Majorization and Convolution Properties for Analytic Functions Involving a Linear Operator Associated with Telephone Numbers

Abstract

This paper introduces a novel subclass of Ma-Minda type starlike functions by incorporating the Dziok-Srivastava linear operator, which is associated with telephone numbers. The study provides an in-depth analysis of the majorization properties within this function class, highlighting their mathematical significance. Additionally, the convolution conditions for these functions are thoroughly investigated, offering new insights into their structural behavior. The results obtained not only extend the existing theory but also open up new avenues for further research in the field of Geometric Function Theory.