9 citations · 26 across the 9 of their papers we have counts for
9 papers
Applications of integral transforms composition method (ITCM) to wave-type singular differential equations and index shift transmutations
Ahmed Fitouhi, Inèss Jebabli, Elina L. Shishkina +1
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 tra…
On some -versions of Ramanujan master theorem
Ahmed Fitouhi, Kamel Brahim, Neji Bettaibi
In this paper, we state some -analogues of the famous Ramanujan's Master Theorem. As applications, some values of Jackson's -integrals involving -special functions are com…
On Harmonic analysis associated with the hyper-Bessel operator on the complex plane
M. S. Ben Hammouda, L. Bennasr, Ahmed Fitouhi
We investigate the harmonic analysis associated with the hyper-Bessel operator on C, and we prove the chaotic character of the related convolution operators.
-extension of Dunkl operator in one variable and Bessel functions of vector index
Ahmed Fitouhi, Lazhar Dhaouadi, Fethi Bouzeffour
In this work we present an operator constructed with the help of the cyclic group set of the roots of unity. This operator constitute an -extension of the…
Functions of q-positive type
Lazhar Dhaouadi
In this paper we characterize the subspace of of function which are the q-Bessel Fourier transform of positive functions in . As applicat…
On the Graf's addition theorem for Hahn Exton q-Bessel function
Lazhar Dhaouadi, Ahmed Fitouhi
In this paper we study the positivity of the generalized -translation associated with the -Bessel Hahn Exton function which is deduced by a new formulation of the Graf's addi…