Results 101 to 110 of about 90,721 (207)

From sl_q(2) to a Parabosonic Hopf Algebra

open access: yesSymmetry, Integrability and Geometry: Methods and Applications, 2011
A Hopf algebra with four generators among which an involution (reflection) operator, is introduced. The defining relations involve commutators and anticommutators. The discrete series representations are developed.
Satoshi Tsujimoto   +2 more
doaj   +1 more source

On the orthogonality of q-classical polynomials of the Hahn class II [PDF]

open access: yesarXiv, 2011
In this article, the study of the orthogonality properties of $q$-polynomials of the Hahn class started in the initial article by R. \'Alvarez-Nodarse, R. Sevinik-Ad{\i}g\"uzel, and H. Ta\c{s}eli, \textit{On the orthogonality of $q$-classical polynomials of the Hahn class I} is proceeded.
arxiv  

A CHARACTERIZATION OF MEIXNER ORTHOGONAL POLYNOMIALS VIA A CERTAIN TRANSFERT OPERATOR

open access: yesUral Mathematical Journal
Here we consider a certain transfert operator \(\mathrm{M}_{(c,\omega)}=I_{\mathcal{P}}-c \, \tau_{\omega},\) \(\omega\neq0,\) \({c \in \mathbb{R}-\{0,1\},}\) and we prove the following statement: up to an affine transformation, the only orthogonal ...
Emna Abassi, Lotfi Khériji
doaj   +1 more source

Exceptional Hahn and Jacobi orthogonal polynomials [PDF]

open access: yesarXiv, 2015
Using Casorati determinants of Hahn polynomials $(h_n^{\alpha,\beta,N})_n$, we construct for each pair $\F=(F_1,F_2)$ of finite sets of positive integers polynomials $h_n^{\alpha,\beta,N;\F}$, $n\in \sigma _\F$, which are eigenfunctions of a second order difference operator, where $\sigma _\F$ is certain set of nonnegative integers, $\sigma _\F ...
arxiv  

Laguerre-Freud equations for Generalized Hahn polynomials of type I [PDF]

open access: yesarXiv, 2018
We derive a system of difference equations satisfied by the three-term recurrence coefficients of some families of discrete orthogonal polynomials.
arxiv  

Association of Alcohol Consumption With CD4 Recovery After Antiretroviral Therapy Initiation in St. Petersburg, Russia. [PDF]

open access: yesJ Acquir Immune Defic Syndr, 2023
McLaughlin A   +14 more
europepmc   +1 more source

Spectral Analysis of Certain Schrödinger Operators

open access: yesSymmetry, Integrability and Geometry: Methods and Applications, 2012
The J-matrix method is extended to difference and q-difference operators and is applied to several explicit differential, difference, q-difference and second order Askey-Wilson type operators.
Mourad E.H. Ismail, Erik Koelink
doaj   +1 more source

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