84 citations · 761 across the 57 of their papers we have counts for
12 papers · 2 filters
Turán type inequalities for some Lommel functions of the first kind
Árpád Baricz, Stamatis Koumandos
In this paper certain Turán type inequalities for some Lommel functions of the first kind are deduced. The key tools in our proofs are the infinite product representation for these…
Inequalities for the one-dimensional analogous of the Coulomb potential
Árpád Baricz, Tibor K. Pogány
In this paper our aim is to present some monotonicity and convexity properties for the one dimensional regularization of the Coulomb potential, which has applications in the study…
Turán type inequalities for generalized inverse trigonometric functions
Árpád Baricz, Barkat Ali Bhayo, Matti Vuorinen
In this paper we study the inverse of the eigenfunction of the one-dimensional -Laplace operator and its dependence on the parameter , and we present a Turán type in…
The radius of convexity of normalized Bessel functions of the first kind
Árpád Baricz, Róbert Szász
In this paper we determine the radius of convexity for three kind of normalized Bessel functions of the first kind. In the mentioned cases the normalized Bessel functions are starl…
Integral representations and summations of modified Struve function
Árpád Baricz, Tibor K. Pogány
It is known that Struve function and modified Struve function are closely connected to Bessel function of the first kind and to modified Bessel fu…
On a sum of modified Bessel functions
Árpád Baricz, Tibor K. Pogány
In this paper we consider a sum of modified Bessel functions of the first kind of which particular case is used in the study of Kanter's sharp modified Bessel function bound for co…