Results 11 to 20 of about 320 (182)
HOMFLY Polynomials of Torus Links as Generalized Fibonacci Polynomials [PDF]
The Electronic Journal of Combinatorics, 2015 The focus of this paper is to study the HOMFLY polynomial of $(2,n)$-torus link as a generalized Fibonacci polynomial. For this purpose, we first introduce a form of generalized Fibonacci and Lucas polynomials and provide their some fundamental properties.
Kemal Taskopru, Altıntaş, İsmet
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The generalized bivariate Fibonacci and Lucas matrix polynomials
Mathematica Montisnigri, 2022 The main object of the present paper is to consider the matrix polynomials for the generalized bivariate Fibonacci and Lucas polynomials. Working with matrix properties for these new matrix polynomials, some identities of the generalized bivariate Fibonacci and Lucas polynomials will be researched.
Yilmaz, N.
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Incomplete Bivariate Fibonacci and Lucas 𝑝-Polynomials [PDF]
Discrete Dynamics in Nature and Society, 2012 We define the incomplete bivariate Fibonacci and Lucas 𝑝-polynomials. In the case 𝑥=1, 𝑦=1, we obtain the incomplete Fibonacci and Lucas 𝑝-numbers. If 𝑥=2, 𝑦=1, we have the incomplete Pell and Pell-Lucas 𝑝-numbers.
Dursun Tasci +2 more
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Generalized Fibonacci Polynomials and Their Properties
SymmetryThis study presents a unified framework for the simultaneous analysis of generalized Fibonacci numbers and their associated polynomial extensions, both of which play a significant role in combinatorial analysis and discrete mathematics. The generalized Fibonacci polynomials have been extended to four new families of polynomials, each defined through ...
Sibel Koparal +5 more
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Some new results for the generalized bivariate Fibonacci and Lucas polynomials [PDF]
Mathematica MoravicaIn this paper, new identities are obtained by using the generalized bivariate Fibonacci and Lucas polynomials. Firstly, several binomial summations and the closed formulas for summation of powers are investigated for these polynomials.
Yılmaz Nazmıye
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Mathematics, 2018 This paper is concerned with representing sums of the finite products of Chebyshev polynomials of the second kind and of Fibonacci polynomials in terms of several classical orthogonal polynomials.
Taekyun Kim +3 more
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Novel Expressions for Certain Generalized Leonardo Polynomials and Their Associated Numbers
AxiomsThis article introduces new polynomials that extend the standard Leonardo numbers, generalizing Fibonacci and Lucas polynomials. A new power form representation is developed for these polynomials, which is crucial for deriving further formulas.
Waleed Mohamed Abd-Elhameed +3 more
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On Generalized Fibospinomials: Generalized Fibonacci Polynomial Spinors
SymmetrySpinors are important objects in physics, which have found their place more and more after the discovery that particles have an intrinsic angular momentum shape and Cartan’s mathematical expression of this situation. Recent studies using special number sequences have also revealed a new approach to the use of spinors in mathematics and have provided a ...
Ece Gülsah Çolak +2 more
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Generalized Pauli Fibonacci Polynomial Quaternions
AxiomsSince Hamilton proposed quaternions as a system of numbers that does not satisfy the ordinary commutative rule of multiplication, quaternion algebras have played an important role in many mathematical and physical studies.
Bahadır Yılmaz +2 more
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Binomial Identities Involving The Generalized Fibonacci Type Polynomials. [PDF]
Ars Comb., 2011 We present some binomial identities for sums of the bivariate Fibonacci polynomials and for weighted sums of the usual Fibonacci polynomials with indices in arithmetic progression.
Kilic, Emrah, Irmak, Nurettin
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