Radii of starlikeness of some special functions

Baricz, Árpád; Dimitrov, Dimitar; Orhan, Halit; Yağmur, Nihat

doi:10.1090/proc/13120

Radii of starlikeness of some special functions
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by Árpád Baricz, Dimitar K. Dimitrov, Halit Orhan and Nihat Yağmur PDF

Proc. Amer. Math. Soc. 144 (2016), 3355-3367 Request permission

Abstract:

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

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