TY - JOUR
ID - 701228
TI - Second Hankel Determinant for Certain Subclasses of Bi-starlike Functions Defined by Differential Operators
JO - Sahand Communications in Mathematical Analysis
JA - SCMA
LA - en
SN - 2322-5807
AU - Orhan, Halit
AU - Arikan, Hava
AU - Çağlar, Murat
AD - Department of Mathematics, Faculty of Science, Atatürk University, 25040, Erzurum, Turkiye.
AD - Department of Mathematics, Faculty of Science, Erzurum Technical University, 25100, Erzurum, Turkiye.
Y1 - 2023
PY - 2023
VL - 20
IS - 2
SP - 65
EP - 83
KW - Analytic functions
KW - Univalent functions
KW - Bi-univalent functions
KW - Bi-starlike functions
KW - Subordination between analytic functions
KW - Hankel determinant
DO - 10.22130/scma.2022.553738.1110
N2 - 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.
UR - https://scma.maragheh.ac.ir/article_701228.html
L1 - https://scma.maragheh.ac.ir/article_701228_ae95b9e3fbc523ad146d5f3992ae7a16.pdf
ER -