Results 31 to 40 of about 302 (175)
Some remarks regarding the $(p,q)-$Fibonacci and Lucas octonion polynomials
Universal Journal of Mathematics and Applications, 2018 We investigate the $(p,q)-$Fibonacci and Lucas octonion polynomials. The main purpose of this paper is using of some properties of the $(p,q)-$ Fibonacci and Lucas polynomials. Also for present some results involving these octonion polynomials, we obtain
Arzu Özkoç Öztürk, Ayhan Porsuk
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The Fibonacci polynomials solution for Abel’s integral equation of second kind [PDF]
Iranian Journal of Numerical Analysis and Optimization, 2020 We suggest a convenient method based on the Fibonacci polynomials and the collocation points for solving approximately the Abel’s integral equation of second kind.
H. Deilami Azodi
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Generalized Fibonacci Polynomials and Fibonomial Coefficients [PDF]
Annals of Combinatorics, 2014 The focus of this paper is the study of generalized Fibonacci polynomials and Fibonomial coefficients. The former are polynomials {n} in variables s and t given by {0} = 0, {1} = 1, and {n} = s{n-1}+t{n-2} for n ge 2. The latter are defined by {n choose k} = {n}!/({k}!{n-k}!) where {n}! = {1}{2}...{n}.
Amdeberhan, Tewodros +3 more
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Some Properties of the (p,q)-Fibonacci and (p,q)-Lucas Polynomials
Journal of Applied Mathematics, 2012 Riordan arrays are useful for solving the combinatorial sums by the help of generating functions. Many theorems can be easily proved by Riordan arrays. In this paper we consider the Pascal matrix and define a new generalization of Fibonacci polynomials ...
GwangYeon Lee, Mustafa Asci
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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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A Study on Fibonacci and Lucas Bihypernomials
Discussiones Mathematicae - General Algebra and Applications, 2022 The bihyperbolic numbers are extension of hyperbolic numbers to four dimensions. In this paper we introduce and study the Fibonacci and Lucas bihypernomials, i.e., polynomials, which are a generalization of the bihyperbolic Fibonacci numbers and the ...
Szynal-Liana Anetta, Włoch Iwona
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On a generalization of the Hosoya triangle [PDF]
Notes on Number Theory and Discrete MathematicsThis paper introduces the Fibonacci polynomial triangle, inspired by the structure of the Hosoya triangle and constructed using Fibonacci polynomials.
Turhan Çifçi +2 more
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On quaternion-Gaussian Fibonacci polynomials
Miskolc Mathematical Notes, 2023 Summary: In this paper, we define Gaussian Fibonacci quaternion polynomials and Gaussian Lucas quaternion polynomials. We also investigate some properties of these quaternion polynomials.
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Fibonacci self-reciprocal polynomials and Fibonacci permutation polynomials
, 2017 20 pages, a section on self-reciprocal polynomials added, the first moment and second moment (q even) of Fibonacci polynomials ...
Fernando, Neranga, Rashid, Mohammad
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On Certain Properties of Parametric Kinds of Apostol-Type Frobenius–Euler–Fibonacci Polynomials
AxiomsThis paper presents an overview of cosine and sine Apostol-type Frobenius–Euler–Fibonacci polynomials, as well as several identities that are associated with these polynomials.
Hao Guan +3 more
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