Work

Coefficient estimates for certain class of bi-Bazilevič bounded functions with complex of order

Year: 2025

Type: article

Abstract: In this paper, we introduce a new class of Bazilevič bi-univalent functions with complex order, defined in the open unit disk by employing bounded analytic functions. We establish precise bounds for the second and third Taylor–Maclaurin coefficients of functions in this class. Our results generalize several known coefficient estimates in geometric function theory. Furthermore, we examine important special cases that demonstrate the practical implications of our findings.

Source: Afrika Matematika

DOI: 10.1007/s13370-025-01364-z

Author: Tamer M. Seoudy

Institution: Fayoum University

Language: English

Topic: Analytic and geometric function theory

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,290

Funder: Science and Technology Development Fund