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oai:ebyu-rdlopen.rawdatalibrary.net:ebyu/130002026-10-18T20:27:50Zopenairedrivercom_ebyu_10000col_ebyu_10001

d-Tribonacci Polynomials and Their Matrix RepresentationsKuloğlu, BaharÖzkan, Engind-Tribonacci polynomialsGenerating functionPascal matrixRiordan matrixIn this study, we define d-Tribonacci polynomials. Some combinatorial properties of the d-Tribonacci polynomials with matrix representations are obtained with the help of Riordan arrays. In addition, d-Tribonacci number sequence, a new generalization of this number sequence, is obtained by considering the Pascal matrix. With the help of the Pascal matrix, two kinds of factors of d-Tribonacci polynomials are found. Also, infinite d-Tribonacci polynomials matrix and the inverses of these polynomials are found. © 2022 World Scientific and Engineering Academy and Society. All rights reserved.World Scientific and Engineering Academy and Society2022Articlehttps://rdlopen.rawdatalibrary.net/r/ebyu/13000https://doi.org/10.37394/23206.2023.22.251109-2769enWSEAS Transactions on Mathematicsinfo:eu-repo/semantics/openAccessinfo:eu-repo/semantics/articlehttps://ebyu-rdlopen.rawdatalibrary.net/tr/items/ebyu/13000