Results 21 to 30 of about 1,869 (181)

Resultants of Chebyshev Polynomials

Zeitschrift für Analysis und ihre Anwendungen, 2008
Recently, K. Dillcher and K. B. Stolarsky [ Trans. Amer. Math. Soc. 357 (2004), 965–981] used algebraic methods to evaluate the resultant of two linear combinations of Chebyshev polynomials of the second kind.
Jemal Gishe, Mourad E. H. Ismail
openaire   +4 more sources

Some results for sums of products of Chebyshev and Legendre polynomials

Advances in Difference Equations, 2019
In this paper, we perform a further investigation of the Gegenbauer polynomials, the Chebyshev polynomials of the first and second kinds and the Legendre polynomials.
Yuan He
doaj   +1 more source

Coefficient bounds for certain subclasses of bi-prestarlike functions associated with the Chebyshev polynomials [PDF]

Mathematica Moravica, 2020
In this paper, we introduce and investigate a new subclass of bi-prestarlike functions defined in the open unit disk, associated with Chebyshev Polynomials.
Güney H.Ö., Murugusundaramoorthy G., Vijaya K., Thilagavathi K.   +3 more
doaj   +1 more source

Shifted Chebyshev operational matrices to solve the fractional time-delay diffusion equation

Partial Differential Equations in Applied Mathematics, 2023
In this paper, Chebyshev operational matrices collocation technique is proposed for solution of variable order derivative within the fractional time-delay diffusion equation.
Adnan K. Farhood, Osama H. Mohammed
doaj   +1 more source

Representing Sums of Finite Products of Chebyshev Polynomials of the First Kind and Lucas Polynomials by Chebyshev Polynomials

Mathematics, 2018
In this paper, we study sums of finite products of Chebyshev polynomials of the first kind and Lucas polynomials and represent each of them in terms of Chebyshev polynomials of all kinds.
Taekyun Kim, Dae San Kim, Dmitry V. Dolgy, Jongkyum Kwon   +3 more
doaj   +1 more source

On the Generalized Gaussian Fibonacci Numbers and Horadam Hybrid Numbers: A Unified Approach

Axioms, 2022
In this paper, we consider an approach based on the elementary matrix theory. In other words, we take into account the generalized Gaussian Fibonacci numbers. In this context, we consider a general tridiagonal matrix family.
Fatih Yılmaz, Mustafa Özkan
doaj   +1 more source

Studies in Sums of Finite Products of the Second, Third, and Fourth Kind Chebyshev Polynomials

Mathematics, 2020
In this paper, we consider three sums of finite products of Chebyshev polynomials of two different kinds, namely sums of finite products of the second and third kind Chebyshev polynomials, those of the second and fourth kind Chebyshev polynomials, and ...
Taekyun Kim, Dae San Kim, Hyunseok Lee, Jongkyum Kwon   +3 more
doaj   +1 more source

Least Squares Method For Solving Integral Equations With Multiple Time Lags [PDF]

Engineering and Technology Journal, 2010
The main purpose of this work is to propose an approximate method to solveintegral equation with multiple time lags (IEMTL) namely least squares methodwith aid of Chebyshev polynomials of (first, second, third, and fourth)kinds.Example is given as an ...
Suha N. Shehab, Hayat Adel Ali, Hala Mohammed Yaseen   +2 more
doaj   +1 more source

Symmetrized Chebyshev polynomials [PDF]

Proceedings of the American Mathematical Society, 2004
We define a class of multivariate Laurent polynomials closely related to Chebyshev polynomials and prove the simple but somewhat surprising (in view of the fact that the signs of the coefficients of the Chebyshev polynomials themselves alternate) result that their coefficients are non-negative. As a corollary we find that
openaire   +2 more sources

On the Connection Coefficients of the Chebyshev-Boubaker Polynomials

The Scientific World Journal, 2013
The Chebyshev-Boubaker polynomials are the orthogonal polynomials whose coefficient arrays are defined by ordinary Riordan arrays. Examples include the Chebyshev polynomials of the second kind and the Boubaker polynomials.
Paul Barry
doaj   +1 more source