Results 21 to 30 of about 32,100 (199)

Superiority of legendre polynomials to Chebyshev polynomial in solving ordinary differential equation

Journal of Applied Sciences and Environmental Management, 2006
In this paper, we proved the superiority of Legendre polynomial to Chebyshev polynomial in solving first order ordinary differential equation with rational coefficient.
FO Akinpelu, LA Adetunde, EO Omidiora
doaj   +1 more source

A fast, simple, and stable Chebyshev-Legendre transform using an asymptotic formula [PDF]

, 2013
A fast, simple, and numerically stable transform for converting between Legendre and Chebyshev coefficients of a degree $N$ polynomial in $O(N(\log N)^{2}/ \log \log N)$ operations is derived.
Hale, Nicholas, Townsend, Alex
core   +1 more source

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

Limit theorems for linear eigenvalue statistics of overlapping matrices [PDF]

, 2015
The paper proves several limit theorems for linear eigenvalue statistics of overlapping Wigner and sample covariance matrices. It is shown that the covariance of the limiting multivariate Gaussian distribution is diagonalized by choosing the Chebyshev ...
Kargin, Vladislav
core   +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

An approximation method for the solution of nonlinear integral equations [PDF]

, 2006
A Chebyshev collocation method has been presented to solve nonlinear integral equations in terms of Chebyshev polynomials. This method transforms the integral equation to a matrix equation which corresponds to a system of nonlinear algebraic equations ...
Akyuz-Dascioglu, A, Yaslan, HC
core   +3 more sources

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