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.
Arfat Ahmad Wani, Paula Catarino, Serpil Halici. (2019) On a Study of (s, t)-Generalized Pell Sequence and its Matrix Sequence, Punjab University Journal of Mathematics, Volume 51, Issue 9.
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