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Communications in Algebra Volume 47, 2019 - Issue 10
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Original Articles

Generalized Lucas polynomials and relationships between the Fibonacci polynomials and Lucas polynomials

Engin ÖzkanDepartment of Mathematics, Faculty of Arts and Sciences, Erzincan University, Erzincan, Turkey; Correspondence[email protected]
&
İpek AltunGraduate School of Natural and Applied Sciences, Erzincan University, Erzincan, Turkey
Pages 4020-4030 | Received 05 Apr 2018, Accepted 15 Jan 2019, Published online: 06 Apr 2019

Citations (18)

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Anetta Szynal-Liana & Iwona Włoch. (2020) Introduction to Fibonacci and Lucas hybrinomials. Complex Variables and Elliptic Equations 65:10, pages 1736-1747.
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Articles from other publishers (17)

Bahar Kuloğlu & Engin Özkan. (2024) Hyperbolic functions obtained from $${\varvec{k}}$$-Pell sequences. Afrika Matematika 35:1.
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Waleed Mohamed Abd-Elhameed & Anna Napoli. (2024) New formulas of convolved Pell polynomials. AIMS Mathematics 9:1, pages 565-593.
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E. Özkan & M. Uysal. (2023) d-Gaussian Fibonacci, d-Gaussian Lucas Polynomials, and their Matrix Representations. Ukrainian Mathematical Journal 75:4, pages 562-585.
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Engin Ozkan & Hakan Akkus. (2023) On K-Chebsyhev Sequence. WSEAS TRANSACTIONS ON MATHEMATICS 22, pages 503-507.
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Efruz Özlem MERSİN. (2023) Hyper-Fibonacci and Hyper-Lucas Polynomials. Turkish Journal of Mathematics and Computer Science 15:1, pages 63-70.
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E. Özkan & M. Uysal. (2023) -Gaussian Fibonacci, -Gaussian Lucas polynomials and their matrix representations . Ukrains’kyi Matematychnyi Zhurnal 75:4, pages 491-510.
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Yüksel Soykan. (2023) Generalized Tribonacci Polynomials. Earthline Journal of Mathematical Sciences, pages 1-120.
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Waleed Mohamed Abd-Elhameed & Anna Napoli. (2023) Some Novel Formulas of Lucas Polynomials via Different Approaches. Symmetry 15:1, pages 185.
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Adem Şahіn. (2022) Triangular numbers and generalized fibonacci polynomial. Mathematica Slovaca 72:6, pages 1463-1470.
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Bahar Kuloğlu & Engin Özkan. (2022) Hyperbolic functions obtained from k-Jacobsthal sequences. Asian-European Journal of Mathematics 15:09.
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Engin Özkan & Tuğba Alp. (2022) BıGaussian Pell and Pell-Lucas polynomials. Mathematica Montisnigri 53, pages 17-25.
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Ferhat Kürüz, Ali Dağdeviren & Paula Catarino. (2021) On Leonardo Pisano Hybrinomials. Mathematics 9:22, pages 2923.
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Engin Özkan, Nur Şeyma Yilmaz & Andrzej Włoch. (2021) On $$F_3(k,n)$$-numbers of the Fibonacci type. Boletín de la Sociedad Matemática Mexicana 27:3.
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BAHAR KULOĞLUENGİN ÖZKAN. (2021) ON GENERALIZED (k, r) – GAUSS PELL NUMBERS. Journal of Science and Arts 21:3, pages 617-624.
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Urszula Bednarz & Małgorzata Wołowiec-Musiał. (2021) Distance Fibonacci Polynomials—Part II. Symmetry 13:9, pages 1723.
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Engi̇n Özkan & Bahar Kuloğlu. (2020) On the new Narayana polynomials, the Gauss Narayana numbers and their polynomials. Asian-European Journal of Mathematics 14:06, pages 2150100.
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Ahmet ÖTELEŞ & Diyar Omar Mustafa ZANGANA. (2020) Lucas Sayılarıyla İlişkili İki Parçalı GraflarBipartite Graphs Associated with Lucas Numbers. Erzincan Üniversitesi Fen Bilimleri Enstitüsü Dergisi 13:3, pages 1069-1076.
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