| 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: | M22 | 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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