Schwarzian norm estimate for functions in Robertson class

DOI10.1016/j.bulsci.2023.103335zbMath1529.30012arXiv2307.08976OpenAlexW4386525765MaRDI QIDQ6071774

Md Firoz Ali, Sanjit Pal

Publication date: 29 November 2023

Published in: Bulletin des Sciences Mathématiques (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2307.08976

zbMATH Keywords

spiral-like functionsSchwarzian normRobertson class of functions

Mathematics Subject Classification ID

Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.) (30C45) General theory of univalent and multivalent functions of one complex variable (30C55)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Almost locally univalent functions
• A property of convex conformal maps
• Domain constants associated with Schwarzian derivative
• Univalent functions \(f(z)\) for which \(zf'(z)\) is \(\alpha\)-spiral-like
• Norm estimates for function starlike or convex of order alpha
• Growth and coefficient estimates for uniformly locally univalent functions on the unit disk.
• Univalent functions \(f(z)\) for which \(zf'(z)\) is spirallike
• Sharp norm estimate of Schwarzian derivative for a class of convex functions
• A sharp bound for the Schwarzian derivative of concave functions
• Schlichtheitskriterien und Jordangebiete.
• Uniformly convex functions
• Univalence of the Integral of f ′(z)^λ
• [https://portal.mardi4nfdi.de/wiki/Publication:4078301 Regular Functions f(z) for which zf � (z) is α-Spiral-Like]
• Uniformly Convex Functions and a Corresponding Class of Starlike Functions
• Some extremal problems for certain families of analytic functions I
• Verzerrungssätze und Koeffizientenbedingungen von GRUNSKYschen Typ für quasikonforme Abbildungen
• Löwnersche Differentialgleichung und quasikonform fortsetzbare schlichte Funktionen.
• [https://portal.mardi4nfdi.de/wiki/Publication:5657011 Regular Functions f(z) for which zf � (z) is α-Spiral]
• The Schwarzian derivative and schlicht functions
• On uniformly convex functions
• Schwarzian norm estimates for some classes of analytic functions
• Pre-Schwarzian norm estimates for the class of Janowski starlike functions

This page was built for publication: Schwarzian norm estimate for functions in Robertson class