Radii of starlikeness of some special functions

Abstract

Geometric properties of the classical Lommel and Struve functions, both of the first kind, are studied. For each of them, there different normalizations are applied in such a way that the resulting functions are analytic in the unit disc of the complex plane. For each of the six functions we determine the radius of starlikeness precisely.

9 pages

References in corpus (2)

• Turán type inequalities for some Lommel functions of the first kind
• Close-to-convexity of some special functions and their derivatives

Cited by in corpus (3)

• Bounds for radii of starlikeness of some $q$-Bessel functions
• ${\mathcal{S}}^{\ast }(\varphi )$ and $\mathcal{C}(\varphi )$-radii for some special functions
• Geometric and monotonic properties of hyper-Bessel functions