Recurrence Relations for Strongly q-Log-Convex Polynomials

Details Recurrence Relations for Strongly q-Log-Convex Polynomials Recurrence Relations for Strongly q-Log-Convex Polynomials

2008-06-23

arxiv.org/abs/0806.3641v1

Mathematics

Combinatorics

15 pages

Scientific paper

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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