NEIGHBORHOOD PROPERTIES OF CERTAIN SUBCLASSES OF ANALYTIC FUNCTIONS DEFINED BY GENERALIZED MITTAG-LEFFLER FUNCTION

Abstract

In this paper, we introduce new subclasses M_(λ,μ)^n (α,β,γ) and R_(λ,μ)^n (α,β,γ;ϑ) of analytic functions in the open unit disk U with negative coefficients defined by generalized Mittag-Leffler function. The object of the present paper is to determine coefficient inequalities, inclusion relations and neighborhoods properties for functions f(z) belonging to these subclasses