Alina Alb Lupaş, Adriana Cătaş, “A note on a subclass of analytic functions defined by a differential operator”, Bul. Acad. Ştiinţe Repub. Mold. Mat., 2009, Number 2,Pages <nobr>131

This article is cited in 1 paper

Short communications

A note on a subclass of analytic functions defined by a differential operator

Alina Alb Lupaş, Adriana Cătaş

Department of Mathematics and Computer Science, University of Oradea, Oradea, Romania

Abstract: By means of the Sălăgean differential operator we define a new class $\mathcal{BS}(m,\mu,\alpha)$ involving functions $f\in\mathcal A_n$. Parallel results for some related classes including the class of starlike and convex functions respectively are also obtained.

Keywords and phrases: analytic function, starlike function, convex function, Sălăgean differential operator.

MSC: 30C45

Received: 22.08.2009

Language: English