Surveys in Mathematics and its Applications (Mar 2019)
On new subclass of meromorphically convex functions with positive coefficients
Abstract
In this paper we introduce and study a new subclass of meromorphically uniformly convex functions with positive coefficients defined by a differential operator and obtain coefficient estimates, growth and distortion theorem, radius of convexity, integral transforms, convex linear combinations, convolution properties and δ-neighborhoods for the class σ p (α).