Abstract
First of all in this article, we consider (s, t)-type sequences such
as (s, t)-Pell sequence hPn (s, t)i, (s, t)-Pell-Lucas sequence hQn (s, t)i
and (s, t)-Modified Pell sequence hRn (s, t)i. Also we consider (s, t)-
type matrix sequences such as(s, t)-Pell matrix sequence hUn (s, t)i, (s, t)-
Pell-Lucas matrix sequence hVn (s, t)i and (s, t)-Modified Pell matrix sequence hWn (s, t)i. Then we introduce (s, t)-generalized Pell sequence
hTn (s, t)i and its matrix sequence named (s, t)-generalized Pell matrix
sequence hXn (s, t)i. But the main aim here to present many new results
for (s, t)-generalized Pell sequence and (s, t)-generalized Pell matrix sequence and study the relations for (s, t)-generalized Pell sequence and
(s, t)-generalized Pell matrix sequence with other (s, t)-type sequences
and (s, t)-type matrix sequences. In addition to this we also define matrix
sequences to (s, t)-type matrix sequences.