Recurrence Relations for Strongly q-Log-Convex Polynomials
Combinatorics
2019-08-15 v1
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.
Cite
@article{arxiv.0806.3641,
title = {Recurrence Relations for Strongly q-Log-Convex Polynomials},
author = {William Y. C. Chen and Larry X. W. Wang and Arthur L. B. Yang},
journal= {arXiv preprint arXiv:0806.3641},
year = {2019}
}
Comments
15 pages