Second Hankel determinant for a certain subclass of analytic functions defined by close-to-convex functions and the Salagean derivative operator

ORHAN, Halit; Arıkan, Hava; Başıbüyük, Ebru

doi:10.1007/s13370-026-01449-3

Second Hankel determinant for a certain subclass of analytic functions defined by close-to-convex functions and the Salagean derivative operator

ORHAN H., Arıkan H., Başıbüyük E.

Afrika Matematika, vol.37, no.2, 2026 (ESCI, Scopus)

Publication Type: Article / Article
Volume: 37 Issue: 2
Publication Date: 2026
Doi Number: 10.1007/s13370-026-01449-3
Journal Name: Afrika Matematika
Journal Indexes: Emerging Sources Citation Index (ESCI), Scopus, MathSciNet, zbMATH
Keywords: Analytic functions, Close-to convex functions, Fekete–Szegö problem, Hankel determinant, Hankel determinant problem, Salagean derivative operator, Univalent functions
Ataturk University Affiliated: Yes

Abstract

In this investigation, we derive Fekete–Szegè inequalities and upper bounds for the second Hankel determinant for a new subclass of analytic functions in the open unit disk formed by the close-to-convex functions and the Salagean derivative operator. Additionally, there is discussion of a number of intriguing applications of the findings given here.