On the (s,t)(s,t)-Pell and (s,t)(s,t)-Pell–Lucas sequences and their matrix representations

In this paper, we first give new generalizations for (s,t)(s,t)-Pell {pn(s,t)}n∈N{pn(s,t)}n∈N and (s,t)(s,t)-Pell Lucas {qn(s,t)}n∈N{qn(s,t)}n∈N sequences for Pell and Pell–Lucas numbers. Considering these sequences, we define the matrix sequences which have elements of {pn(s,t)}n∈N{pn(s,t)}n∈N and {qn(s,t)}n∈N{qn(s,t)}n∈N. Then we investigate their properties.