NEW SUBCLASS OF BI-UNIVALENT FUNCTIONS
BASED ON QUASI-SUBORDINATION
Jae Ho Choi
Department of Mathematics Education
Daegu National University of Education
219 Jungangdaero, Namgu,
Daegu 42411, KOREA

Abstract

In this paper, we introduce a new subclass $\MQ$ of analytic and bi-univalent functions involving a certain fractional integral operator which is defined based on quasi-subordination. For this class, we estimate the second and third coefficients of the Taylor-Maclaurin series expansions and upper bounds for Feketo-Szeg$\rm\ddot{o}$ inequality. Furthermore, some relevant connections of certain special cases of the main results with those in several earlier works are also pointed out.

Citation details of the article



Journal: International Journal of Applied Mathematics
Journal ISSN (Print): ISSN 1311-1728
Journal ISSN (Electronic): ISSN 1314-8060
Volume: 36
Issue: 5
Year: 2023

DOI: 10.12732/ijam.v36i5.8

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