The Properties of Binomial Transforms for Modified (s,t)-Pell Matrix Sequence

Autor:	Ozan Haklıdır, Şükran Uygun
Jazyk:	angličtina
Rok vydání:	2024
Předmět:	binet formula binomial transforms generating function modified (s t)-pell sequence Mathematics QA1-939
Zdroj:	Communications in Advanced Mathematical Sciences, Vol 7, Iss 3, Pp 168-177 (2024)
Druh dokumentu:	article
ISSN:	2651-4001
DOI:	10.33434/cams.1524027
Popis:	In this study, we investigate a generalization of the modified Pell sequence, which is called $(s,t)$-modified Pell sequence. By considering this sequence, we define the matrix sequence whose elements are $(s,t)$-modified Pell numbers. Furthermore, we define various binomial transforms for modified $ (s,t)$-Pell matrix sequence. Finally, we give some relationships for $(s,t)$-modified Pell matrix sequences such as Binet formulas, the generating functions, and some sum formulas.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/777a1c9076c047489f3cd5dbe5ad5a8b Zobrazit plný text záznamu View record in DOAJ