Výsledky vyhľadávania - 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 Autor 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…”
Získať plný text

On k-Jacobsthal and k-Jacobsthal-Lucas hybrid numbers Autor Kilic, Nayil

“…In this paper, we consider the k-Jacobsthal and k-Jacobsthal-Lucas hybrid numbers…”
Získať plný text

An alternative approach to Cigler’s q-Lucas polynomials Autor Belbachir, Hacène, Benmezai, Athmane

“… This allows some new generalizations of classical identities related to Fibonacci and Lucas numbers…”
Získať plný text

Introduction to Fibonacci and Lucas hybrinomials Autor Szynal-Liana, Anetta, Włoch, Iwona

“… polynomials, which are a generalization of the Fibonacci hybrid numbers and the Lucas hybrid numbers, respectively…”
Získať plný text

A Study on Fibonacci and Lucas Bihypernomials Autor Szynal-Liana, Anetta, Włoch, Iwona

“…, polynomials, which are a generalization of the bihyperbolic Fibonacci numbers and the bihyperbolic Lucas numbers, respectively…”
Získať plný text

A common generalization of convolved generalized Fibonacci and Lucas polynomials and its applications Autor 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…”
Získať plný text

Catalan Identities for Generalized Fibonacci Polynomials Autor Diaz Noguera, Maribel, Flórez, Rigoberto, Ramírez, José L., Rojas, Martha Romero

Získať plný text

On Gaussian Leonardo Hybrid Polynomials Autor 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…”
Získať plný text

The generalized k-Fibonacci polynomials and generalized k-Lucas polynomials Autor 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…”
Získať plný text

Certain unified polynomials Autor 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…”
Získať plný text

Distance Fibonacci Polynomials—Part II Autor 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…”
Získať plný text

A common generalization of Dickson polynomials, Fibonacci polynomials, and Lucas polynomials and applications Autor 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…”
Získať plný text

Some fundamental Fibonacci number congruences Autor 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…”
Získať plný text

A generalization of André-Jeannin’s symmetric identity Autor Munarini, Emanuele

“… = + with arbitrary coefficients. Then, we specialize such an identity to several -polynomials of combinatorial interest, such as the -Fibonacci, -Lucas, -Pell, -Jacobsthal…”
Získať plný text

An alternative approach to Cigleras q-Lucas polynomials Autor Belbachir, HacA"ne, Benmezai, Athmane

“… This allows some new generalizations of classical identities related to Fibonacci and Lucas numbers…”
Získať plný text

A note on the coefficient array of a generalized Fibonacci polynomial Autor 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…”
Získať plný text

A Note on Generalized k-Order F L Hybrinomials Autor 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…”
Získať plný text

Rhaly terraced sequences their generalizations, properties and applications Autor 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…”
Získať plný text

THE BIVARIATE (COMPLEX) FIBONACCI AND LUCAS POLYNOMIALS: AN HISTORICAL INVESTIGATION WITH THE MAPLÉS HELP Autor 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…”
Získať plný text

New Identities and Equation Solutions Involving k-Oresme and k-Oresme–Lucas Sequences Autor Demirtürk, Bahar

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