ABSTRACT Our investigation is motivated by the wide range of interesting and fruitful applications of special polynomials. Among these, Bernoulli polynomials have recently garnered attention in the study of bi‐univalent function theory. In this article, we introduce and analyze a broad subclass of bi‐univalent functions associated with the imaginary error function, governed by Bernoulli polynomials. We derive initial coefficient bounds for functions in this subclass and explore their properties in relation to the Fekete–Szegö inequality. Additionally, we discuss connections to previous research while highlighting several new results.
Swamy et al. (Thu,) studied this question.
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