Multiplier family of harmonic univalent functions

摘要

The aim of this paper is to study a multiplier family of harmonic univalent functions using the sequences {cn} and {dn} of positive real numbers. By specializing {cn} and {dn}, the generalized Bernardi–Libera–Livingston integral operator is modified for such functions and the closure of the multiplier family under the modified integral operator is determined. Also, convolution products, closure properties, distortion theorems, convex combinations and neighborhoods for such functions are given.