@article {
author = {Orhan, Halit and Arikan, Hava and Çağlar, Murat},
title = {Second Hankel Determinant for Certain Subclasses of Bi-starlike Functions Defined by Differential Operators},
journal = {Sahand Communications in Mathematical Analysis},
volume = {20},
number = {2},
pages = {65-83},
year = {2023},
publisher = {University of Maragheh},
issn = {2322-5807},
eissn = {2423-3900},
doi = {10.22130/scma.2022.553738.1110},
abstract = {In this paper, we obtain upper bounds of the initial Taylor-Maclaurin coefficients $\left\vert a_{2}\right\vert ,$ $\left\vert a_{3}\right\vert $ and $\left\vert a_{4}\right\vert $ and of the Fekete-Szegö functional $\left\vert a_{3}-\eta a_{2}^{2}\right\vert $ for certain subclasses of analytic and bi-starlike functions $\mathcal{S}_{\sigma }^{\ast }(\beta,\theta ,n,m)$ in the open unit disk. We have also obtained an upper bound of the functional $\left\vert a_{2}a_{4}-a_{3}^{2}\right\vert $ for the functions in the class $\mathcal{S}_{\sigma }^{\ast }(\beta ,\theta ,n,m)$. Moreover, several interesting applications of the results presented here are also discussed.},
keywords = {Analytic functions,Univalent functions,Bi-univalent functions,Bi-starlike functions,Subordination between analytic functions,Hankel determinant},
url = {https://scma.maragheh.ac.ir/article_701228.html},
eprint = {https://scma.maragheh.ac.ir/article_701228_ae95b9e3fbc523ad146d5f3992ae7a16.pdf}
}