Evaluates power sums and divisibility properties of Fibonacci and Lucas polynomials, highlighting their relationships.
We consider the power sums, alternating power sums, and product power sums of the bi-periodic Fibonacci and Lucas polynomials by Sury’s polynomial identity. Furthermore, we obtain the divisibility properties for the bi-periodic Fibonacci and Lucas polynomials.
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Tingting Du (2026) studied this question.
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