Recurrence Relations for Strongly <i>q</i>-Log-Convex Polynomials

Abstract

Abstract We consider a class of strongly q -log-convex polynomials based on a triangular recurrence relation with linear coefficients, and we show that the Bell polynomials, the Bessel polynomials, the Ramanujan polynomials and the Dowling polynomials are strongly q -log-convex. We also prove that the Bessel transformation preserves log-convexity.