Applications of -Borel distribution series involving -Gegenbauer polynomials to subclasses of bi-univalent functions.

This study introduces a new class of bi-univalent functions in the open disk using -Borel distribution series and -Gegenbauer polynomials. It provides estimates for the Taylor coefficients and for this family of functions, as well as solutions for the Fekete-Szegö functional problems associated with this subclass. The study presents various innovative findings that result from the unique parameters used in the main results.