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All Journal CAUCHY: Jurnal Matematika Murni dan Aplikasi
Alifira Meliana Rachman
Department of Mathematics, Faculty of Science, Technology, and Mathematics, Brawijaya University, Malang
Mathematics

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Coefficient Bounds for a Subclass of Bi-Univalent Functions Alifira Meliana Rachman; Marjono Marjono; Sa’adatul Fitri
CAUCHY: Jurnal Matematika Murni dan Aplikasi Vol 11, No 2 (2026): CAUCHY: JURNAL MATEMATIKA MURNI DAN APLIKASI
Publisher : Mathematics Department, Maulana Malik Ibrahim State Islamic University of Malang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.18860/cauchy.v11i2.43761

Abstract

In this paper, we obtain explicit upper bounds for the initial seven coefficients and their inverses for a subclass of bi-univalent functions defined via subordination. Using coefficient estimates associated with the Carathodory class and coefficient comparison techniques, expressions for the bounds of a2, a3, , a7 are derived. Moreover, it is proved that the first seven inverse coefficients admit the same upper bounds as the corresponding coefficients of the original function. These findings generalize several existing results concerning lower-order coefficients and provide a framework for further investigations of higher-order coefficient and Hankel determinant problems in the theory of bi-univalent functions.
Co-Authors Marjono Marjono Sa’adatul Fitri