Majorization property for specific classes of analytic functions

Abstract

The majorization property plays a significant role in understanding the behavior of certain classes of analytic functions and their mappings. In this research, we introduce two novel classes of analytic functions, denoted as S_ζ[E, F; μ; γ] and T_ζ(θ, μ, γ) using the usual operator H_s. Our primary focus is to investigate the majorization properties of these newly defined classes of analytic function. Some applications of the results are discussed in the corollaries with different operators.