Bi- Univalent Functions Particular Subclass via Third Hankel Determinant

Abstract

The current work tackles bi-univalent functions' subclass ????(????) inside the reign

U (which is a rather open disk). In addition, this study involves complicated

analysis and geometric function theory as an attempt to limit the rating the

Hankel determinant 3ed for the class ????(λ). And this is of highly significance in

multiple mathematical fields. Consequently, be-univalent functions are used as

????(????) and the constrains or limits are put on the coefficients |????????|. The goal of the

current study is to restrict the confines of order's 3 Hankel determinant, (????3(1).

The researcher infers the third Hankel determinant of the recently progressed

subclass (n=2,3,4 and 5), and the result is many interested outcomes. These

results enlarge greater meaning and usages about functions of be-univalent type

in multiple fields of mathematics. Moreover, these results might open the

possibility for further studies concerning be-univalent functions (their use and

their features).