Radii of starlikeness of some special functions
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Data
2016-01-01
Autores
Baricz, �rp�d
Dimitrov, Dimitar K. [UNESP]
Orhan, Halit
Yağmur, Nihat
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Resumo
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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Palavras-chave
Lommel functions of the first kind, Radius of starlikeness, Starlike functions, Struve functions, Trigonometric integrals, Univalent, Zeros of Lommel functions of the first kind, Zeros of Struve functions
Como citar
Proceedings of the American Mathematical Society, v. 144, n. 8, p. 3355-3367, 2016.