A class of bi-univalent functions defined by (p, q)-derivative operator subordinate to (m, n)-Lucas polynomials
نویسندگان
1 Department of Information Science and Engineering, Acharya Institute of Technology, Bengaluru- 560 107, Karnataka, India
2 Department of Information Science and Engineering, Acharya Institute of Technology, Bengaluru- 560 107, Karnataka, India
3 Department of Information Science and Engineering, Acharya Institute of Technology, Bengaluru- 560 107, Karnataka, India
doi
10.22075/ijnaa.2024.34951.5218چکیده
We propose a category of normalized analytic functions given by $g(\zeta)=\zeta+\sum\limits_{j=2}^{\infty}d_j\zeta^j$ 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 $|d_2|$ and $|d_3|$ and the Fekete-Szego result. New implications of the primary result, as well as pertinent links to previously published findings, are also provided.
