Q–analog of Determinant of a Kind of Binomial Coefficient Matrices

Maixue Liu, Zhizheng Zhang

Recently, Ratliff and Rush gave the explanation of a kind of determinant whose entries are zero and either binomial coefficients of their negative. Such work can be considered in some generalized Pascal matrices. The purpose of this paper is to establish a q–analog of the result of Ratliff and Rush. Also, a q–analogs about problem 269 in [5] are given.