The Fekete-Szegö functional and the Hankel determinant for a certain class of analytic functions involving the Hohlov operator

AIMS Mathematics

article

Hari Mohan Srivastava¹  Timilehin Gideon Shaba⁵  Gangadharan Murugusundaramoorthy⁶  Abbas Kareem Wanas⁷  Georgia Irina Oros⁸ 

[1] Department of Mathematics and Statistics, University of Victoria;Department of Medical Research, China Medical University Hospital, China Medical University;Department of Mathematics and Informatics, Azerbaijan University;Section of Mathematics, International Telematic University Uninettuno;Department of Mathematics, University of Ilorin;Department of Mathematics, VIT University;Department of Mathematics, University of Al-Qadisiyah;Department of Mathematics and Computer Science, University of Oradea

关键词: analytic functions;    univalent functions;    coefficient bounds;    Fekete-Szegöfunctional;    Hohlov operator;    Dziok-Srivastava operator;    Srivastava-Wright operator;    Fekete-Szegöinequality;    Hankel determinant;    basic $ q $-calculus;    $ (p;    q) $-variation;   

DOI  :  10.3934/math.2023016

学科分类：地球科学(综合)

来源: AIMS Press

【 摘 要 】

In this paper, we introduce and study a new subclass of normalized functions that are analytic and univalent in the open unit disk $ \mathbb{U} = \{z:z\in \mathcal{C}\; \; \text{and}\; \; |z| 0, \end{equation*} $where $ z\in \mathbb{U} $, $ 0\leqq \mu\leqq 1 $ and $ \phi\in \left(-\frac{\pi}{2}, \frac{\pi}{2}\right) $, and which is associated with the Hohlov operator $ \mathcal{L}_{u, v}^{w} $. For functions in this class, the coefficient bounds, as well as upper estimates for the Fekete-Szegö functional and the Hankel determinant, are investigated.

【 授权许可】

CC BY