The binomial sums for four types of polynomials involving floor and ceiling functions

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Abstract

Several binomial sums are established for the Pell polynomials and the Pell-Lucas polynomials, as well as two types of the Chebyshev polynomials and the Fibonacci-Lucas numbers, which include two special cases proposed by Hideyuki Othsuka in 2024.

Keywords

the binomial theorem / Pell polynomials / Pell-Lucas polynomials / the first kind of Chebyshev polynomials / the second kind of Chebyshev polynomials

CHANGE HISTORY

A Correction to this paper has been published:
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This article has been retracted.Please see the Retraction Notice for more detail:
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