Recurrence Relations for the Linear Transformation Preserving the Strong $q$-Log-Convexity

Electronic Journal Of Combinatorics

Lily Li Liu¹ 

关键词: Strong $q$-log-convexity;    Linear transformations;    Recurrence relation;    Stirling numbers;    Whitney numbers;   

DOI  :  

学科分类：离散数学和组合数学

来源: Electronic Journal Of Combinatorics

【 摘 要 】

Let $[T(n,k)]_{n,k\geqslant0}$ be a triangle of positive numbers satisfying the three-term recurrence relation\[T(n,k)=(a_1n+a_2k+a_3)T(n-1,k)+(b_1n+b_2k+b_3)T(n-1,k-1).\]In this paper, we give a new sufficient condition for linear transformations\[Z_n(q)

【 授权许可】

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