On the second Hankel determinant of certain subclass of bi-univalent functions

Atshan, Waggas; Rahman, Ibtihal; Yalçın Tokgöz, SİBEL

doi:10.1007/s13370-025-01269-x

On the second Hankel determinant of certain subclass of bi-univalent functions

Atshan W. G., Rahman I. A. R., Yalçın Tokgöz S.

Afrika Matematika, vol.36, no.2, 2025 (ESCI, Scopus)

Publication Type: Article / Article
Volume: 36 Issue: 2
Publication Date: 2025
Doi Number: 10.1007/s13370-025-01269-x
Journal Name: Afrika Matematika
Journal Indexes: Emerging Sources Citation Index (ESCI), Scopus, MathSciNet, zbMATH
Keywords: Analytic function, Bi-univalent function, Coefficient bounds, Hankel determinant, Subordination
Bursa Uludag University Affiliated: Yes

Abstract

In this paper, we define subclass DΣ(δ,β,α,t) of the function class Σ of bi-univalent functions defined in the open unit disk in the complex plane. Using Chebyshev polynomials, we have investigated the upper bound for the second Hankel determinant for this function class.