Geometric properties of harmonic functions associated with the symmetric conjecture points and exponential function

Geometric properties of harmonic functions associated with the symmetric conjecture points and exponential function

In this paper, some classes of univalent harmonic functions are introduced by subordination, where the analytic parts of which are exponential starlike (or convex) functions with respect to the symmetric conjecture points. According to the relationships of the analytic part and the co-analytic part,...

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Main Authors: Lina Ma, Shuhai Li, Huo Tang
Format: Article
Language:English
Published: AIMS Press 2020-09-01
Series:AIMS Mathematics
Subjects:
harmonic function
exponential function
subordination
symmetric conjecture point
coefficient estimates
Online Access:https://www.aimspress.com/article/10.3934/math.2020437/fulltext.html
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spelling doaj-a7ba8fa63cc84ea4b0a436e50b6fefb42020-11-25T01:25:58ZengAIMS PressAIMS Mathematics2473-69882020-09-01566800681610.3934/math.2020437Geometric properties of harmonic functions associated with the symmetric conjecture points and exponential functionLina Ma0Shuhai Li1Huo Tang21 School of Mathematics and Computer Sciences, Chifeng University, Chifeng 024000, Inner Mongolia, China 2 Laboratory of Mathematics and Complex Systems, Chifeng University, Chifeng 024000, Inner Mongolia, China1 School of Mathematics and Computer Sciences, Chifeng University, Chifeng 024000, Inner Mongolia, China 2 Laboratory of Mathematics and Complex Systems, Chifeng University, Chifeng 024000, Inner Mongolia, China1 School of Mathematics and Computer Sciences, Chifeng University, Chifeng 024000, Inner Mongolia, China 2 Laboratory of Mathematics and Complex Systems, Chifeng University, Chifeng 024000, Inner Mongolia, ChinaIn this paper, some classes of univalent harmonic functions are introduced by subordination, where the analytic parts of which are exponential starlike (or convex) functions with respect to the symmetric conjecture points. According to the relationships of the analytic part and the co-analytic part, the geometric properties, such as coefficient estimates, distortion theorems, integral expressions, estimates and growth conditions and covering theorem, of the classes are obtained.https://www.aimspress.com/article/10.3934/math.2020437/fulltext.htmlharmonic functionexponential functionsubordinationsymmetric conjecture pointcoefficient estimates
collection DOAJ
language English
format Article
sources DOAJ
author Lina Ma
Shuhai Li
Huo Tang
spellingShingle Lina Ma
Shuhai Li
Huo Tang
Geometric properties of harmonic functions associated with the symmetric conjecture points and exponential function
AIMS Mathematics
harmonic function
exponential function
subordination
symmetric conjecture point
coefficient estimates
author_facet Lina Ma
Shuhai Li
Huo Tang
author_sort Lina Ma
title Geometric properties of harmonic functions associated with the symmetric conjecture points and exponential function
title_short Geometric properties of harmonic functions associated with the symmetric conjecture points and exponential function
title_full Geometric properties of harmonic functions associated with the symmetric conjecture points and exponential function
title_fullStr Geometric properties of harmonic functions associated with the symmetric conjecture points and exponential function
title_full_unstemmed Geometric properties of harmonic functions associated with the symmetric conjecture points and exponential function
title_sort geometric properties of harmonic functions associated with the symmetric conjecture points and exponential function
publisher AIMS Press
series AIMS Mathematics
issn 2473-6988
publishDate 2020-09-01
description In this paper, some classes of univalent harmonic functions are introduced by subordination, where the analytic parts of which are exponential starlike (or convex) functions with respect to the symmetric conjecture points. According to the relationships of the analytic part and the co-analytic part, the geometric properties, such as coefficient estimates, distortion theorems, integral expressions, estimates and growth conditions and covering theorem, of the classes are obtained.
topic harmonic function
exponential function
subordination
symmetric conjecture point
coefficient estimates
url https://www.aimspress.com/article/10.3934/math.2020437/fulltext.html
work_keys_str_mv AT linama geometricpropertiesofharmonicfunctionsassociatedwiththesymmetricconjecturepointsandexponentialfunction
AT shuhaili geometricpropertiesofharmonicfunctionsassociatedwiththesymmetricconjecturepointsandexponentialfunction
AT huotang geometricpropertiesofharmonicfunctionsassociatedwiththesymmetricconjecturepointsandexponentialfunction
_version_ 1725111485055631360

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