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http://dx.doi.org/10.4134/CKMS.c210273

PROPERTIES OF FUNCTIONS WITH BOUNDED ROTATION ASSOCIATED WITH LIMAÇON CLASS  

Jabeen, Kanwal (Punjab College Ayub Park Campus)
Saliu, Afis (Department of Mathematics Gombe State University)
Publication Information
Communications of the Korean Mathematical Society / v.37, no.4, 2022 , pp. 995-1007 More about this Journal
Abstract
In this article, we initiate subclasses of functions with boundary and radius rotations that are related to limaçon domains and examine some of their geometric properties. Radius results associated with functions in these classes and their linear combination are studied. Furthermore, the growth rate of coefficients, arc length and coefficient estimates are derived for these novel classes. Overall, some useful consequences of our findings are also illustrated.
Keywords
Univalent functions; Schwarz functions; limacon domains; subordination; analytic functions; functions with bounded boundary and radius rotations;
Citations & Related Records
Times Cited By KSCI : 1  (Citation Analysis)
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