Search Results - Fibonacci and Lucas numbers and polynomials and generalizations

Representations of Lie algebras, quantum groups, and related topics : AMS Special Session, Representations of Lie Algebras, Quantum Groups, and Related Topics, November 12-13, 2016, North Carolina State University, Raleigh, North Carolina by Jing, Naihuan, Misra, Kailash C., Special Session on Representations of Lie Algebras, Quantum Groups and Related Topics

“…This volume contains the proceedings of the AMS Special Session on Representations of Lie Algebras, Quantum Groups and Related Topics, held from November…”
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On k-Jacobsthal and k-Jacobsthal-Lucas hybrid numbers by Kilic, Nayil

“…In this paper, we consider the k-Jacobsthal and k-Jacobsthal-Lucas hybrid numbers…”
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An alternative approach to Cigler’s q-Lucas polynomials by Belbachir, Hacène, Benmezai, Athmane

“… This allows some new generalizations of classical identities related to Fibonacci and Lucas numbers…”
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Introduction to Fibonacci and Lucas hybrinomials by Szynal-Liana, Anetta, Włoch, Iwona

“… polynomials, which are a generalization of the Fibonacci hybrid numbers and the Lucas hybrid numbers, respectively…”
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A Study on Fibonacci and Lucas Bihypernomials by Szynal-Liana, Anetta, Włoch, Iwona

“…, polynomials, which are a generalization of the bihyperbolic Fibonacci numbers and the bihyperbolic Lucas numbers, respectively…”
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A common generalization of convolved generalized Fibonacci and Lucas polynomials and its applications by Ye, Xiaoli, Zhang, Zhizheng

“…The purpose of this paper is to give a common generalization of convolved generalized Fibonacci and Lucas polynomials and some recurrence relations are established…”
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Catalan Identities for Generalized Fibonacci Polynomials by Diaz Noguera, Maribel, Flórez, Rigoberto, Ramírez, José L., Rojas, Martha Romero

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On Gaussian Leonardo Hybrid Polynomials by Yaǧmur, Tülay

“… We give some new results for the Gaussian Leonardo numbers, including relations with the Gaussian Fibonacci and Gaussian Lucas numbers, and also give some new results for the Gaussian Leonardo hybrid…”
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The generalized k-Fibonacci polynomials and generalized k-Lucas polynomials by Taştan, Merve, Özkan, Engin, Shannon, Anthony G.

“…In this paper, we define new families of Generalized Fibonacci polynomials and Generalized Lucas polynomials and develop some elegant properties of these families…”
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Certain unified polynomials by Choi, Junesang, Khan, Nabiullah, Usman, Talha, Aman, Mohd

“…We aim to introduce certain unified polynomials which can be specialized to yield a number of known polynomials and numbers, for example, Pell polynomials and numbers, Fibonacci polynomials…”
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Distance Fibonacci Polynomials—Part II by Bednarz, Urszula, Wołowiec-Musiał, Małgorzata

“…In this paper we use a graph interpretation of distance Fibonacci polynomials to get a new generalization of Lucas polynomials in the distance sense…”
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A common generalization of Dickson polynomials, Fibonacci polynomials, and Lucas polynomials and applications by Zriaa, Said, Mouçouf, Mohammed

“…\), the Lucas polynomials of order \(2\), the classical Fibonacci polynomials, the classical Lucas polynomials, the Fibonacci numbers, the Lucas numbers, the Dickson polynomials of the first kind, and the Dickson polynomials of the second kind…”
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Some fundamental Fibonacci number congruences by Shannon, Anthony G., He, Tian-Xiao, Shiue, Peter J.-S., Huang, Shen C.

“…This paper investigates a number of congruence properties related to the coefficients of a generalized Fibonacci polynomial…”
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A generalization of André-Jeannin’s symmetric identity by Munarini, Emanuele

“… = + with arbitrary coefficients. Then, we specialize such an identity to several -polynomials of combinatorial interest, such as the -Fibonacci, -Lucas, -Pell, -Jacobsthal…”
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An alternative approach to Cigleras q-Lucas polynomials by Belbachir, HacA"ne, Benmezai, Athmane

“… This allows some new generalizations of classical identities related to Fibonacci and Lucas numbers…”
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A note on the coefficient array of a generalized Fibonacci polynomial by Shannon, A. G., Deveci, Ömür

“…A particular version of a Fibonacci polynomial is presented and the coefficients are tabulated to bring out some of their number theory properties with known results…”
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A Note on Generalized k-Order F L Hybrinomials by Süleyman Aydınyüz, Gül Karadeniz Gözeri

“…In this study, we introduce generalized k-order Fibonacci and Lucas (F&L) polynomials that allow the derivation of well-known polynomial and integer sequences…”
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Rhaly terraced sequences their generalizations, properties and applications by Shannon, Anthony G., Kuloğlu, Bahar, Özkan, Engin

“…This paper links terraced matrices with other well-known integer sequences, such as the Hankel matrices and related Fibonacci and Lucas matrices…”
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THE BIVARIATE (COMPLEX) FIBONACCI AND LUCAS POLYNOMIALS: AN HISTORICAL INVESTIGATION WITH THE MAPLÉS HELP by Alves, Francisco Regis Vieira, Catarino, Paula Maria Machado Cruz

“…) and the Bivariate Fibonacci Polynomials (BFP). On the other hand, since it's representation requires enormous employment of a large algebraic notational system, we explore some particular properties in order…”
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New Identities and Equation Solutions Involving k-Oresme and k-Oresme–Lucas Sequences by Demirtürk, Bahar

“…Number sequences are among the research areas of interest in both number theory and linear algebra…”
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