Results 21 to 30 of about 1,525 (98)
A $q$-linear analogue of the plane wave expansion [PDF]
, 2012 We obtain a $q$-linear analogue of Gegenbauer's expansion of the plane wave. It is expanded in terms of the little $q$-Gegenbauer polynomials and the \textit{third} Jackson $q$-Bessel function.
Abreu, Luís Daniel +2 more
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Dunkl generalization of Phillips operators and approximation in weighted spaces
Advances in Difference Equations, 2020 The purpose of this article is to introduce a modification of Phillips operators on the interval [ 1 2 , ∞ ) $[ \frac{1}{2},\infty ) $ via a Dunkl generalization. We further define the Stancu type generalization of these operators as S n , υ ∗ ( f ; x ) =
M. Mursaleen +3 more
doaj +1 more source
Approximation by a generalized class of Dunkl type Szász operators based on post quantum calculus
Journal of Inequalities and Applications, 2019 The main purpose of this paper is to introduce a generalized class of Dunkl type Szász operators via post quantum calculus on the interval [12,∞) $[ \frac{1}{2},\infty )$.
Abdullah Alotaibi
doaj +1 more source
On Dunkl angular momenta algebra [PDF]
, 2015 We consider the quantum angular momentum generators, deformed by means of the Dunkl operators. Together with the reflection operators they generate a subalgebra in the rational Cherednik algebra associated with a finite real reflection group. We find all
Feigin, Misha, Hakobyan, Tigran
core +2 more sources
Mixed norm estimates for the Riesz transforms associated to Dunkl harmonic oscillators [PDF]
, 2014 In this paper we study weighted mixed norm estimates for Riesz transforms associated to Dunkl harmonic oscillators. The idea is to show that the required inequalities are equivalent to certain vector valued inequalities for operator defined in terms of ...
Boggarapu, Pradeep, Thangavelu, S.
core +2 more sources
The Racah Algebra as a Subalgebra of the Bannai-Ito Algebra
, 2020 Assume that ${\mathbb F}$ is a field with $\operatorname{char}{\mathbb F}\not=2$. The Racah algebra $\Re$ is a unital associative ${\mathbb F}$-algebra defined by generators and relations.
Huang, Hau-Wen
core +1 more source
Approximation results on Dunkl generalization of Phillips operators via q-calculus
Advances in Difference Equations, 2019 The main purpose of this paper is to construct q-Phillips operators generated by Dunkl generalization. We prove several results of Korovkin type and estimate the order of convergence in terms of several moduli of continuity.
Md. Nasiruzzaman +2 more
doaj +1 more source
, 2010 We introduce the analogue of Dunkl processes in the case of an affine root system of type $\widetilde{\text{A}}_1$. The construction of the affine Dunkl process is achieved by a skew-product decomposition by means of its radial part and a jump process on
Chapon, Francois
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A Miyaoka–Yau inequality for hyperplane arrangements in CPn$\mathbb {CP}^n$
Journal of the London Mathematical Society, Volume 113, Issue 4, April 2026.Abstract Let H$\mathcal {H}$ be a hyperplane arrangement in CPn$\mathbb {CP}^n$. We define a quadratic form Q$Q$ on RH$\mathbb {R}^{\mathcal {H}}$ that is entirely determined by the intersection poset of H$\mathcal {H}$. Using the Bogomolov–Gieseker inequality for parabolic bundles, we show that if a∈RH$\mathbf {a}\in \mathbb {R}^{\mathcal {H}}$ is ...
Martin de Borbon, Dmitri Panov
wiley +1 more source
The singular and the 2:1 anisotropic Dunkl oscillators in the plane
, 2013 Two Dunkl oscillator models are considered: one singular and the other with a 2:1 frequency ratio. These models are defined by Hamiltonians which include the reflection operators in the two variables x and y.
Genest, Vincent X. +2 more
core +1 more source