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The Properties of a New Subclass of Harmonic Univalent Mappings
Joint Authors
Source
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-7, 7 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-10-10
Country of Publication
Egypt
No. of Pages
7
Main Subjects
Abstract EN
We introduced a new subclass of univalent harmonic functions defined by the shear construction in the present paper.
First, we showed that the convolutions of two special subclass harmonic mappings are convex in the horizontal direction.
Secondly, we proved a necessary and sufficient condition for the above subclass of harmonic mappings to be convex in the horizontal direction.
We also presented some basic examples of univalent harmonic functions explaining the behavior of the image domains.
American Psychological Association (APA)
Liu, Zhi-Hong& Li, Ying-Chun. 2013. The Properties of a New Subclass of Harmonic Univalent Mappings. Abstract and Applied Analysis،Vol. 2013, no. 2013, pp.1-7.
https://search.emarefa.net/detail/BIM-498650
Modern Language Association (MLA)
Liu, Zhi-Hong& Li, Ying-Chun. The Properties of a New Subclass of Harmonic Univalent Mappings. Abstract and Applied Analysis No. 2013 (2013), pp.1-7.
https://search.emarefa.net/detail/BIM-498650
American Medical Association (AMA)
Liu, Zhi-Hong& Li, Ying-Chun. The Properties of a New Subclass of Harmonic Univalent Mappings. Abstract and Applied Analysis. 2013. Vol. 2013, no. 2013, pp.1-7.
https://search.emarefa.net/detail/BIM-498650
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-498650