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## trenGaussian (s,t)-Pell and Pell-Lucas Sequences and Their Matrix RepresentationsGaussian (s,t)-Pell and Gaussian (s,t)-Pell-Lucas Sequences and Their Matrix Representations

#### Nusret KARAASLAN [1] , Tülay YAĞMUR [2]

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Bu çalışmada, Gauss (s,t)-Pell ve Gauss﻿(s,t)-Pell-Lucas dizilerini tanımladık. Sonra, bu dizileri kullanarak Gauss (s,t)-Pell ve Gauss (s,t)-Pell-Lucas matris 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 elde ettik.

In this study, we define the Gaussian (s,t)-Pell and Gaussian (s,t)-Pell-Lucas sequences. Then, by using these 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 of these sequences. Finally, we obtain some  relationships between Gaussian (s,t)-Pell and Gaussian (s,t)-Pell-Lucas matrix sequences.

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Primary Language en Science Araştırma Makalesi Author: Nusret KARAASLAN (Primary Author)Institution: Aksaray University, Sabire Yazıcı Faculty of Science and Letters, Department of MathematicsCountry: Turkey Author: Tülay YAĞMURInstitution: Aksaray University, Sabire Yazıcı Faculty of Science and Letters, Department of MathematicsCountry: Turkey
 Bibtex @research article { bitlisfen470181, journal = {Bitlis Eren Üniversitesi Fen Bilimleri Dergisi}, issn = {2147-3129}, eissn = {2147-3188}, address = {Bitlis Eren University}, year = {2019}, volume = {8}, pages = {46 - 59}, doi = {10.17798/bitlisfen.470181}, title = {Gaussian (s,t)-Pell and Gaussian (s,t)-Pell-Lucas Sequences and Their Matrix Representations}, key = {cite}, author = {KARAASLAN, Nusret and YAĞMUR, Tülay} } APA KARAASLAN, N , YAĞMUR, T . (2019). Gaussian (s,t)-Pell and Gaussian (s,t)-Pell-Lucas Sequences and Their Matrix Representations. Bitlis Eren Üniversitesi Fen Bilimleri Dergisi, 8 (1), 46-59. DOI: 10.17798/bitlisfen.470181 MLA KARAASLAN, N , YAĞMUR, T . "Gaussian (s,t)-Pell and Gaussian (s,t)-Pell-Lucas Sequences and Their Matrix Representations". Bitlis Eren Üniversitesi Fen Bilimleri Dergisi 8 (2019): 46-59 Chicago KARAASLAN, N , YAĞMUR, T . "Gaussian (s,t)-Pell and Gaussian (s,t)-Pell-Lucas Sequences and Their Matrix Representations". Bitlis Eren Üniversitesi Fen Bilimleri Dergisi 8 (2019): 46-59 RIS TY - JOUR T1 - Gaussian (s,t)-Pell and Gaussian (s,t)-Pell-Lucas Sequences and Their Matrix Representations AU - Nusret KARAASLAN , Tülay YAĞMUR Y1 - 2019 PY - 2019 N1 - doi: 10.17798/bitlisfen.470181 DO - 10.17798/bitlisfen.470181 T2 - Bitlis Eren Üniversitesi Fen Bilimleri Dergisi JF - Journal JO - JOR SP - 46 EP - 59 VL - 8 IS - 1 SN - 2147-3129-2147-3188 M3 - doi: 10.17798/bitlisfen.470181 UR - https://doi.org/10.17798/bitlisfen.470181 Y2 - 2019 ER - EndNote %0 Bitlis Eren Üniversitesi Fen Bilimleri Dergisi Gaussian (s,t)-Pell and Gaussian (s,t)-Pell-Lucas Sequences and Their Matrix Representations %A Nusret KARAASLAN , Tülay YAĞMUR %T Gaussian (s,t)-Pell and Gaussian (s,t)-Pell-Lucas Sequences and Their Matrix Representations %D 2019 %J Bitlis Eren Üniversitesi Fen Bilimleri Dergisi %P 2147-3129-2147-3188 %V 8 %N 1 %R doi: 10.17798/bitlisfen.470181 %U 10.17798/bitlisfen.470181 ISNAD KARAASLAN, Nusret , YAĞMUR, Tülay . "Gaussian (s,t)-Pell and Gaussian (s,t)-Pell-Lucas Sequences and Their Matrix Representations". Bitlis Eren Üniversitesi Fen Bilimleri Dergisi 8 / 1 (March 2019): 46-59. https://doi.org/10.17798/bitlisfen.470181