56 citations · 58 across the 6 of their papers we have counts for
4 papers · 1 filter
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…
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…