A New Subclass of Bi-Univalent Functions Defined by Subordination to Laguerre Polynomials and the (p, q)-Derivative Operator

In this work, we introduce a new subclass of bi-univalent functions using the (p, q)-derivative operator and the concept of subordination to generalized Laguerre polynomials L?t (k), which satisfy the differential equation ky?? + (1 + ? ? k)y? + ty = 0, with 1 + ? > 0, k ? R, and t ? 0. We focus on functions that blend the geometric features of starlike and convex mappings in a symmetric setting. The main goal is to estimate the initial coefficients of functions in this new class. Specifically, we obtain sharp upper bounds for |a2| and |a3| and for the Fekete?Szeg? functional |a3 ? ?a22 | for some real number ?. In the final section, we explore several special cases that arise from our general results. These results contribute to the ongoing development of bi-univalent function theory in the context of (p, q)-calculus.