Univalency of Certain Transform of Univalent Functions

DOI10.7546/CRABS.2023.06.01arXiv2209.12688OpenAlexW4382516887MaRDI QIDQ6055313

Obradović, Milutin, Nikola Tuneski

Publication date: 28 September 2023

Published in: Proceedings of the Bulgarian Academy of Sciences (Search for Journal in Brave)

Abstract: We consider univalency problem in the unit disc $mathbb D$ of the function $$g(z)=frac{(z/f(z))-1}{-a_{2}},$$ where $f$ belongs to some classes of univalent functions in ${mathbb D}$ and $a_{2}=frac{f(0)}{2} eq 0$.

Full work available at URL: https://arxiv.org/abs/2209.12688

zbMATH Keywords

univalenttransformanalytic

Mathematics Subject Classification ID

Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.) (30C45)

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