On Gaussian Family of Generalized Fibonacci Polynomials
Symmetry, cilt.18, sa.10, 2026 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 18 Sayı: 10
- Basım Tarihi: 2026
- Doi Numarası: 10.3390/sym18101667
- Dergi Adı: Symmetry
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, INSPEC, zbMATH, Academic Search Ultimate (EBSCO), Materials Science & Engineering Collection (ProQuest), Technology Collection (ProQuest)
- Anahtar Kelimeler: combinatorial identities, Gaussian generalized Fibonacci polynomials, generalized Fibonacci polynomials, matrices
- Kocaeli Üniversitesi Adresli: Evet
Özet
In this paper, we define Gaussian generalized Fibonacci polynomials as a new member of the family of Gaussian polynomials. We examine in detail the fundamental algebraic and structural properties of these polynomials, which are defined using matrix properties, and present the Binet-type formula and recurrence relations. Furthermore, we give some identities involving these polynomials. Finally, we derive generating and exponential generating functions of these polynomials.