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

open access: yesElectronic Research Archive
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.
Qingjie Chai, Hanyu Wei
doaj   +1 more source

New results of unified Chebyshev polynomials

open access: yesAIMS Mathematics
This paper presents a new approach for the unified Chebyshev polynomials (UCPs). It is first necessary to introduce the three basic formulas of these polynomials, namely analytic form, moments, and inversion formulas, which will later be utilized to ...
Waleed Mohamed Abd-Elhameed
doaj   +1 more source

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