Some basic geometric properties of a subclass of harmonic mappings

In the present paper, a new subclass of complex-valued harmonic functions in the open unit disk is introduced and coefficient bounds, growth estimates, radius of univalency, radius of starlikeness and radius of convexity of this class are investigated. In addition, it is shown that this class is clo...

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Bibliographic Details
Published in:Boletín de la Sociedad Matemática Mexicana 2022-07, Vol.28 (2), Article 54
Main Authors: Çakmak, Serkan, Yaşar, Elif, Yalçın, Sibel
Format: Article
Language:English
Subjects:
Convexity
Harmonic functions
Mathematics
Mathematics and Statistics
Original Article
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Summary:In the present paper, a new subclass of complex-valued harmonic functions in the open unit disk is introduced and coefficient bounds, growth estimates, radius of univalency, radius of starlikeness and radius of convexity of this class are investigated. In addition, it is shown that this class is closed under convolution of its members.
ISSN:1405-213X
2296-4495
DOI:10.1007/s40590-022-00448-1