In this paper, we introduce (p, q)-Chebyshev polynomials of the first and second kind that reduces the (p, q)-Fibonacci and the (p, q)-Lucas polynomials. These polynomials have explicit forms and generating functions are given. Then, derivative properties between these first and second kind polynomials, determinant representations, multilateral and multilinear generating functions are derived. © 2019 by the authors
Some new formulas related to the well-known symmetric Lucas polynomials are the primary focus of thi...
Two problems related to orthogonal polynomials and special functions are considered. For q greater t...
In this paper, we derive Fourier series expansions for functions related to sums of finite products ...
In this paper, we introduce ( p , q ) ⁻Chebyshev polynomials of the first and second ki...
It is shown that some q analogues of the Fibonacci and Lucas polynomials lead to q analogues of th...
We study the relationship of the Chebyshev polynomials, Fibonacci polynomials, and their rth derivat...
Abstract The main purpose of this paper is by using the definitions and properties of Chebyshev poly...
In this overview paper a direct approach to q Chebyshev polynomials and their elementary properties ...
In this paper, several families of multilinear and multilateral generating functions for Fibonacci a...
In this overview paper a direct approach to q Chebyshev polynomials and their elementary properties ...
In this article, we discuss the Chebyshev Polynomial and its characteristics. The second order diffe...
In this article, we discuss the Chebyshev Polynomial and its characteristics. The second order diffe...
AbstractWe consider a generalization of the Chebyshev polynomials of the second kind. These polynomi...
Odd powers of even-indexed Chebyshev polynomials of the second kind and odd powers of odd-indexed Ch...
In this paper, we get the generating functions of the q-Chebyshev polynomials using eta(z) operator,...
Some new formulas related to the well-known symmetric Lucas polynomials are the primary focus of thi...
Two problems related to orthogonal polynomials and special functions are considered. For q greater t...
In this paper, we derive Fourier series expansions for functions related to sums of finite products ...
In this paper, we introduce ( p , q ) ⁻Chebyshev polynomials of the first and second ki...
It is shown that some q analogues of the Fibonacci and Lucas polynomials lead to q analogues of th...
We study the relationship of the Chebyshev polynomials, Fibonacci polynomials, and their rth derivat...
Abstract The main purpose of this paper is by using the definitions and properties of Chebyshev poly...
In this overview paper a direct approach to q Chebyshev polynomials and their elementary properties ...
In this paper, several families of multilinear and multilateral generating functions for Fibonacci a...
In this overview paper a direct approach to q Chebyshev polynomials and their elementary properties ...
In this article, we discuss the Chebyshev Polynomial and its characteristics. The second order diffe...
In this article, we discuss the Chebyshev Polynomial and its characteristics. The second order diffe...
AbstractWe consider a generalization of the Chebyshev polynomials of the second kind. These polynomi...
Odd powers of even-indexed Chebyshev polynomials of the second kind and odd powers of odd-indexed Ch...
In this paper, we get the generating functions of the q-Chebyshev polynomials using eta(z) operator,...
Some new formulas related to the well-known symmetric Lucas polynomials are the primary focus of thi...
Two problems related to orthogonal polynomials and special functions are considered. For q greater t...
In this paper, we derive Fourier series expansions for functions related to sums of finite products ...
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