2024/12/24 by Molla Basir Ahamed, Ahamed, Molla Basir, Rajesh Hossain +1 · 2 citations
Mathematics · #Analytic and geometric function theory #Functional Equations Stability Results #Holomorphic and Operator Theory
paper · pdf · doi:10.48550/arxiv.2412.18284
The primary objective of this paper is to derive sharp bounds for the norms of the Schwarzian and pre-Schwarzian derivatives in the Ozaki close-to-convex functions f, expressed in terms of their value f′′(0), in particular, when the quantity is equal to zero. Additionally, we obtain sharp bounds for distortion and growth theorems. We will also derive the sharp bound of pre-Schwarzian norm for a certain class of harmonic mappings whose analytic part is fixed.