Results 31 to 40 of about 916 (205)
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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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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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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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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The generalized bivariate fibonacci and lucas matrix polynomials [PDF]
, 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 ...
Yilmaz, N.
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Hyper-Fibonacci and Hyper-Lucas Polynomials [PDF]
, 2023 In this paper, hyper-Fibonacci and hyper-Lucas polynomials are defined and some of their algebraic and combinatorial properties such as the recurrence relations, summation formulas, and generating functions are presented.
Mersin, Efruz Özlem
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A different approach to Gauss Fibonacci polynomials [PDF]
In this paper with the help of higher order Fibonacci polynomials, we introduce higher order Gauss Fibonacci polynomials that generalize the Gauss Fibonacci polynomials studied by Özkan and Taştan.
Kızılateş, Can
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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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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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