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- Title
Several determinantal expressions of generalized Tribonacci polynomials and sequences.
- Authors
Kızılateş, Can; Wei-Shih Du; Feng Qi
- Abstract
In the paper, the authors present several explicit formulas for the (p; q; r)- Tribonacci polynomials and generalized Tribonacci sequences in terms of the Hessenberg determinants and, consequently, derive several explicit formulas for the Tribonacci numbers and polynomials, the Tribonacci-Lucas numbers, the Perrin numbers, the Padovan (Cordonnier) numbers, the Van der Laan numbers, the Narayana numbers, the third order Jacobsthal numbers, and the third order Jacobsthal-Lucas numbers in terms of special Hessenberg determinants.
- Subjects
DIFFERENTIABLE functions; DETERMINANTS (Mathematics); POLYNOMIALS; DETERMINANTAL varieties; INTEGERS
- Publication
Tamkang Journal of Mathematics, 2022, Vol 53, Issue 3, p277
- ISSN
0049-2930
- Publication type
Article
- DOI
10.5556/j.tkjm.53.2022.3743