Authors: Mateljević, Miodrag
Mutavdžić, Nikola 
Örnek, Bulent Nafi
Affiliations: Mechanics 
Mathematical Institute of the Serbian Academy of Sciences and Arts 
Title: NOTE ON SOME CLASSES OF HOLOMORPHIC FUNCTIONS RELATED TO JACK’S AND SCHWARZ’S LEMMA
Journal: Applicable Analysis and Discrete Mathematics
Issue Date: 1-Jan-2022
Rank: M21
ISSN: 1452-8630
DOI: 10.2298/AADM200319006M
Abstract: 
In this paper we discuss holomorphic mappings f of the unit disc U and corresponding index defined as (Formula Presented). We are interested in finding bounds on the growth of functions f and related issues, if there are known some properties of If on U. Our main tool in accomplishing this connection is Jack’s lemma. As a special case, we got estimates on the growth of some classes of α-starlike functions as well as some interesting generalisations
Keywords: Growth of analytic functions | Jack’s lemma | Schwarz lemma
Publisher: University of Belgrade, School of Electrical Engineering

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