TY  - JOUR
T1  - The Properties of Binomial Transforms for Modified (s,t)-Pell Matrix Sequence
TT  - The Properties of Binomial Transforms for Modified $(s,t)$-Pell Matrix Sequence
AU  - Uygun, Şükran
AU  - Haklıdır, Ozan
PY  - 2024
DA  - September
Y2  - 2024
DO  - 10.33434/cams.1524027
JF  - Communications in Advanced Mathematical Sciences
PB  - Emrah Evren KARA
WT  - DergiPark
SN  - 2651-4001
SP  - 168
EP  - 177
VL  - 7
IS  - 3
LA  - en
AB  - In this study, we investigate a generalization of the modified Pell sequence, which is called $(s,t)$-modified Pell sequence. By considering this sequence, we define the matrix sequence whose elements are $(s,t)$-modified Pell numbers. Furthermore, we define various binomial transforms for modified $ (s,t)$-Pell matrix sequence. Finally, we give some relationships for $(s,t)$-modified Pell matrix sequences such as Binet formulas, the generating functions, and some sum formulas.
KW  - Binet formula
KW  - Binomial transforms
KW  - Generating function
KW  - Modified (s
KW  - t)-Pell sequence
N2  - In this study, we investigate a generalization of the modified Pell sequence, which is called $(s,t)$-modified Pell sequence. By considering this sequence, we define the matrix sequence whose elements are $(s,t)$-modified Pell numbers. Furthermore, we define various binomial transforms for modified $ (s,t)$-Pell matrix sequence. Finally, we give some relationships for $(s,t)$-modified Pell matrix sequences such as Binet formulas, the generating functions, and some sum formulas.
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UR  - https://doi.org/10.33434/cams.1524027
L1  - https://dergipark.org.tr/en/download/article-file/4105059
ER  -