On the complex factorization of the Lucas sequence

Burcu Bozkurt Ş., Ylmaz F., Bozkurt D.

Applied Mathematics Letters, cilt.24, sa.8, ss.1317-1321, 2011 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 24 Sayı: 8
  • Basım Tarihi: 2011
  • Doi Numarası: 10.1016/j.aml.2011.03.001
  • Dergi Adı: Applied Mathematics Letters
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.1317-1321
  • Anahtar Kelimeler: Determinant, Lucas sequence, Tridiagonal matrix
  • Ankara Hacı Bayram Veli Üniversitesi Adresli: Hayır

Özet

In this paper, firstly we present a connection between determinants of tridiagonal matrices and the Lucas sequence. Secondly, we obtain the complex factorization of Lucas sequence by considering how the Lucas sequence can be connected to Chebyshev polynomials by determinants of a sequence of matrices. © 2011 Elsevier Ltd. All rights reserved.