Recurrence Relations for Strongly q-Log-Convex Polynomials

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.

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