Makale detayı · 2020 · article
On Gauss Fibonacci polynomials, on Gauss Lucas polynomials and their applications
Veri kaynağı ayrımı
- YÖKSİSYÖKSİS makale kaydı
- YÖKSİS dergi adıCOMMUNICATIONS IN ALGEBRA
- Katalog eşleşmesi (ISSN)Communications in Algebra
- OpenAlexOpenAlex zenginleştirmesi (özet, atıf, konular)
- Semantic Scholaratıf sayısı (OpenAlex ile birleştirilmez)
Özet
We define the Gauss Fibonacci polynomials. Then we give a formula for the Gauss Fibonacci polynomials by using the Fibonacci polynomials. The Gauss Lucas polynomials are described and the relation with Lucas polynomials are explained. We show that there is a relation between the Gauss Fibonacci polynomials and the Fibonacci polynomials. The Gauss Lucas polynomials are also given by using the Gauss Fibonacci polynomials. Some theorems like Cassini’s theorem are proved for the polynomials. Their Binet’s formulas are obtained. We also define the matrices of the Gauss Fibonacci polynomials and the Gauss Lucas polynomials. We examine properties of the matrices.
Konular
Atıflar
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