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Bull. Korean Math. Soc. 2020; 57(6): 1529-1539
Online first article October 19, 2020 Printed November 30, 2020
https://doi.org/10.4134/BKMS.b200039
Copyright © The Korean Mathematical Society.
On subclasses of functions with boundary and radius rotations associated with crescent domains
Saliu Afis, Khalida Inayat Noor
COMSATS University Islamabad; COMSATS University Islamabad
The present work is aimed at presenting some characteristic properties of functions that map open unit disk onto a lune in the right half plane. Furthermore, we introduce subclasses of functions with boundary and radius rotations which are related to crescent regions. Some useful results, which include coefficient inequalities and some subordination properties associated with these subclasses are derived. Consequently, related problems concerning these classes are also studied.
Keywords: Analytic function, subordination, crescent domain
MSC numbers: 30C45, 30C50, 30C55
Supported by: The authors would like to express their gratitude to the Rector, COMSATS University Islamabad, for providing excellent research facilities
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