Árpád Baricz, Murat Çağlar, Erhan Deniz
Published 2014-10-03Version 1
In this paper necessary and sufficient conditions are deduced for the starlikeness of Bessel functions of the first kind and their derivatives of the second and third order by using a result of Shah and Trimble about transcendental entire functions with univalent derivatives and some Mittag-Leffler expansions for the derivatives of Bessel functions of the first kind, as well as some results on the zeros of these functions.
Close-to-convexity of normalized Dini functions
High-order derivatives of the Bessel functions with an application
Asymptotic relation for zeros of cross-product of Bessel functions and applications
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