Generalized Lucas polynomials and relationships between the Fibonacci polynomials and Lucas polynomials

Özkan E., Altun İ.

COMMUNICATIONS IN ALGEBRA, cilt.47, sa.10, ss.4020-4030, 2019 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 47 Sayı: 10
  • Basım Tarihi: 2019
  • Doi Numarası: 10.1080/00927872.2019.1576186
  • Dergi Adı: COMMUNICATIONS IN ALGEBRA
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED)
  • Sayfa Sayıları: ss.4020-4030
  • Anahtar Kelimeler: Fibonacci numbers, Lucas numbers, Fibonacci polynomials, Lucas polynomials
  • Erzincan Binali Yıldırım Üniversitesi Adresli: Evet

Özet

In this article, we find elements of the Lucas polynomials by using two matrices. We extend the study to the n-step Lucas polynomials. Then the Lucas polynomials and their relationship are generalized in the paper. Furthermore, we give relationships between the Fibonacci polynomials and the Lucas polynomials.