Certain subclass of meromorphic functions involving generalized differential operator

B. Venkateswarlu P. Thirupathi Reddy, N. Rani

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 Σp(α, β). 

Tbilisi Mathematical Journal, Vol. 13(4) (2020), pp. 1-11