Determinantal and permanental representations of convolved Lucas polynomials

Determinantal and permanental representations of convolved Lucas polynomials

In the present paper, we define the convolved generalized Lucas polynomials as an extension of the classical convolved Fibonacci numbers. Then we give some determinantal and permanental representations of this new integer sequence.

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Veröffentlicht in:Applied mathematics and computation 2016-04, Vol.281, p.314-322
Hauptverfasser: Sahina, Adem, Ramirez, Jose L
Format: Artikel
Sprache:eng
Schlagworte:
Computation
Convolved (p, q)-Fibonacci polynomials
Determinantal
Fibonacci numbers
Hessenberg matrices
Integers
Mathematical models
Permanental
Polynomials
Representations
Sequences
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Beschreibung
Zusammenfassung:In the present paper, we define the convolved generalized Lucas polynomials as an extension of the classical convolved Fibonacci numbers. Then we give some determinantal and permanental representations of this new integer sequence.
ISSN:0096-3003
1873-5649
DOI:10.1016/j.amc.2016.01.064