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

Ibtisam Aldawish

doi:10.3390/axioms14100731

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

2025-09-27

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AI

I

Ibtisam Aldawish *

S

Sondekola Rudra Swamy

B

Basem Aref Frasin

S

Supriya Chandrashekharaiah

DOI：10.3390/axioms14100731

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Abstract

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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={& varsigma;is an element of C:|& varsigma;|<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-Szego problem. Several new results are also obtained as special cases by specifying certain parameter values in the general findings.

Keywords:

Bernoulli polynomials

regular functions

imaginary error function

bi-univalent functions

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

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