Neighborhoods of Certain Classes of Analytic Functions Defined by Normalized Function az^2 J_ϑ'' (z)+bzJ_ϑ' (z)+cJ_ϑ (z)

Abstract

In this paper, we introduce a new subclass of analytic functions in the open unit disk U with negative coefficients defined by normalized of the az^2 J_ϑ^'' (z)+bzJ_ϑ^' (z)+cJ_ϑ (z) function, where J_ϑ (z) is called the Bessel function of the first kind of order ϑ. The object of the present paper is to determine coefficient inequalities, inclusion relations and neighborhoods properties for functions f(z) belonging to this subclass.