Results 11 to 20 of about 124,064 (205)

Incomplete q-Chebyshev polynomials

Filomat, 2018
In this paper, we get the generating functions of the q-Chebyshev polynomials using ?z operator, which is ?z (f(z))= f(qz) for any given function f (z). Also considering explicit formulas of the q-Chebyshev polynomials, we give new generalizations of the q-Chebyshev polynomials called the incomplete q-Chebyshev polynomials of the first and ...
Cetin, Mirac, Ercan, Elif, TUĞLU, NAİM
core   +6 more sources

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
core   +6 more sources

On orthogonal polynomials and related discrete integrable systems [PDF]

, 2006
Orthogonal polynomials arise in many areas of mathematics and have been the subject of interest by many mathematicians. In recent years this interest has often arisen from outside the orthogonal polynomial community after their connection with ...
Spicer, Paul Edward
core   +7 more sources

A numerical method for the computation of faber polynomials for starlike domains [PDF]

, 1991
We describe a simple numerical process (based on the Theodorsen method for conformal mapping ) for computing approximations to Faber polynomials for starlike ...
Soares, M J, Stylianopoulos, N S, Papamichael, N   +2 more
core   +6 more sources

PARSEC.py: A Python-Based Real-Space Kohn-Sham Density Functional Theory Code Accelerated by Machine Learned Charge Density. [PDF]

J Comput Chem
PARSEC.py is a Python‐based real‐space Kohn–Sham DFT framework that leverages the Python scientific ecosystem for transparent, modular integration of machine‐learned densities and GPU acceleration. This unified design enables more efficient and scalable first‐principles simulations of large chemical and materials systems. ABSTRACT PARSEC.py is a Python‐
Zhang Z, Perez CM, Kwon P, Head-Gordon M, Qian J.   +4 more
europepmc   +2 more sources

Neoteric formulas of the monic orthogonal Chebyshev polynomials of the sixth-kind involving moments and linearization formulas

Advances in Difference Equations, 2021
The principal aim of the current article is to establish new formulas of Chebyshev polynomials of the sixth-kind. Two different approaches are followed to derive new connection formulas between these polynomials and some other orthogonal polynomials. The
Waleed M. Abd-Elhameed, Youssri H. Youssri   +1 more
doaj   +1 more source

Novel Expressions for the Derivatives of Sixth Kind Chebyshev Polynomials: Spectral Solution of the Non-Linear One-Dimensional Burgers’ Equation

Fractal and Fractional, 2021
This paper is concerned with establishing novel expressions that express the derivative of any order of the orthogonal polynomials, namely, Chebyshev polynomials of the sixth kind in terms of Chebyshev polynomials themselves.
Waleed Mohamed Abd-Elhameed
doaj   +1 more source

GENERATING FUNCTIONS OF THE PRODUCT OF 2-ORTHOGONAL CHEBYSHEV POLYNOMIALS WITH SOME NUMBERS AND THE OTHER CHEBYSHEV POLYNOMIALS

Проблемы анализа, 2020
In this paper, we give the generating functions of binary product between 2-orthogonal Chebyshev polynomials and kFibonacci, k-Pell, k-Jacobsthal numbers and the other orthogonal Chebyshev polynomials.
H. Merzouk, B. Aloui, A. Boussayoud
doaj   +1 more source

Chebyshev Collocation Method for the Fractional Fredholm Integro-Differential Equations

Journal of New Theory, 2023
In this study, Chebyshev polynomials have been applied to construct an approximation method to attain the solutions of the linear fractional Fredholm integro-differential equations (IDEs).
Dilek Varol
doaj   +1 more source

Numerical Treatment of Multi-Term Fractional Differential Equations via New Kind of Generalized Chebyshev Polynomials

Fractal and Fractional, 2023
The main aim of this paper is to introduce a new class of orthogonal polynomials that generalizes the class of Chebyshev polynomials of the first kind. Some basic properties of the generalized Chebyshev polynomials and their shifted ones are established.
Waleed Mohamed Abd-Elhameed, Muhammad Mahmoud Alsuyuti   +1 more
doaj   +1 more source