Zalcman Functional and Majorization Results for Certain Subfamilies of Holomorphic Functions

In this paper, we investigate sharp coefficient functionals, like initial four sharp coefficient bounds, sharp Fekete-Szego functionals, and, for n=1 and 2, sharp Zalcman functionals are evaluated for class of functions associated with tangent functions. Furthermore, we provide some majorization results for some non-vanishing holomorphic functions, whose ratios are related to various domains in the open unit disk.

Automated summary

In this paper, we investigate coefficient functionals related to tangent functions and evaluate sharp coefficient bounds, sharp Fekete-Szego functionals, and sharp Zalcman functionals for this class of functions. We also provide majorization results for some non-vanishing holomorphic functions that are related to various domains in the open unit disk.