Results 31 to 40 of about 168 (113)
Approximation results on Dunkl generalization of Phillips operators via q-calculus
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
Hankel transform, K-Bessel functions and zeta distributions in the Dunkl setting [PDF]
We study analytic aspects of the Dunkl-type Hankel transform, which goes back to Baker and Forrester and, in an earlier symmetrized version, to Macdonald.
Brennecken, Dominik
core +1 more source
Characterization of q-Dunkl Appell symmetric orthogonal q-polynomials [PDF]
We introduce a q-Dunkl operator T(θ,q)≔Hq+θH−1 where Hq is the q-derivative one and we determine all symmetric T(θ,q)-Appell classical orthogonal q-polynomials.
Tounsi, M. Ihsen +5 more
core +1 more source
Changing Gender Relations in Canada: The Rise of Gender‐Neutral Forenames
ABSTRACT Historically, gender‐neutral or androgynous first names have been relatively rare, showing little sign of upward or downward temporal trend in Canada or elsewhere. Using digitized birth registration records from three provinces (Alberta, British Columbia, and Ontario) and for all of Canada, we highlight a rise, beginning around 1990, in the ...
Neil Guppy, Kamila Kolpashnikova
wiley +1 more source
q-Analogue of the Dunkl Transform on the Real Line [PDF]
[[abstract]]In this paper, we consider a q-analogue of the Dunkl operator on R, we dene and study its associated Fourier transform which is a q- analogue of the Dunkl transform.
Rym Bettaieb, Neji Bettaibi
core
Dirac Operators for the Dunkl Angular Momentum Algebra [PDF]
We define a family of Dirac operators for the Dunkl angular momentum algebra depending on certain central elements of the group algebra of the Pin cover of the Weyl group inherent to the rational Cherednik algebra.
De Martino, Marcelo, Calvert, Kieran
core
A Miyaoka–Yau inequality for hyperplane arrangements in CPn$\mathbb {CP}^n$
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
ABSTRACT The early Cambrian transgression that flooded continental margins worldwide produced extensive sedimentary records that archive valuable information about palaeogeography and basin dynamics. This study integrates detrital zircon U–Pb geochronology and wholerock geochemistry from the Myeonsan and Myobong formations of the basal Taebaek Group ...
Hyojong Lee +2 more
wiley +1 more source
Dunkl positive denite functions [PDF]
[[abstract]]We introduce the notion of Dunkl positive definite and strictly positive definite functions on R^d. This done by the use of the properties of Dunkl translation. We establish the analogue of Bochner's theorem in Dunkl setting.
Khaled Mehrezz, Jamel El Kamel
core
Approximation and Orthogonality on Fully Symmetric Domains
ABSTRACT We study orthogonal polynomials on a fully symmetric planar domain Ω$\Omega$ that is generated by a certain triangle in the first quadrant. For a family of weight functions on Ω$\Omega$, we show that orthogonal polynomials that are even in the second variable on Ω$\Omega$ can be identified with orthogonal polynomials on the unit disk composed ...
Yuan Xu
wiley +1 more source

