Results 101 to 110 of about 90,721 (207)
From sl_q(2) to a Parabosonic Hopf Algebra
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]
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
Robust 2D and 3D images zero - watermarking using dual Hahn moment invariants and Sine Cosine Algorithm. [PDF]
Daoui A+3 more
europepmc +1 more source
A CHARACTERIZATION OF MEIXNER ORTHOGONAL POLYNOMIALS VIA A CERTAIN TRANSFERT OPERATOR
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]
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
Serially Checked Spherical Aberration Can Evaluate the Anti-Myopia Effect of Orthokeratology Lens in Children. [PDF]
Hahn IK+5 more
europepmc +1 more source
Laguerre-Freud equations for Generalized Hahn polynomials of type I [PDF]
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]
McLaughlin A+14 more
europepmc +1 more source
Spectral Analysis of Certain Schrödinger Operators
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