Zobrazeno 1 - 10
of 98
pro vyhledávání: '"FITOUHI, AHMED"'
Publikováno v:
Electronic Journal of Differential Equations (EJDE), Vol. 2018 (2018), No. 130, pp. 1-27
In the paper we study applications of integral transforms composition method (ITCM) for obtaining transmutations via integral transforms. It is possible to derive wide range of transmutation operators by this method. Classical integral transforms are
Externí odkaz:
http://arxiv.org/abs/1805.06925
In this paper, we state some $q$-analogues of the famous Ramanujan's Master Theorem. As applications, some values of Jackson's $q$-integrals involving $q$-special functions are computed.
Comment: 16 pages
Comment: 16 pages
Externí odkaz:
http://arxiv.org/abs/1702.08440
We investigate the harmonic analysis associated with the hyper-Bessel operator on C, and we prove the chaotic character of the related convolution operators.
Comment: Submitted for publication to The Ramanujan Journal
Comment: Submitted for publication to The Ramanujan Journal
Externí odkaz:
http://arxiv.org/abs/1406.0137
In this work we present an operator $D_\mu$ constructed with the help of the cyclic group set of the $r^{{\small th}}$ roots of unity. This operator constitute an $r$-extension of the Dunkl operator in one variable because when $r=2$ it reduces to th
Externí odkaz:
http://arxiv.org/abs/1209.5277
Autor:
Dhaouadi, Lazhar, Fitouhi, Ahmed
In this paper we study the positivity of the generalized $q$-translation associated with the $q$-Bessel Hahn Exton function which is deduced by a new formulation of the Graf's addition formula related to this function.
Externí odkaz:
http://arxiv.org/abs/0707.1745
This paper aims to study the q-analogue of the Sturm Liouville problem and to give an asymptotic behaviour at infinity for its solution '. Additionally, we establish an asymptotic expansion of the q-Bessel function $j_\alpha$ for $\alpha >-{1/2}. We
Externí odkaz:
http://arxiv.org/abs/math-ph/0608015
This paper aims to study the $q$-wavelet and the $q$-wavelet transforms, associated with the $q$-Bessel operator for a fixed $q\in ]0, 1[$. As an application, an inversion formulas of the $q$-Riemann-Liouville and $q$-Weyl transforms using $q$-wavele
Externí odkaz:
http://arxiv.org/abs/math/0603036
Some properties of the $q$-Fourier-sine transform are studied and $q$-analogues of the Heisenberg uncertainty principle is derived for the $q$-Fourier-cosine transform studied in \cite{FB} and for the $q$-Fourier-sine transform.
Comment: 11 page
Comment: 11 page
Externí odkaz:
http://arxiv.org/abs/math/0602658
Publikováno v:
In Acta Mathematica Scientia July 2018 38(4):1393-1410
Publikováno v:
In Journal of Mathematical Analysis and Applications 15 May 2017 449(2):1797-1849