@article{Kang2024, 
author = {Hong Kang},
title = {The power sum of balancing polynomials and their divisible properties},
year = {2024},
journal = {AIMS Mathematics},
volume = {9},
number = {2},
pages = {2684-2694},
keywords = {balancing polynomials, Lucas-balancing polynomials, power sum problem, divisible properties},
url = {https://www.sciopen.com/article/10.3934/math.2024133},
doi = {10.3934/math.2024133},
abstract = {In recent years, many scholars have studied the division properties of polynomials and sequence power sums. In this paper, we use Girard-Waring formula and combinatorial method to study the power sum problem of balancing polynomials and Lucas-balancing polynomials, and then study the division of balancing polynomials and Lucas-balancing polynomials by mathematical induction and the properties of polynomials.}
}