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arXiv · 1408.6423

Close-to-convexity of normalized Dini functions

Árpad Baricz·Erhan Deniz·Nihat Yagmur
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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.

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Árpad Baricz, Erhan Deniz, Nihat Yagmur. 2014-08-27. Close-to-convexity of normalized Dini functions. https://doi.org/10.1002/mana.201500009

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