On applications of the extended Jack's lemma

UDC 517.5 We introduce and study a class ${\bf\mathcal{G}}(\alpha,\beta)$ comprising analytic functions associated with a sector domain, where $\alpha,\beta\in(0,1]$. By using the extended version of Jack's lemma, we deduce the Open–Door lemma sufficient conditions for functions to be in  $...

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Bibliographic Details
Date:2026
Main Authors: Kumar, S. Sivaprasad, Yadav, Pooja
Format: Article
Language:English
Published: Institute of Mathematics, NAS of Ukraine 2026
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/8419
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal