Results 11 to 20 of about 916 (205)
On the derivatives of bivariate Fibonacci polynomials [PDF]
Notes on Number Theory and Discrete Mathematics, 2018 In this study, the new algebraic properties related to bivariate Fibonacci polynomials has been given. We present the partial derivatives of these polynomials in the form of convolution of bivariate Fibonacci polynomials. Also, we define a new recurrence relation for the r-th partial derivative sequence of bivariate Fibonacci polynomials.
KARADUMAN, Erdal, Cakmak, Tuba
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Generating Functions of the Products of Bivariate Complex Fibonacci Polynomials with Gaussian Numbers and Polynomials [PDF]
Discussiones Mathematicae - General Algebra and Applications, 2020 In this paper, we define and study the bivariate complex Fibonacci and Lucas polynomials. We introduce a operator in order to derive some new symmetric properties of bivariate complex Fibonacci and bivariate complex Lucas polynomials, and give the ...
Boughaba Souhila +2 more
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2-Fibonacci polynomials in the family of Fibonacci numbers [PDF]
Notes on Number Theory and Discrete Mathematics, 2018 In the present study, we define new 2-Fibonacci polynomials by using terms of a new family of Fibonacci numbers given in [4]. We show that there is a relationship between the coefficient of the 2-Fibonacci polynomials and Pascal's triangle. We give some identities of the 2-Fibonacci polynomials.
Ozkan, Engin +2 more
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On quaternion-Gaussian Fibonacci polynomials [PDF]
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.
Yağmur, Tülay
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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.
Taskopru, Kemal, Altintas, Ismet
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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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Some identities involving Chebyshev polynomials, Fibonacci polynomials and their derivatives [PDF]
Notes on Number Theory and Discrete Mathematics, 2023 In this paper, we will derive the explicit formulae for Chebyshev polynomials of the third and fourth kind with odd and even indices using the combinatorial method. Similar results are also deduced for their rᵗʰ derivatives.
Jugal Kishore, Vipin Verma
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On the roots of Fibonacci polynomials
Filomat, 2022 In this paper, we investigate Fibonacci polynomials as complex hyperbolic functions. We examine the roots of these polynomials. Also, we give some exciting identities about images of the roots of Fibonacci polynomials under another member of the Fibonacci polynomials class.
Birol, Furkan, Koruoğlu, Özden
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Apostol Bernoulli-Fibonacci Polynomials, Apostol Euler-Fibonacci Polynomials and Their Generating Functions [PDF]
, 2023 In this article, the Apostol Bernoulli-Fibonacci polynomials are defined and various properties of Apostol Bernoulli-Fibonacci polynomials are obtained. Furthermore, Apostol Euler-Fibonacci numbers and polynomials are found. In addition, harmonic-based F
Naim TUGLU +3 more
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A new hybrid generalization of Fibonacci and Fibonacci-Narayana polynomials [PDF]
, 2023 The hybrid numbers are generalization of complex, hyperbolic and dual numbers. The hybrinomials are polynomials which generalize hybrid numbers. In this paper, we introduce and study the distance Fibonacci hybrinomials, i.e.
Bród, Dorota, Szynal-Liana, Anetta
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