Abstract
In this paper, the concept of q-double Riordan matrices is given by using binary operations ⁎q2 and ⁎1/q2. We give a q-analogue of the Fundamental Theorem of double Riordan matrices and study the structure of the entries of the multiplications of q-double Riordan matrices. As an application, q-analogue of the Pascal-Fibonacci array can be obtained by a q-double Riordan representation.
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