No abstract

Using a certain combinatorial interpretation in terms of set partition, a q-analogue of generalized translated Whitney numbers of the second kind is defined in this paper. Some properties such as the recurrence relation, explicit formula, and certain symmetric formula are obtained. Moreover, a q-analogue of generalized translated Whitney numbers of the first kind is introduced to obtain a q-analogue of the orthogonality and inverse relations of the two kinds of generalized translated Whitney numbers.