In this paper, we give a sufficient condition for the linear transformation preserving the strong $q$-log-convexity. As applications, we get some linear transformations (for instance, Morgan-Voyce transformation, binomial transformation, Narayana transformations of two kinds) preserving the strong $q$-log-convexity. In addition, our results not only extend some known results, but also imply the strong $q$-log-convexities of some sequences of polynomials.
@article{10_37236_5168,
author = {Bao-Xuan Zhu and Hua Sun},
title = {Linear transformations preserving the strong \(q\)-log-convexity of polynomials},
journal = {The electronic journal of combinatorics},
year = {2015},
volume = {22},
number = {3},
doi = {10.37236/5168},
zbl = {1323.05019},
url = {http://geodesic.mathdoc.fr/articles/10.37236/5168/}
}
TY - JOUR
AU - Bao-Xuan Zhu
AU - Hua Sun
TI - Linear transformations preserving the strong \(q\)-log-convexity of polynomials
JO - The electronic journal of combinatorics
PY - 2015
VL - 22
IS - 3
UR - http://geodesic.mathdoc.fr/articles/10.37236/5168/
DO - 10.37236/5168
ID - 10_37236_5168
ER -
%0 Journal Article
%A Bao-Xuan Zhu
%A Hua Sun
%T Linear transformations preserving the strong \(q\)-log-convexity of polynomials
%J The electronic journal of combinatorics
%D 2015
%V 22
%N 3
%U http://geodesic.mathdoc.fr/articles/10.37236/5168/
%R 10.37236/5168
%F 10_37236_5168
Bao-Xuan Zhu; Hua Sun. Linear transformations preserving the strong \(q\)-log-convexity of polynomials. The electronic journal of combinatorics, Tome 22 (2015) no. 3. doi: 10.37236/5168
