@article{Hussen2024, 
author = {Abdulmtalb Hussen and Mohammed S. A. Madi and Abobaker M. M. Abominjil},
title = {Bounding coefficients for certain subclasses of bi-univalent functions related to Lucas-Balancing polynomials},
year = {2024},
journal = {AIMS Mathematics},
volume = {9},
number = {7},
pages = {18034-18047},
keywords = {balancing polynomial, Lucas-Balancing polynomials, bi-univalent functions, analytic functions, Taylor-Maclaurin coefficients, Fekete-Szegö functional},
url = {https://www.sciopen.com/article/10.3934/math.2024879},
doi = {10.3934/math.2024879},
abstract = {In this paper, we introduced two novel subclasses of bi-univalent functions,              M              Σ        (  α  ,      B    (  x  ,  ξ  )  ) and              H              Σ        (  α  ,  μ  ,      B    (  x  ,  ξ  )  ),  utilizing Lucas-Balancing polynomials. Within these function classes, we established bounds for the Taylor-Maclaurin coefficients        |          a      2        |   and        |          a      3        |  , addressing the Fekete-Szegö functional problems specific to functions within these new subclasses. Moreover, we illustrated how our primary findings could lead to various new outcomes through parameter specialization.}
}