Vieta-Pell and Vieta-Pell-Lucas polynomials
ADVANCES IN DIFFERENCE EQUATIONS, 2013 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Basım Tarihi: 2013
- Doi Numarası: 10.1186/1687-1847-2013-224
- Dergi Adı: ADVANCES IN DIFFERENCE EQUATIONS
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Anahtar Kelimeler: Vieta-Pell, Vieta-Pell-Lucas polynomials
- Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
- Gazi Üniversitesi Adresli: Evet
Özet
In the present paper, we introduce the recurrence relation of Vieta-Pell and Vieta-Pell-Lucas polynomials. We obtain the Binet form and generating functions of Vieta-Pell and Vieta-Pell-Lucas polynomials and define their associated sequences. Moreover, we present some differentiation rules and finite summation formulas.