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Making use of a generalized bivariate Fibonacci polynomials, we propose a family of normalized regular functions ψ (ζ) = ζ + d2ζ2 + d3ζ3 + · · ·, which are bi-univalent in the disc ζ ∈ C: |ζ| < 1 involving (p, q) -derivative operator. We find estimates on the coefficients |d2|, |d3| and the Fekete-Szeg¨o inequality for members of this family. New implications of the primary result as well as pertinent links to previously published findings are also provided.
Frasin et al. (Thu,) studied this question.