Starlikeness and convexity of generalized Bessel functions

143 citations recorded by the source corpus.

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

Close-to-Convexity of Some Special Functions and Their Derivatives (2014, background): “Some of these problems have been studied later in the papers [1, 2, 3, 5, 6, 8, 19, 20], however, there are still some open problems in this direction.”
The radius of convexity of normalized Bessel functions (2015, unknown): “We refer to [1, 2, 3, 4, 5, 6, 7, 8, 9, 11, 15, 16] and to the references therein.”
Some Sufficient Conditions for Univalence of Certain Families of Integral Operators Involving Generalized Bessel Functions (2011, methodology): “Recently, Baricz and Ponnusamy [8] proved the following lemma.”
The radius of starlikeness of normalized Bessel functions of the first kind (2012, background): “Part c complements the results from [2, 5, 17, 18].”
Bounds for radii of starlikeness and convexity of some special functions (2016, background): “In the sixties Brown, Kreyszig and Todd, Wilf (see [14, 15, 16, 19, 23]) considered the univalence and starlikeness of Bessel functions of the first kind, while in the recent years the radii of univalence, starlikeness and convexity for the normalized forms of Bessel, Struve and Lommel functions of ”