d-Tribonacci Polynomials and Their Matrix Representations

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Kuloğlu B., Özkan E.

WSEAS TRANSACTIONS ON MATHEMATICS, cilt.22, ss.204-212, 2023 (Scopus) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 22
  • Basım Tarihi: 2023
  • Doi Numarası: 10.37394/23206.2023.22.25
  • Dergi Adı: WSEAS TRANSACTIONS ON MATHEMATICS
  • Derginin Tarandığı İndeksler: Scopus, INSPEC, zbMATH
  • Sayfa Sayıları: ss.204-212
  • Erzincan Binali Yıldırım Üniversitesi Adresli: Evet

Özet

In 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, which is a new generalization of this number sequence, has been obtained by considering Pascal matrix. With the help of Pascal matrix, two kinds of factors of d-Tribonacci polynomials were found. Also, infinite d-Tribonacci polynomials matrix and the inverses of these polynomials were found.