Applications of Lucas-Balancing Polynomials to Estimate the Coefficients Bounds of analytic functions
DOI:
https://doi.org/10.29304/jqcsm.2025.17.32588Keywords:
Bi-univalent, Coefficient boundsAbstract
This work includes studying the existence of the first three coefficients of the Taylor coefficients series and of functions biunivalent related with polynomials are called Lucas Balancing. The existence of these bounds was proven and later used to find bounds on the Fecket-Szegö inequality. We obtained new and previous results by substituting appropriate values for the parameter values. The research topic is one of the new topics in dealing with the mentioned polynomials when associated with bi-univalent functions included in our work classes, namely , and . which are new and defined by the concept of subordination.
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Copyright (c) 2025 Hawra Ali Wahid, Zaniab Aodeh A. Mohmmed
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