Papers
Topics
Authors
Recent
Gemini 2.5 Flash
Gemini 2.5 Flash
173 tokens/sec
GPT-4o
7 tokens/sec
Gemini 2.5 Pro Pro
46 tokens/sec
o3 Pro
4 tokens/sec
GPT-4.1 Pro
38 tokens/sec
DeepSeek R1 via Azure Pro
28 tokens/sec
2000 character limit reached

Bohr-Rogosinski phenomenon for $\mathcal{S}^*(ψ)$ and $\mathcal{C}(ψ)$ (2105.08684v1)

Published 18 May 2021 in math.CV

Abstract: In Geometric function theory, occasionally attempts have been made to solve a particular problem for the Ma-Minda classes, $\mathcal{S}*(\psi)$ and $\mathcal{C}(\psi)$ of univalent starlike and convex functions, respectively. Recently, a popular radius problem generally known as Bohr's phenomenon has been studied in various settings, however little is known about Rogosinski radius. In this article, for a fixed $f\in \mathcal{S}*(\psi)$ or $\mathcal{C}(\psi),$ the class of analytic subordinants $S_{f}(\psi):= {g : g\prec f } $ is studied for the Bohr-Rogosinski phenomenon in a general setting. It's applications to the classes $\mathcal{S}*(\psi)$ and $\mathcal{C}(\psi)$ are also shown.

Citations (4)

Summary

We haven't generated a summary for this paper yet.