Close-to-convexity of normalized Dini functions

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• 作者：&Aacute ; rp&aacute ; d Baricz ; Erhan Deniz and Nihat Yağmur
• 刊名：Mathematische Nachrichten
• 出版年：2016
• 出版时间：October 2016
• 年：2016
• 卷：289
• 期：14-15
• 页码：1721-1726
• 全文大小：142K
• ISSN：1522-2616

文摘

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.