The bi-periodic Horadam sequence and some perturbed tridiagonal 2-Toeplitz matrices: A unified approach

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Anđelić M., da Fonseca C. M., YILMAZ F.

Heliyon, cilt.8, sa.2, 2022 (ESCI, Scopus)

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 8 Sayı: 2
  • Basım Tarihi: 2022
  • Doi Numarası: 10.1016/j.heliyon.2022.e08863
  • Dergi Adı: Heliyon
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus, CAB Abstracts, Veterinary Science Database, Directory of Open Access Journals
  • Anahtar Kelimeler: Chebyshev polynomials of second kind, Determinant, Horadam sequence, Tridiagonal matrices
  • Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
  • Ankara Hacı Bayram Veli Üniversitesi Adresli: Evet

Özet

© 2022 The Author(s)In this note we consider the so-called bi-periodic Horadam sequences. Explicit formulas in terms of Chebyshev polynomials of the second kind and the determinant of some perturbed tridiagonal 2-Toeplitz matrices are established. Several illustrative examples are provided as well.