AIMS Mathematics (2020-09-01)

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

  • Lina Ma,
  • Shuhai Li,
  • Huo Tang

DOI
https://doi.org/10.3934/math.2020437
Journal volume & issue
Vol. 5, no. 6
pp. 6800 – 6816

Abstract

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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.

Keywords