Results 51 to 60 of about 128,771 (226)

A Spectral Method Based on Hahn Polynomials for Numerical Solution of Fractional Integro-Differential Equations with Weakly Singular Kernel

پژوهش‌های ریاضی, 2020
Introduction Despite wide applications of constant order fractional derivatives, some systems require the use of derivatives whose order changes with respect to other parameters.
Farideh Salehi, Habibollah Saeedi, Mahmoud Mohseni Moghadam   +2 more
doaj  

Semi-classical Laguerre polynomials and a third order discrete integrable equation

, 2009
A semi-discrete Lax pair formed from the differential system and recurrence relation for semi-classical orthogonal polynomials, leads to a discrete integrable equation for a specific semi-classical orthogonal polynomial weight. The main example we use is
Christoffel E B, Darboux G, Forrester P J Witte N S, Forrester P J Witte N S, Frank W Nijhoff, Freud G, Grammaticos B, Laguerre E, Laguerre E, Laguerre E, Lax P D, Magnus A P, Paul E Spicer   +12 more
core   +3 more sources

Image analysis using new set of separable two-dimensional discrete orthogonal moments based on Racah polynomials

EURASIP Journal on Image and Video Processing, 2017
In this paper, we propose three new separable two-dimensional discrete orthogonal moments baptized: RTM (Racah-Tchebichef moments), RKM (Racah-Krawtchouk moments), and RdHM (Racah-dual Hahn moments).
Imad Batioua, Rachid Benouini, K. Zenkouar, H. E. Fadili   +3 more
semanticscholar   +1 more source

Higher analogues of the discrete-time Toda equation and the quotient-difference algorithm

, 2011
The discrete-time Toda equation arises as a universal equation for the relevant Hankel determinants associated with one-variable orthogonal polynomials through the mechanism of adjacency, which amounts to the inclusion of shifted weight functions in the ...
Bareiss E H, Bressoud D, Brezinski C, Brezinski C, Brezinski C, Brezinski C, Chihara T S, Draux A, Erdelyi A, Frank W Nijhoff, Henrici P, Kowalewski G, Krichever I M, Krichever I M, Lomont J S, Malaschonok G I, Malaschonok G I, Muir T, Paul E Spicer, Peter H van der Kamp, Spicer P E, Suetin P K, Toda M, van der Kamp P H, van der Kamp P H, Veselov A P, Viallet C   +26 more
core   +1 more source

Discrete semi-classical orthogonal polynomials of class one on quadratic lattices

Journal of difference equations and applications (Print), 2018
We study orthogonal polynomials on quadratic lattices with respect to Stieltjes functions, S, that satisfy a difference equation where A is a polynomial of degree less or equal than 3 and C is a polynomial of degree greater or equal than 1 and less or ...
G. Filipuk, M. N. Rebocho
semanticscholar   +1 more source

Discrete Fourier Analysis and Chebyshev Polynomials with G2 Group

Symmetry, Integrability and Geometry: Methods and Applications, 2012
The discrete Fourier analysis on the 30°-60°-90° triangle is deduced from the corresponding results on the regular hexagon by considering functions invariant under the group G2, which leads to the definition of four families generalized Chebyshev ...
Huiyuan Li, Jiachang Sun, Yuan Xu
doaj   +1 more source

Laguerre-Freud equations for Generalized Hahn polynomials of type I

, 2018
We derive a system of difference equations satisfied by the three-term recurrence coefficients of some families of discrete orthogonal ...
Dominici, Diego
core   +1 more source

Expressions of Legendre polynomials through Bernoulli polynomials

Revista Técnica de la Facultad de Ingeniería, 2011
A formula for expanding Legendre polynomials in Bernoulli polynomials is considered. The relationship is established by using a formula of finite summation, obtained by applying the discrete orthogonal relation of the modified Lommel polynomials.
Vu Kim Tuan, Nguyen Thi Tinh
doaj  

The Fractional Orthogonal Derivative

Mathematics, 2015
This paper builds on the notion of the so-called orthogonal derivative, where an n-th order derivative is approximated by an integral involving an orthogonal polynomial of degree n.
Enno Diekema
doaj   +1 more source

A discrete orthogonal polynomials approach for fractional optimal control problems with time delay [PDF]

Iranian Journal of Numerical Analysis and Optimization, 2019
An efficient direct and numerical method has been proposed to approximate a solution of time-delay fractional optimal control problems. First, a class of discrete orthogonal polynomials, called Hahn polynomials, has been introduced and their properties ...
F. Mohammadi
doaj   +1 more source