Initial coefficient estimates for subclasses of bi-univalent functions

Mallikarjun Shrigan; P. N. Kamble

doi:10.26637/mjm1102/010

Abstract

The purpose of the present paper is to introduce new subclasses of the function class $\Sigma$ of normalized analytic and bi-univalent functions in the open disk $\mathbb{U}$. We obtain estimates on the first two Taylor-Maclaurin coefficients $|a_{2}|$ and $|a_{3}|$ for functions of these subclasses.

Keywords:

Analytic functions, bi-univalent functions, coefficient bounds,, $q$-derivative operator, Taylor-Maclaurin series

Mathematics Subject Classification:

Mathematics

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Mallikarjun Shrigan Department of Mathematics, Bhivarabai Sawant Institute of Technology and Research, Pune, India. https://orcid.org/0000-0002-9474-0979
P. N. Kamble Department of Mathematics, Dr. Babasaheb Ambedkar Marathwada University, Aurangabad, India.

Pages: 219-227
Date Published: 01-04-2023
Vol. 11 No. 02 (2023): Malaya Journal of Matematik (MJM)

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