56 citations · 57 across the 4 of their papers we have counts for
6 papers
Geometric properties of some generalized Mathieu power series inside the unit disk
Stefan Gerhold, Zivorad Tomovski, Deepak Bansal +1
We consider two parametric families of special functions: One is defined by a power series generalizing the classical Mathieu series, and the other one is a generalized Mathieu typ…
Asymptotic expansion of Mathieu power series and trigonometric Mathieu series
Stefan Gerhold, Zivorad Tomovski
We consider a generalized Mathieu series where the summands of the classical Mathieu series are multiplied by powers of a complex number. The Mellin transform of this series can be…
Generalized diffusion-wave equation with memory kernel
Trifce Sandev, Zivorad Tomovski, Johan Dubbeldam +1
We study generalized diffusion-wave equation in which the second order time derivative is replaced by integro-differential operator. It yields time fractional and distributed order…
Asymptotics of some generalized Mathieu series
Stefan Gerhold, Zivorad Tomovski
We establish asymptotic estimates of Mathieu-type series defined by sequences with power-logarithmic or factorial behavior. By taking the Mellin transform, the problem is mapped to…
On a new (p,q)-Mtahieu type power series and its applications
Khaled Mehrez, Zivorad Tomovski
Our aim in this paper, is to establish certain new integrals for the the (p,q)-Mathieu--power series. In particular, we investigate the Mellin-Barnes type integral representations…
Probability distribution built by Prabhakar function. Related Turán and Laguerre inequalities
Tibor K. Pogány, Živorad Tomovski
Introducing the discrete probability distribution by means of the Prabhakar (or the three--parameter Mittag--Leffler) function, we establish explicit expressions for raw and factor…