Results 31 to 40 of about 2,343 (153)

Multiple Meixner Polynomials on a Non-Uniform Lattice

open access: yesMathematics, 2020
We consider two families of type II multiple orthogonal polynomials. Each family has orthogonality conditions with respect to a discrete vector measure.
Jorge Arvesú   +1 more
doaj   +1 more source

Sobolev Orthogonal Polynomials Generated by Meixner Polynomials

open access: yesIzvestiya of Saratov University. New Series. Series: Mathematics. Mechanics. Informatics, 2016
Summary: The problem of constructing Sobolev orthogonal polynomials \(m_{r,n}^{\alpha}(x,q)\) \((n=0,1,\ldots)\), generated by classical Meixner's polynomials is considered. They can by defined using the following equalities \(m_{r,k}^{\alpha}(x,q)=\frac{x^{[k]}}{k!}\), \(x^{[k]}=x(x-1)\cdots (x-k+1)\), \(k=0,1,\ldots,r-1\), \(m_{r,k+r}^{\alpha}(x,q ...
Sharapudinov, I. I., Gadzhieva, Z. D.
openaire   +2 more sources

Linear differential equations for families of polynomials

open access: yesJournal of Inequalities and Applications, 2016
In this paper, we present linear differential equations for the generating functions of the Poisson-Charlier, actuarial, and Meixner polynomials. Also, we give an application for each case.
Taekyun Kim   +3 more
doaj   +1 more source

Generalized Meixner-Pollaczek polynomials

open access: yesAdvances in Difference Equations, 2013
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kanas, Stanislawa, Tatarczak, Anna
openaire   +2 more sources

Discrete Quantum Mechanics [PDF]

open access: yes, 2011
A comprehensive review of the discrete quantum mechanics with the pure imaginary shifts and the real shifts is presented in parallel with the corresponding results in the ordinary quantum mechanics.
Odake, Satoru, Sasaki, Ryu
core   +3 more sources

A New Separable Moments Based on Tchebichef-Krawtchouk Polynomials

open access: yesIEEE Access, 2020
Orthogonal moments are beneficial tools for analyzing and representing images and objects. Different hybrid forms, which are first and second levels of combination, have been created from the Tchebichef and Krawtchouk polynomials.
Zinah N. Idan   +2 more
doaj   +1 more source

An algebraic interpretation of the q-Meixner polynomials [PDF]

open access: yesThe Ramanujan Journal, 2017
19 pages Added AMS classification numbers, a few references and thanks for useful comments on 1st ...
Gaboriaud, Julien, Vinet, Luc
openaire   +3 more sources

Difference Equations for Generalized Meixner Polynomials

open access: yesJournal of Mathematical Analysis and Applications, 1994
The paper, dedicated to Richard Askey, deals with the solution to the problem posed by Askey and Erice (1990). He suggested to define generalized Meixner polynomials by adding a point mass at zero to the classical discrete weight function and then obtaining difference equations satisfied by these polynomials which might turn out to be of finite order ...
Bavinck, H., Vanhaeringen, H.
openaire   +1 more source

New connection formulae for some q-orthogonal polynomials in q-Askey scheme [PDF]

open access: yes, 2007
New nonlinear connection formulae of the q-orthogonal polynomials, such continuous q-Laguerre, continuous big q-Hermite, q-Meixner-Pollaczek and q-Gegenbauer polynomials, in terms of their respective classical analogues are obtained using a special ...
A Yanallah   +7 more
core   +3 more sources

APPROXIMATIVE PROPERTIES OF FOURIER-MEIXNER SUMS

open access: yesПроблемы анализа, 2018
We consider the problem of approximation of discrete functions f = f(x) defined on the set Ω_δ = {0, δ, 2δ, . . .}, where δ =1/N, N > 0, using the Fourier sums in the modified Meixner polynomials M_(α;n,N)(x) = M(α;n)(Nx) (n = 0, 1, . . .), which for α >
Gadzhimirzaev R. M.
doaj   +1 more source

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