18 citations · 79 across the 9 of their papers we have counts for
11 papers
-extended Mathieu series from the Schlömilch series point of view
Dragana Jankov Maširević, Tibor K. Pogány
Motivated by certain current results by Parmar and Pogány [9] in which the authors introduced the so-called -extended Mathieu series the main aim of this paper is to present a c…
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…
On Kapteyn-Kummer Series' Integral Form
Tibor K. Pogány, Árpád Baricz, Anikó Szakál
In this short research note we obtain double definite integral expressions for the Kapteyn type series built by Kummer's (or confluent hypergeometric ) functions. Thes…
Monotonicity properties of some Dini functions
Árpád Baricz, Tibor K. Pogány, Róbert Szász
In this note our aim is to deduce some new monotonicity properties for a special combination of Bessel functions of the first kind by using a recently developed Mittag-Leffler expa…
Van der Corput inequalities for Bessel functions
Árpád Baricz, Andrea Laforgia, Tibor K. Pogány
In this note we offer some log-concavity properties of certain functions related to Bessel functions of the first kind and modified Bessel functions of the first and second kind, b…
Universal truncation error upper bounds in sampling restoration
Andriy Olenko, Tibor K. Pogány
Universal (pointwise uniform and time shifted) truncation error upper bounds are presented for the Whittaker--Kotel'nikov--Shannon (WKS) sampling restoration sum for Bernstein func…