72 citations · 345 across the 28 of their papers we have counts for
4 papers · 2 filters
Functional inequalities for Fox-Wright functions
Khaled Mehrez, Sergei M. Sitnik
In this paper, our aim is to show some mean value inequalities for the Fox-Wright functions, such as Turán--type inequalities, Lazarević and Wilker--type inequalities. As applicati…
The general form of the Euler--Poisson--Darboux equation and application of transmutation method
Elina L. Shishkina, Sergei M. Sitnik
In the paper we find solution representations in the compact integral form to the Cauchy problem for a general form of the Euler--Poisson--Darboux equation with Bessel operators vi…
On fractional powers of the Bessel operator on a semiaxis
S. M. Sitnik, E. L. Shishkina
In this paper we study fractional powers of the Bessel differential operator defined on a semiaxis. Some important properties of such fractional powers of the Bessel differential o…
A short survey of recent results on Buschman-Erdelyi transmutations
S. M. Sitnik
This paper was published in the special issue of the Journal of Inequalities and Special Functions dedicated to Professor Ivan Dimovski's contributions to different fields of mathe…