@article {
author = {Alizadeh, Mehri and Aghalary, Rasoul and Ebadian, Ali},
title = {On Some Properties of Log-Harmonic Functions Product},
journal = {Sahand Communications in Mathematical Analysis},
volume = {19},
number = {4},
pages = {133-147},
year = {2022},
publisher = {University of Maragheh},
issn = {2322-5807},
eissn = {2423-3900},
doi = {10.22130/scma.2022.554936.1121},
abstract = {In this paper we define a new subclass $S_{LH}(k, \gamma; \varphi)$ of log-harmonic mappings, and then basic properties such as dilations, convexity on one direction and convexity of log functions of convex- exponent product of elements of that class are discussed. Also we find sufficient conditions on $\beta$ such that $f\in S_{LH}(k, \gamma; \varphi)$ leads to $F(z)=f(z)|f(z)|^{2\beta}\in S_{LH}(k, \gamma, \varphi)$. Our results generalize the analogues of the earlier works in the combinations of harmonic functions.},
keywords = {Univalent function,Log-harmonic function,Convex in the one direction,Sense-preserving functions},
url = {https://scma.maragheh.ac.ir/article_696730.html},
eprint = {https://scma.maragheh.ac.ir/article_696730_4a7b7f85d03691ff0c0c19b7873399e4.pdf}
}