Close-to-convexity of normalized Dini functions

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.

5 pages

References in corpus (2)

• Close-to-convexity of some special functions and their derivatives
• Monotonicity properties of some Dini functions

Cited by in corpus (2)

• The radius of uniform convexity of Bessel functions
• Partial sums of the normalized Dini functions