On certain bi-univalent functions defined via the Struve function and symmetric point structure

Abstract

The theory of bi-univalent functions has attracted considerable attention due to its rich geometric structure and its connections with various special functions. However, the interaction between bi-univalent function theory, symmetric point structures, and the Struve function has not been sufficiently explored in the existing literature. Motivated by this gap, we introduce a new class of bi-univalent functions associated with symmetric points through an operator involving the Struve function. For functions belonging to this class, we establish estimates for the initial Taylor--Maclaurin coefficients and examine the corresponding Fekete--Szego inequality. Furthermore, several consequences and special cases of the main results are discussed, which illustrate the effectiveness of the proposed approach and lead to improved bounds for the first coefficients. The results obtained here provide an additional link between geometric function theory and special functions and may stimulate further developments in this direction.