Articles
Kyungpook Mathematical Journal 2018; 58(3): 507-517
Published online September 30, 2018
Copyright © Kyungpook Mathematical Journal.
Certain Geometric Properties of an Integral Operator Involving Bessel Functions
Kuppathai Appasamy Selvakumaran*
Department of Mathematics, R. M. K College of Engineering and Technology, Puduvoyal-601206, Tamil Nadu, India
e-mail : selvaa1826@gmail.com
Róbert Szász
Sapientia Hungarian University of Transylvania, Tg. Mures, Romania
e-mail : szasz_robert2001@yahoo.com
Received: April 17, 2017; Revised: August 19, 2018; Accepted: August 27, 2018
In this article, we introduce a new integral operator involving normalized Bessel functions of the first kind and we obtain a set of sufficient conditions for univalence. Our results contain some interesting corollaries as special cases. Further, as particular cases, we improve some of the univalence conditions proved in [
Keywords: analytic functions, Bessel functions, integral operator, univalent functions.