Corrigendum to "WKB (Liouville-Green) analysis of second order difference equations and applications" [J. Approx. Theory 69 (1992) 269-301]

Corrigendum Corrigendum to " WKB (Liouville–Green) analysis of second order difference equations and applications " [J. There is a hypothesis which is missing from Theorem 2.3 in the above article [1]. The line above Eq. (2.34). 'For N 1 infinite assume that (2.30) and (2.31) hold for all n ≥ N , that' should read 'For N 1 infinite assume that (2.30) and (2.31) hold for all n ≥ N , that for each x, |q(x, n)| is a bounded sequence, that'. With the extra hypothesis we have the following. Lemma 2.4a. Suppose the assumptions of Theorem 2.3 (with the above modification) hold and N 1 is equal to infinity. Then for x ̸ ∈ C the sequences |u 0 (x, n)| and |v 0 (x, n)| are bounded strictly away from infinity and zero respectively and there is a d > 1 so that |u 0 (x, n)| > d and |v 0 (x, n)| < 1/d. Furthermore for each x ̸ ∈ C |s(x, n)| is uniformly bounded away from zero.