Neighborhood Properties of Certain Subclasses of Analytic Functions Defined by Generalized Mittag-Leffler Function

Abstract

In this paper, we introduce new subclasses M-lambda,mu(n) (alpha, beta, gamma) and R-lambda,mu(n)(alpha, beta, gamma; nu) of analytic functions in the open unit disk Zl 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.