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arXiv:1408.6423 [math.CA]AbstractReferencesReviewsResources

Close-to-convexity of normalized Dini functions

Árpad Baricz, Erhan Deniz, Nihat Yagmur

Published 2014-08-27Version 1

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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