = (β)n 2F1 (-n, -x; β; 1 – 1/c), n ϵ N, known as Meixner polynomials, that are orthogonal on (0,∞) with respect to a discrete measure for β > 0 and 0 < c > 1. When β = - N, N ϵ N and c = p/p-1, the polynomials Kn (x;p, N) = (- N)n 2 F1 (-n, -x, -N; 1/p), n = 0,1,… N, 0 < p < 1 are referred to as Krawtchouk polynomials. We prove results for the Zero location of the orthogonal polynomials Mn (x; β, c), c < 0 and n < 1 – β, the quasiorthogonal polynomials Mn (x; β, c), -k < β < -k + 1, k = 1, … ,n – 1 and 0 < c < 1 or c > 1, as well as the polynomials Kn (x; p, N) with non-Hermitian orthogonality for 0 < p < 1 and n = N + 1, N + 2, …. We also show that the polynomials Mn (x; β, c), β ϵ R are real-rooted when c 0.