Bi-Univalent Functions of Complex Order Defined by Hohlov Operator Associated with (\mathcal {P,Q})-Lucas Polynomial

On this study, two new subclasses of the function class \Xi of bi-univalent functions of complex order defined in the open unit disc are introduced and investigated. These subclasses are connected to the Hohlov operator with (\mathcal {P,Q})-Lucas polynomial and meet subordinate criteria. For functions in these new subclasses, we also get estimates for the Taylor-Maclaurin coefficients |a_۲| and |a_۳|. The results are also discussed as having a number of (old or new) repercussions.

کلیدواژه ها:

Analytic functions ، Univalent functions ، Bi-univalent functions ، Bi-starlike and bi-convex functions ، Hohlov operator ، Gaussian hypergeometric function ، (P ، Q)-Lucas polynomial