Work

Bi-Univalent Function Classes Defined by Imaginary Error Function and Bernoulli Polynomials

Year: 2025

Type: article

Abstract: In recent years, special functions have played a significant role in the investigation of different subclasses within the class of bi-univalent functions. In this work, we present and investigate two new subclasses of bi-univalent functions defined in U={ς∈C:|ς|<1}, characterized by Bernoulli polynomials associated with imaginary error functions. For functions belonging to these subclasses, we establish bounds for their initial coefficients. For these classes, we also tackle the Fekete–Szegö problem. Several new results are also obtained as special cases by specifying certain parameter values in the general findings.

Source: Axioms

DOI: 10.3390/axioms14100731

Authors: Ibtisam Aldawish, Sondekola Rudra Swamy, Basem Aref Frasin, Supriya Chandrashekharaiah

Institutions: Imam Mohammad ibn Saud Islamic University, Acharya Institute of Technology, Al al-Bayt University

Language: English

Topic: Analytic and geometric function theory

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $2,896

Funder: Al-Imam Muhammad Ibn Saud Islamic University