Subclasses of uniformly convex and starlike functions associated with Bessel functions

Abstract

In recent years, applications of Bessel differential equations have been commonly used in univalent functionstheory. The main object of the present paper is to give some characteristic properties for some subclasses of uniformlystarlike and convex functions which are defined here by means of the normalized form of the generalized Bessel function tobe univalent in the open unit disc. Furthermore, we also establish some results of these subclasses related to a particularintegral operator. Some corresponding consequences of our main results are also considered.