COEFFICIENT ESTIMATES FOR CERTAIN SUBCLASSES OF ANALYTIC AND BI-UNIVALENT FUNCTION ASSOCIA

Abstract

Characterizing and estimating coefficients for subclasses of analytic and bi-univalent functions using
fractional derivative operators. In this paper, we propose two novel subclasses within the realm of
analytic and bi-univalent functions defined in the open unit disk U. By introducing these subclasses, we
derive estimates for the initial two Taylor-Maclaurin coefficients, specifically | | 2 a and
| | 3 a
, pertaining to
functions falling within these newly defined categories. This research paper sheds light on the behavior of
functions in these subclasses and contributes to the broader understanding of their analytic and geometric
properties.