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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Bibliographic Details
Published inAIMS mathematics Vol. 5; no. 6; pp. 6800 - 6816
Main Authors Ma, Lina, Li, Shuhai, Tang, Huo
Format Journal Article
LanguageEnglish
Published AIMS Press 01.01.2020
Subjects
coefficient estimates
exponential function
harmonic function
subordination
symmetric conjecture point
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ISSN2473-6988
2473-6988
DOI10.3934/math.2020437

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Summary: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.
ISSN:2473-6988
2473-6988
DOI:10.3934/math.2020437