Bi-Bazilevič functions of order ϑ+iδ associated with (p,q)− Lucas polynomials

Abstract

By means of(p,q)− Lucas polynomials, a class of Bazilevič functions of order ϑ+iδ in the open unit disk U of analytic and bi-univalent functions is introduced. Further, we estimate coefficients bounds and Fekete-Szegö inequalities for functions belonging to this class. Several corollaries and consequences of the main results are also obtained.

Keywords

• bazilevič functions
• lucas polynomial
• analytic functions
• univalent functions
• bi-univalent functions