Linear Transformations Preserving the Strong $q$-log-convexity of Polynomials

[摘要] 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 transfor

[学科分类] 离散数学和组合数学

[关键词] Log-concavity;Log-convexity;$q$-Log-convexity;Strong $q$-log-convexity