The h(x)-Lucas quaternion polynomials
ANNALES MATHEMATICAE ET INFORMATICAE, cilt.47, ss.119-128, 2017 (ESCI, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 47
- Basım Tarihi: 2017
- Dergi Adı: ANNALES MATHEMATICAE ET INFORMATICAE
- Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus, Academic Search Premier, zbMATH
- Sayfa Sayıları: ss.119-128
- Anahtar Kelimeler: Lucas polynomials, recurrences, quaternion, FIBONACCI
- İstanbul Üniversitesi-Cerrahpaşa Adresli: Hayır
Özet
In this paper, we study h(x)-Lucas quaternion polynomials considering several properties involving these polynomials and we present the exponential generating functions and the Poisson generating functions of the h(x)-Lucas quaternion polynomials. Also, by using Binet's formula we give the Cassini's identity, Catalan's identity and d'Ocagne's identity of the h(x)-Lucas quaternion polynomials.