On subclasses of functions with boundary and radius rotations associated with crescent domains
Bull. Korean Math. Soc. 2020 Vol. 57, No. 6, 1529-1539
https://doi.org/10.4134/BKMS.b200039
Published online October 19, 2020
Printed November 30, 2020
Saliu Afis, Khalida Inayat Noor
COMSATS University Islamabad; COMSATS University Islamabad
Abstract : 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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