Close‐to‐convexity of normalized Dini functions
Copyright policy )Close‐to‐convexity of normalized Dini functions
In this paper necessary and sufficient conditions are deduced for the close‐to‐convexity of some special combinations of Bessel functions of the first kind and their derivatives by using a result of Shah and Trimble about transcendental entire functions with univalent derivatives and some newly discovered Mittag–Leffler expansions for Bessel functions of the first kind.
- Erzincan University Turkey
- Department of Mathematics
- Babeș-Bolyai University Romania
- Eötvös Loránd University Hungary
- Óbuda University Hungary
starlike functions, Bessel functions of the first kind, infinite product, Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.), close to convex functions, Mathematics - Classical Analysis and ODEs, Classical Analysis and ODEs (math.CA), FOS: Mathematics, 33C10, 30C45, Bessel and Airy functions, cylinder functions, \({}_0F_1\), zeros of Bessel functions, transcendental entire functions
starlike functions, Bessel functions of the first kind, infinite product, Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.), close to convex functions, Mathematics - Classical Analysis and ODEs, Classical Analysis and ODEs (math.CA), FOS: Mathematics, 33C10, 30C45, Bessel and Airy functions, cylinder functions, \({}_0F_1\), zeros of Bessel functions, transcendental entire functions
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