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

AIMS Mathematics

Huo Tang¹  Lina Ma¹  Shuhai Li¹ 

[1] 1 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, China;

关键词: harmonic function;    exponential function;    subordination;    symmetric conjecture point;    coefficient estimates;   

DOI  :  10.3934/math.2020437

来源: DOAJ

【 摘 要 】

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.

【 授权许可】

Unknown