84 citations · 761 across the 57 of their papers we have counts for
15 papers · 2 filters
The radius of -convexity of normalized Bessel functions of the first kind
Árpád Baricz, Halit Orhan, Róbert Szász
The radii of -convexity are deduced for three different kind of normalized Bessel functions of the first kind and it is shown that these radii are between the radii of starliken…
Starlikeness of a cross-product of Bessel functions
Huda A. Al-Kharsani, Árpád Baricz, Tibor K. Pogány
In this paper a necessary and sufficient condition is deduced for the close-to-convexity of a cross product of Bessel and modified Bessel functions of the first kind and their deri…
Radii of convexity of some Lommel and Struve functions
Árpád Baricz, Nihat Yağmur
The radii of convexity of some Lommel and Struve functions of the first kind are determined. For both of Lommel and Struve functions three different normalizations are applied in s…
Starlikeness of Bessel functions and their derivatives
Árpád Baricz, Murat Çağlar, Erhan Deniz
In this paper necessary and sufficient conditions are deduced for the starlikeness of Bessel functions of the first kind and their derivatives of the second and third order by usin…
Turán type inequalities for confluent hypergeometric functions of the second kind
Árpád Baricz, Saminathan Ponnusamy, Sanjeev Singh
In this paper we deduce some tight Turán type inequalities for Tricomi confluent hypergeometric functions of the second kind, which in some cases improve the existing results in th…
Close-to-convexity of normalized Dini functions
Árpad Baricz, Erhan Deniz, Nihat Yagmur
In this paper necessary and sufficient conditions are deduced for the close-to-convexity of some special combinations of Bessel functions of the first kind and their derivatives by…