- Current Issue - Ahead of Print Articles - All Issues - Search - Open Access - Information for Authors - Downloads - Guideline - Regulations ㆍPaper Submission ㆍPaper Reviewing ㆍPublication and Distribution - Code of Ethics - For Authors ㆍOnline Submission ㆍMy Manuscript - For Reviewers - For Editors
 Sharp coefficient inequalities for certain subclasses of bi-univalent Bazilevi\v{c} functions Commun. Korean Math. Soc. 2022 Vol. 37, No. 1, 113-123 https://doi.org/10.4134/CKMS.c200468Published online November 4, 2021Printed January 31, 2022 Amol Bhausaheb Patil AISSMS College of Engineering Abstract : In the present paper, we introduce the subclasses $\mathfrak{B}_{1\Sigma}(\mu)$, $\mathrm{B}_{1\Sigma}(\mu,\gamma)$ and $\mathit{U}_{\Sigma}(\mu,\gamma)$ of bi-univalent Bazilevi\v{c} functions which are defined in the open unit disk $\mathbb{D}$. Further, we obtain sharp estimates on initial coefficients $a_2$, $a_3$, $a_4$ and also sharp estimate on the Fekete-Szeg\"{o} functional $a_3-k{a}_{2}^{2}$ for the functions belong to these subclasses. Keywords : Analytic function, univalent function, bi-univalent function, star-like function, Bazilevi\v{c} function MSC numbers : Primary 30C45, 30C50 Downloads: Full-text PDF   Full-text HTML

 Copyright © Korean Mathematical Society. (Rm.1109) The first building, 22, Teheran-ro 7-gil, Gangnam-gu, Seoul 06130, Korea Tel: 82-2-565-0361  | Fax: 82-2-565-0364  | E-mail: paper@kms.or.kr   | Powered by INFOrang Co., Ltd