Results 11 to 20 of about 254,888 (94)

Some new results for the generalized bivariate Fibonacci and Lucas polynomials [PDF]

Mathematica Moravica
In 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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The generalized bivariate Fibonacci and Lucas matrix polynomials [PDF]

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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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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Two Families of Bi-Univalent Functions Associating the (p, q)-Derivative with Generalized Bivariate Fibonacci Polynomials

Mathematics
Making use of generalized bivariate Fibonacci polynomials, we propose two families of regular functions of the type ϕ(ζ)=ζ+∑j=2∞djζj, which are bi-univalent in the disc {ζ∈C:|ζ|
Sondekola Rudra Swamy, Basem Aref Frasin, Daniel Breaz, Luminita-Ioana Cotîrlă   +3 more
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On bivariate Fibonacci-Fubini polynomials

Filomat
Recently, Fibonacci extensions of several special polynomials, such as Fibonacci-Hermite, Fibonacci-Euler, Fibonacci-Genocchi, Fibonacci-Bernoulli, and Fibonacci-Bernstein polynomials, have been considered, and diverse of their properties and relations have been thoroughly analyzed using the content of Golden calculus.
Duran, Uğur
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Binomial transform of the bivariate Fibonacci quaternion polynomials and its properties [PDF]

Notes on Number Theory and Discrete Mathematics
The primary aim of this work is to deal with binomial transforms of bivariate Fibonacci quaternion polynomial sequence. The binomial sequence of the bivariate Fibonacci quaternion polynomial is found, and then results are obtained for the recurrence ...
Faruk Kaplan, Arzu Özkoç Öztürk
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GENERALIZED IDENTITIES OF BIVARIATE FIBONACCI AND BIVARIATE LUCAS POLYNOMIALS

Journal of Amasya University the Institute of Sciences and Technology, 2020
In this paper, we present generalized identities of bivariate Fibonacci polynomials and bivariate Lucas polynomials and related identities consisting even and odd terms. Binet’s formula will employ to obtain the identities.
Jaya Bhandari, V. K. Gupta, Yashwant Panwar   +2 more
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Bivariate Gaussian Fibonacci And Lucas Polynomials.

Ars Comb., 2013
In this study we define and study the Bivariate Gaussian Fibonacci and Bivariate Gaussian Lucas Polynomials. We give generating function, Binet formula, explicit formula and partial derivation of these polynomials. By defining these bivariate polynomials for special cases Fn(x, 1) is the Gaussian Fibonacci polynomials, Ln(x, 1) is the Gaussian Lucas ...
Aşcı, Mustafa, Gurel, E.
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Generalized Bivariate Fibonacci and Lucas Polynomials By Tridiagonal Matrices

Turkish Journal of Science
In this paper, we present certain tridiagonal matrices associated with generalized bivariate Fibonacci and Lucas polynomials and investigate the relationships between these matrices and polynomials. We show that determinants and permanents of these tridiagonal matrices are generalized bivariate Fibonacci and Lucas polynomials, which generalize known ...
Yasemin TASYURDU, Beyza AYDAN
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Coefficient Estimate and Fekete-Szeg\"{o} Problems for Certain New Subclasses of Bi-univalent Functions Defined by Generalized Bivariate Fibonacci Polynomial [PDF]

Sahand Communications in Mathematical Analysis
This article deals with two new subclasses of analytic and bi-univalent functions in the open unit disk, which is defined  by applying subordination principle between analytic functions and the generalized Bivariate Fibonacci polynomials.
Rumeysa Öztürk, İbrahim Aktaş
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