q-Bernoulli Matrices and Their Some Properties

In this study, we define q-Bernoulli matrix B(q), q-$Bernoulli polynomial matrix B(x,q)  and generalized q-Bernoulli matrix by using q-Bernoulli numbers, and q-Bernoulli polynomials.  We obtain some properties of B(q) and B( x,q). We study the factorization q-Bernoulli polynomial matrix. Finally, we define shifted q-Bernoulli matrix.