Applications of Bernoulli Polynomials and q2-Srivastava–Attiya Operator in the Study of Bi-Univalent Function Classes

The central focus of this study is the development and investigation of a generalized subclass of bi-univalent functions, defined using the q2-Srivastava–Attiya operator in conjunction with Bernoulli polynomials. We derive initial coefficient estimates for functions in the newly proposed class and also provide bounds for the Fekete–Szegö functional. In addition to presenting several new findings, we also explore meaningful connections with previously established results in the theory of bi-univalent and subordinate functions, thereby extending and unifying the existing literature in a novel direction.