A Bochner Theorem for Dunkl Polynomials [PDF]
Symmetry, Integrability and Geometry: Methods and Applications, 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.
Luc Vinet, Alexei Zhedanov
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AN ANALOGUE OF COWLING-PRICE’S THEOREM FOR THE Q-FOURIER-DUNKL TRANSFORM [PDF]
, 2020 The Q-Fourier-Dunkl transform satisfies some uncertainty principles in a similar way to the Euclidean Fourier transform. By using theheat kernel associated to the Q-Fourier-Dunkl operator, we have established an analogue of Cowling-Price, Miyachi and ...
Daher, Radouan +7 more
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Bernoulli–Dunkl and Apostol–Euler–Dunkl polynomials with applications to series involving zeros of Bessel functions [PDF]
, 2018 We introduce Bernoulli–Dunkl and Apostol–Euler–Dunkl polynomials as generalizations of Bernoulli and Apostol–Euler polynomials, where the role of the derivative is now played by the Dunkl operator on the real line.
Pérez, Mario +15 more
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Reproducing kernels for Dunkl polyharmonic polynomials [PDF]
, 1989 summary:In this paper, we compute explicitly the reproducing kernel of the space of homogeneous polynomials of degree $n$ and Dunkl polyharmonic of degree $m$, i.e.
Touahri, Kamel, Charles F. Dunkl
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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
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Hardy's theorem and rotation for Dunkl transform
, 2021 We extend Hardy's theorem for rotation due to Lakey and Hogan for Dunkl transform associated with the reflection group (Formula presented.) in (Formula presented.) by using Dunkl-Hermite semigroup.
Dogga, Venku Naidu +1 more
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Images of some functions and functional spaces under the Dunkl-Hermite semigroup [PDF]
, 1991 summary:We propose the study of some questions related to the Dunkl-Hermite semigroup. Essentially, we characterize the images of the Dunkl-Hermite-Sobolev space, $\mathcal{S}(\mathbb{R})$ and $L^p_\alpha(\mathbb{R ...
Nefzi, Walid +2 more
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Stancu Type Generalization of Dunkl Analogue of SzA sz Operators [PDF]
, 2016 In this paper, we introduce Stancu type generalization of Dunkl analogue of SzA sz operators. We obtain some direct results, which include asymptotic formula and error estimation in terms of of the modulus continuity. Also, we investigate the convergence
Karakoc, Fatih, Karaisa, Ali
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Dunkl analogue of Szász-mirakjan operators of blending type
Open Mathematics, 2018 In the present work, we construct a Dunkl generalization of the modified Szász-Mirakjan operators of integral form defined by Pǎltanea [1]. We study the approximation properties of these operators including weighted Korovkin theorem, the rate of ...
Deshwal Sheetal +2 more
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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
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