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 (?,?) -derivative operator and the concept of subordination to generalized Laguerre polynomials ???(?) , which satisfy the differential equation ???+(1+???)??+??=0, with 1+?>0 , ??? , and ??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 |?2| and |?3| and for the Fekete?Szeg? functional |?3???22| 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 (?,?) -calculus.