CONSTRUCTION OF SUBCLASSES OF UNIVALENT HARMONIC MAPPINGS

Complex-valued harmonic functions that are univalent and sense-preserving in the open unit disk are widely studied. A new methodology is employed to construct subclasses of univalent harmonic mappings from a given subfamily of univalent analytic functions. The notions of harmonic Alexander operator...

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Bibliographic Details
Published in:	Journal of the Korean Mathematical Society Vol. 51; no. 3; pp. 567 - 592
Main Authors:	Nagpal, Sumit, Ravichandran, V
Format:	Journal Article
Language:	Korean
Published:	2014
Subjects:	starlike convex combination growth estimate convex convolution univalent harmonic mappings coefficient estimates close-to-convex integral operators
Online Access:	Get full text
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Summary:	Complex-valued harmonic functions that are univalent and sense-preserving in the open unit disk are widely studied. A new methodology is employed to construct subclasses of univalent harmonic mappings from a given subfamily of univalent analytic functions. The notions of harmonic Alexander operator and harmonic Libera operator are introduced and their properties are investigated.
Bibliography:	KISTI1.1003/JNL.JAKO201414938220703
ISSN:	0304-9914