A class of bi-univalent functions defined by (p, q)-derivative operator subordinate to (m, n)-Lucas polynomials

We propose a category of normalized analytic functions given by g(\zeta)=\zeta+\sum\limits_{j=۲}^{\infty}d_j\zeta^j that are bi-univalent in the unit disc defined by (p,q)-derivative operator, subordinate to (m,n)-Lucas polynomials. For members of this family, we determine estimates for the coefficients |d_۲| and |d_۳| and the Fekete-Szego result. New implications of the primary result, as well as pertinent links to previously published findings, are also provided.

کلیدواژه ها:

Bi-univalent function ، (p ، q)-derivative operator ، (m ، n)-Lucas polynomial ، Fekete-Szeg\"o problem