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Osječki matematički list, Vol. 26 No. 1, 2026.

Professional paper

Fibonacci and Lucas polynomials

Mihaela Ribičić Penava ; Fakultet primijenjene matematike i informatike, Sveučilište J. J. Strossmayera u Osijeku *
Karla Kajan ; studentica Fakultet primijenjene matematike i informatike, Sveučilište J. J. Strossmayera u Osijeku

* Corresponding author.

Full text: croatian pdf 706 Kb

page 55-70

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Abstract

In this paper, the Fibonacci and Lucas sequences and numbers are defined, and the associated Fibonacci and Lucas polynomials are introduced. In addition, the fundamental properties of Fibonacci and Lucas polynomials are studied, including recurrence relations, explicit formulas, and identities connecting them.

Keywords

Fibonacci numbers, Fibonacci polynomials, Lucas numbers, Lucas polynomials

Hrčak ID:

351472

URI

https://hrcak.srce.hr/351472

Publication date:

17.12.2025.

Article data in other languages: croatian

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