Geodesic
Recurrence Relations for Strongly q-Log-Convex Polynomials
Canadian mathematical bulletin, Tome 54 (2011) no. 2, pp. 217-229

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DOI

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.
DOI : 10.4153/CMB-2011-008-5
Mots-clés : 05A20, 05E99, log-concavity, q-log-convexity, strong, q-log-convexity, Bell polynomials, Bessel polynomials, Ramanujan polynomials, Dowling polynomials 
Chen, William Y. C.; Wang, Larry X. W.; Yang, Arthur L. B. Recurrence Relations for Strongly q-Log-Convex Polynomials. Canadian mathematical bulletin, Tome 54 (2011) no. 2, pp. 217-229. doi: 10.4153/CMB-2011-008-5
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     author = {Chen, William Y. C. and Wang, Larry X. W. and Yang, Arthur L. B.},
     title = {Recurrence {Relations} for {Strongly} {q-Log-Convex} {Polynomials}},
     journal = {Canadian mathematical bulletin},
     pages = {217--229},
     year = {2011},
     volume = {54},
     number = {2},
     doi = {10.4153/CMB-2011-008-5},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2011-008-5/}
}
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