Zobrazeno 1 - 10
of 16
pro vyhledávání: '"Néji Bettaibi"'
Publikováno v:
International Journal of Mathematics and Mathematical Sciences, Vol 2008 (2008)
The aim of this paper is to generalize the 𝑞-Heisenberg uncertainty principles studied by Bettaibi et al. (2007), to state local uncertainty principles for the 𝑞-Fourier-cosine, the 𝑞-Fourier-sine, and the 𝑞-Bessel-Fourier transforms, the
Externí odkaz:
https://doaj.org/article/8ee52a89c65e413ca084e45fce8f933d
Publikováno v:
The Ramanujan Journal. 50:433-458
In this paper, we state some q-analogs of the famous Ramanujan Master Theorem. As an application, we compute some values of Jackson’s q-integrals that involve q-special functions.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::fe540c12012277aae8f4fb7e75444d29
https://doi.org/10.1007/s11139-019-00141-4
https://doi.org/10.1007/s11139-019-00141-4
Autor:
Kamel Mezlini, Néji Bettaibi
Publikováno v:
Acta Mathematica Scientia. 38:1411-1426
In this paper, we present an explicit realization of q-deformed Calogero-Vasiliev algebra whose generators are first-order q-difference operators related to the generalized discrete q-Hermite I polynomials recently introduced in [14]. Furthermore, we
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::3d59c5dd98d3e9848abd0cff2d59c48c
https://doi.org/10.1016/s0252-9602(18)30822-1
https://doi.org/10.1016/s0252-9602(18)30822-1
Publikováno v:
Analele Universitatii "Ovidius" Constanta - Seria Matematica. 24:289-307
In this paper, we consider the Weinstein intertwining operator ℜa, d W and its dual tR a,d W. Using these operators, we give relations between the Weinstein and the classical continuous wavelet transforms. Finally, using the Weinstein continuous wa
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::d578436b4a1ea9efada17203d0fc8d43
https://doi.org/10.1515/auom-2016-0016
https://doi.org/10.1515/auom-2016-0016
Publikováno v:
Acta Mathematica Scientia. 32:1851-1874
In this paper, a new formulation of the Rubin's q-translation is given, which leads to a reliable q-harmonic analysis. Next, related q-positive definite functions are introduced and studied, and a Bochner's theorem is proved.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::a10f73bb353817bedce33726e7f8587e
https://doi.org/10.1016/s0252-9602(12)60145-3
https://doi.org/10.1016/s0252-9602(12)60145-3
Publikováno v:
The Ramanujan Journal. 18:171-182
The aim of this paper is to prove an uncertainty principle for the basic Bessel transform of order \(\alpha \geq -\frac{1}{2}\) . In order to obtain a sharp uncertainty principle, we introduce and study a generalized q-Bessel-Dunkl transform which is
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::5d209ab48ff9bbeaab5f8a7bd2caec4e
https://doi.org/10.1007/s11139-007-9117-6
https://doi.org/10.1007/s11139-007-9117-6
Autor:
Jamel El Kamel, Néji Bettaibi
Publikováno v:
Applied Mathematics and Computation. 198:433-444
Using the q-Mellin transform studied in [A. Fitouhi, N. Bettaibi, K. Brahim, The Mellin transform in quantum calculus, Constructive Approximation 23 (3) (2006) 305–323], we provide an asymptotic expansion for a class of q-integral transforms having
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::a12fffcc3e103ef6ff728c14ec91555e
https://doi.org/10.1016/j.amc.2007.08.052
https://doi.org/10.1016/j.amc.2007.08.052
Publikováno v:
Applied Mathematics and Computation. 198:346-354
In this paper, we give a generalization of Hardy’s theorem for a class of symmetric transforms in both classical and Quantum calculus. As applications, we give q-analogues of Hardy’s theorem for the q-Fourier-cosine, q-Bessel Fourier and q-Dunkl
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::5f5f177d8cbe9c35d93c26da0a7f9079
https://doi.org/10.1016/j.amc.2007.08.040
https://doi.org/10.1016/j.amc.2007.08.040
Autor:
Néji Bettaibi, Ahmed Fitouhi
Publikováno v:
Journal of Mathematical Analysis and Applications. 328:518-534
In this paper, we study in quantum calculus the correspondence between poles of the q -Mellin transform (see [A. Fitouhi, N. Bettaibi, K. Brahim, The Mellin transform in Quantum Calculus, Constr. Approx. 23 (3) (2006) 305–323]) and the asymptotic b
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e6b3d06b93e8eed3f4c1d439a61c466d
https://doi.org/10.1016/j.jmaa.2006.05.051
https://doi.org/10.1016/j.jmaa.2006.05.051
Publikováno v:
Constructive Approximation. 23:305-323
A q-analogue of the Mellin transform is introduced by using a standard method of q-calculus involving the q-Jackson integral. In this paper, we study some of its properties coinciding with the corresponding classical ones when q tends to 1. In additi
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::d0834279fcb783b79948ea89c13f24b3
https://doi.org/10.1007/s00365-005-0597-6
https://doi.org/10.1007/s00365-005-0597-6