2011/08/27 by Rosihan M. Ali, Mahnaz M. Nargesi, Ali, Rosihan M. +5
Mathematics · #30C45 #Analytic and geometric function theory #Complex Variables (math.CV) #Differential Equations and Boundary Problems #FOS: Mathematics #Holomorphic and Operator Theory
paper · pdf · doi:10.48550/arxiv.1108.5421
openalex publication_date 2011/08/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
A normalized analytic function f is shown to be univalent in the open unit disk D if its second coefficient is sufficiently small and relates to its Schwarzian derivative through a certain inequality. New criteria for analytic functions to be in certain subclasses of functions are established in terms of the Schwarzian derivatives and the second coefficients. These include obtaining a sufficient condition for functions to be strongly α-Bazileviĉ of order β.