Results 31 to 40 of about 2,343 (153)
Multiple Meixner Polynomials on a Non-Uniform Lattice
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
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Sobolev Orthogonal Polynomials Generated by Meixner Polynomials
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.
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Linear differential equations for families of polynomials
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
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Generalized Meixner-Pollaczek polynomials
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kanas, Stanislawa, Tatarczak, Anna
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Discrete Quantum Mechanics [PDF]
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
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A New Separable Moments Based on Tchebichef-Krawtchouk Polynomials
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
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An algebraic interpretation of the q-Meixner polynomials [PDF]
19 pages Added AMS classification numbers, a few references and thanks for useful comments on 1st ...
Gaboriaud, Julien, Vinet, Luc
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Difference Equations for Generalized Meixner Polynomials
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.
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New connection formulae for some q-orthogonal polynomials in q-Askey scheme [PDF]
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
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APPROXIMATIVE PROPERTIES OF FOURIER-MEIXNER SUMS
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.
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