The radius of univalence of the reciprocal of a product of two analytic functions

Proceedings of the International Symposium on Complex Analysis and Conformal Geometry (ISCACG 2013) Editors: G. Bharali, D. Minda, S. Ponnusamy, and S. K. Saho

Univalence of integral operators involving Bessel functions

AbstractIn this note our aim is to deduce some sufficient conditions for integral operators involving Bessel functions of the first kind to be univalent in the open unit disk. The key tools in our proofs are the generalized versions of the well-known Ahlfors’ and Becker’s univalence criteria and some inequalities for the normalized Bessel functions of the first kind