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arXiv · 1406.3732

Radii of starlikeness of some special functions

Árpád Baricz·Dimitar K. Dimitrov·Halit Orhan·Nihat Yagmur
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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.

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Árpád Baricz, Dimitar K. Dimitrov, Halit Orhan, Nihat Yagmur. 2014-06-14. Radii of starlikeness of some special functions. https://doi.org/10.1090/proc/13120

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