Directional Convexity of Convolutions of Harmonic Functions
Joint Authors
M. Jahangiri, Jay
Garg, Raj Kumar
Source
International Journal of Mathematics and Mathematical Sciences
Issue
Vol. 2019, Issue 2019 (31 Dec. 2019), pp.1-6, 6 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2019-04-01
Country of Publication
Egypt
No. of Pages
6
Main Subjects
Abstract EN
Harmonic functions can be constructed using two analytic functions acting as their analytic and coanalytic parts but the prediction of the behavior of convolution of harmonic functions, unlike the convolution of analytic functions, proved to be challenging.
In this paper we use the shear construction of harmonic mappings and introduce dilatation conditions that guarantee the convolution of two harmonic functions to be harmonic and convex in the direction of imaginary axis.
American Psychological Association (APA)
M. Jahangiri, Jay& Garg, Raj Kumar. 2019. Directional Convexity of Convolutions of Harmonic Functions. International Journal of Mathematics and Mathematical Sciences،Vol. 2019, no. 2019, pp.1-6.
https://search.emarefa.net/detail/BIM-1166368
Modern Language Association (MLA)
M. Jahangiri, Jay& Garg, Raj Kumar. Directional Convexity of Convolutions of Harmonic Functions. International Journal of Mathematics and Mathematical Sciences No. 2019 (2019), pp.1-6.
https://search.emarefa.net/detail/BIM-1166368
American Medical Association (AMA)
M. Jahangiri, Jay& Garg, Raj Kumar. Directional Convexity of Convolutions of Harmonic Functions. International Journal of Mathematics and Mathematical Sciences. 2019. Vol. 2019, no. 2019, pp.1-6.
https://search.emarefa.net/detail/BIM-1166368
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1166368