Results 71 to 80 of about 254,888 (94)

On Generalized Bivariate (p,q)-Bernoulli–Fibonacci Polynomials and Generalized Bivariate (p,q)-Bernoulli–Lucas Polynomials

Symmetry, 2023
Many properties of special polynomials, such as recurrence relations, sum formulas, and symmetric properties, have been studied in the literature with the help of generating functions and their functional equations. In this paper, we define the generalized (p,q)-Bernoulli–Fibonacci and generalized (p,q)-Bernoulli–Lucas polynomials and numbers by using ...
Waseem Ahmad Khan, Can Kizilateş, Hao Guan   +2 more
exaly   +4 more sources

Special Transforms of the Generalized Bivariate Fibonacci and Lucas Polynomials [PDF]

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, Ibrahim Aktas
exaly   +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.
Arzu Özkoç Öztürk, Faruk Kaplan
exaly   +4 more sources

On Some New Subclasses of Bi-Univalent Functions Defined by Generalized Bivariate Fibonacci Polynomial [PDF]

Afrika Matematika, 2022
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Nazmiye Yilmaz, Ibrahim Aktas
exaly   +4 more sources

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ON SUMS OF BIVARIATE FIBONACCI POLYNOMIALS AND BIVARIATE LUCAS POLYNOMIALS

South East Asian J. of Mathematics and Mathematical Sciences, 2022
In this paper, we present the sum of s+1 consecutive member of Bivariate Fibonacci Polynomials and Bivariate Lucas Polynomials and related identities consisting even and odd terms. We present its two cross two matrix and find interesting properties such as nth power of the matrix.
Panwar, Yashwant K., Mansuri, Akhlak, Bhandari, Jaya   +2 more
openaire   +2 more sources

Generating Functions of Modified Pell Numbers and Bivariate Complex Fibonacci Polynomials [PDF]

Turkish Journal of Analysis and Number Theory, 2019
In this paper, we introduce a operator in order to derive a new generating functions of modified k- Pell numbers, Gaussian modified Pell numbers. By making use of the operator defined in this paper, we give some new generating functions for Bivariate Complex Fibonacci and Lucas Polynomials, modified Pell Polynomials and Gaussian modified Pell ...
Ali Boussayoud, Souhila Boughaba, Khadidja Boubellouta   +2 more
exaly   +2 more sources

A New Family of Generating Functions of Binary Products of Bivariate Complex Fibonacci Polynomials and Gaussian Numbers

Tbilisi Mathematical Journal, 2021
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ali Boussayoud, Kasi Viswanadh V Kanuri, Souhila Boughaba   +2 more
exaly   +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
Ibrahim Aktas
exaly   +2 more sources

The Generalized Binomial Transform of the Bivariate Fibonacci and Lucas p-Polynomials

Mathematical Sciences and Applications E-Notes
The generalized binomial transforms of the bivariate Fibonacci $p-$polynomials and Lucas $p-$polynomials are introduced in this study. Furthermore, the generating functions of these polynomials are provided. Moreover, some relations are found for them. All results obtained are reduced to the $k-$binomial, falling binomial, rising binomial, and binomial
Yasemin Alp
exaly   +3 more sources

An Investigation of the Bivariate Complex Fibonacci Polynomials Supported in Didactic Engineering: An Application of Theory of Didactics Situations (TSD)

Acta Scientiae, 2019
A research cut will be presented in the Academic Master of the Programa de Pós-Graduação em Ensino de Ciências e Matemática (PGECM) of the Instituto Federal de Educação, Ciência e Tecnologia do Ceará (IFCE). This research used Didactic Engineering with a focus on the Theory of Didactic Situations, evidencing epistemological, cognitive and didactic ...
Rannyelly Rodrigues de Oliveira, Francisco Regis Alves   +1 more
exaly   +3 more sources