Radii of starlikeness of some special functions

Radii of starlikeness of some special functions

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 determi...

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Veröffentlicht in:Proceedings of the American Mathematical Society 2016-08, Vol.144 (8), p.3355-3367
Hauptverfasser: Baricz, Árpád, Dimitrov, Dimitar K., Orhan, Halit, Yağmur, Nihat
Format: Artikel
Sprache:eng
Schlagworte:
B. ANALYSIS
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Zusammenfassung: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.
ISSN:0002-9939
1088-6826
DOI:10.1090/proc/13120