TY  - JOUR
T1  - Gaussian (𝒔, 𝒕)-Pell and Pell-Lucas Sequences and Their Matrix Representations
TT  - Gauss (𝒔, 𝒕)-Pell ve Pell-Lucas Dizileri ve Matris Gösterimleri
AU  - Karaaslan, Nusret
AU  - Yağmur, Tülay
PY  - 2019
DA  - March
Y2  - 2019
DO  - 10.17798/bitlisfen.470181
JF  - Bitlis Eren Üniversitesi Fen Bilimleri Dergisi
PB  - Bitlis Eren University
WT  - DergiPark
SN  - 2147-3129
SP  - 46
EP  - 59
VL  - 8
IS  - 1
LA  - en
AB  - In this study, we define the Gaussian (s,t)-Pell and Gaussian (s,t)-Pell-Lucas sequences. Then, by usingthese sequences we define Gaussian (s,t)-Pell and Gaussian (s,t)-Pell-Lucas matrix sequences. Thereafter,we give generating functions, Binet’s formulas and some summation formulas ofthese sequences. Finally, we obtain somerelationships between Gaussian (s,t)-Pell and Gaussian (s,t)-Pell-Lucas matrix sequences.
KW  - (s;t)-Pell sequence
KW  - Gaussian Pell sequence
KW  - (s;t)-Gaussian Pell sequence
KW  - (s;t)-Gaussian Pell matrix sequence
N2  - Buçalışmada, Gauss (s,t)-Pellve Gauss(s,t)-Pell-Lucasdizilerini tanımladık. Sonra, bu dizileri kullanarak Gauss (s,t)-Pellve Gauss (s,t)-Pell-Lucasmatris dizilerini tanımladık. Daha sonra, bu dizilerin üreteç fonksiyonlarını,Binet formüllerini ve bazı toplam formüllerini verdik. Son olarak, Gauss (s,t)-Pell ve Gauss (s,t)-Pell-Lucas matris dizileri arasında bazı ilişkileri eldeettik.
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UR  - https://doi.org/10.17798/bitlisfen.470181
L1  - https://dergipark.org.tr/en/download/article-file/668455
ER  -