Close-to-convexity of normalized Dini functions
MATHEMATISCHE NACHRICHTEN, vol.289, pp.1721-1726, 2016 (SCI-Expanded, Scopus)
- Publication Type: Article / Article
- Volume: 289
- Publication Date: 2016
- Doi Number: 10.1002/mana.201500009
- Journal Name: MATHEMATISCHE NACHRICHTEN
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Page Numbers: pp.1721-1726
- Open Archive Collection: AVESIS Open Access Collection
- Erzincan Binali Yildirim University Affiliated: Yes
Abstract
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.