Results 1 to 10 of about 999 (56)

Deficiency indices of block Jacobi matrices and Miura transformation

open access: yesSpecial Matrices, 2022
We study the infinite Jacobi block matrices under the discrete Miura-type transformations which relate matrix Volterra and Toda lattice systems to each other and the situations when the deficiency indices of the corresponding operators are the same.
Osipov Andrey
doaj   +1 more source

Explicit Chebyshev Petrov–Galerkin scheme for time-fractional fourth-order uniform Euler–Bernoulli pinned–pinned beam equation

open access: yesNonlinear Engineering, 2023
In this research, a compact combination of Chebyshev polynomials is created and used as a spatial basis for the time fractional fourth-order Euler–Bernoulli pinned–pinned beam.
Moustafa Mohamed   +2 more
doaj   +1 more source

Orthogonal polynomials for exponential weights x2α(1 – x2)2ρe–2Q(x) on [0, 1)

open access: yesOpen Mathematics, 2020
Let Wα,ρ = xα(1 – x2)ρe–Q(x), where α > –12$\begin{array}{} \displaystyle \frac12 \end{array}$ and Q is continuous and increasing on [0, 1), with limit ∞ at 1.
Liu Rong
doaj   +1 more source

On the Strong Ratio Limit Property for Discrete-Time Birth-Death Processes [PDF]

open access: yes, 2018
A sufficient condition is obtained for a discrete-time birth-death process to possess the strong ratio limit property, directly in terms of the one-step transition probabilities of the process.
van Doorn, Erik A.
core   +10 more sources

Determining radii of meromorphy via orthogonal polynomials on the unit circle [PDF]

open access: yes, 2003
19 pages, no figures.-- MSC2000 codes: 30E10, 42C05, 41A20, 30D30.MR#: MR2016676 (2004k:30087)Zbl#: Zbl 1051.30033Using a convergence theorem for Fourier–Padé approximants constructed from orthogonal polynomials on the unit circle, we prove an analogue ...
Barrios, Dolores   +2 more
core   +2 more sources

Relations between the orthogonal matrix polynomials on [a, b], Dyukarev-Stieltjes parameters, and Schur complements

open access: yesSpecial Matrices, 2017
We obtain explicit interrelations between new Dyukarev-Stieltjes matrix parameters and orthogonal matrix polynomials on a finite interval [a, b], as well as the Schur complements of the block Hankel matrices constructed through the moments of the ...
Choque-Rivero A.E.
doaj   +1 more source

On polar Legendre polynomials [PDF]

open access: yes, 2010
10 pages, no figures.-- MSC2000 codes: Primary 42C05; Secondary 33C25.-- ArXiv pre-print available at: http://arxiv.org/abs/0709.4537Accepted in Rocky Mountain Journal of Mathematics.We introduce a new class of polynomials {Pn}, that we call polar ...
Bello, José Y.   +2 more
core   +3 more sources

A Bochner Theorem for Dunkl Polynomials [PDF]

open access: yes, 2011
We establish an analogue of the Bochner theorem for first order operators of Dunkl type, that is we classify all such operators having polynomial solutions.
Vinet, Luc, Zhedanov, Alexei
core   +3 more sources

On the existence of complex Hadamard submatrices of the Fourier matrices

open access: yesDemonstratio Mathematica, 2019
We use a theorem of Lam and Leung to prove that a submatrix of a Fourier matrix cannot be Hadamard for particular cases when the dimension of the submatrix does not divide the dimension of the Fourier matrix.
Bond Bailey Madison   +2 more
doaj   +1 more source

Recurrence Coefficients of a New Generalization of the Meixner Polynomials [PDF]

open access: yes, 2011
We investigate new generalizations of the Meixner polynomials on the lattice $\mathbb{N}$, on the shifted lattice $\mathbb{N}+1-\beta$ and on the bi-lattice $\mathbb{N}\cup (\mathbb{N}+1-\beta)$. We show that the coefficients of the three-term recurrence
Filipuk, Galina, Van Assche, Walter
core   +4 more sources

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