Results 11 to 20 of about 142 (94)

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
doaj   +7 more sources

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 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
openaire   +4 more sources

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.
openaire   +5 more sources

SOME PROPERTIES OF BIVARIATE FIBONACCI AND LUCAS QUATERNION POLYNOMIALS [PDF]

Facta Universitatis, Series: Mathematics and Informatics, 2020
In this work, we introduce bivariate Fibonacci quaternion polynomials andbivariate Lucas quaternion polynomials. We present generating function,Binet formula, matrix representation, binomial formulas and some basicidentities for the bivariate Fibonacci and Lucas quaternion polynomialsequences.
Ozturk, Arzu Ozkoc, Kaplan, Faruk
openaire   +2 more sources

Special transforms of the generalized bivariate Fibonacci and Lucas polynomials

Hacettepe Journal of Mathematics and Statistics, 2023
This paper deals with the Catalan, Hankel, binomial transforms of the generalized bivariate Fibonacci and Lucas polynomials. Also, some useful results such as generating functions, Binet formulas, summations of transforms defined by using recurrence relations of these special polynomials are presented.
Nazmiye YILMAZ, İbrahim AKTAŞ
openaire   +5 more sources

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
doaj   +2 more sources

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.
openaire   +3 more sources

Generalized bivariate Fibonacci polynomial and two new subclasses of bi-univalent functions

Asian-European Journal of Mathematics, 2023
This paper deals with two new subclasses of holomorphic and bi-univalent functions in the open unit disk defined by generalized bivariate Fibonacci polynomials. In this paper the coefficient bounds are estimated for [Formula: see text] and [Formula: see text] which [Formula: see text] and [Formula: see text] are the Taylor–Maclaurin coefficients of the
Aktaş, İbrahim, Hamarat, Derya
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