On Hybrid Hyper k-Pell, k-Pell–Lucas, and Modified k-Pell Numbers

Autor:	Elen Viviani Pereira Spreafico, Paula Catarino, Paulo Vasco
Jazyk:	angličtina
Rok vydání:	2023
Předmět:	hybrid hyper k-Pell hybrid hyper k-Pell–Lucas hybrid hyper Modified k-Pell numbers generating functions the Binet formula identities Mathematics QA1-939
Zdroj:	Axioms, Vol 12, Iss 11, p 1047 (2023)
Druh dokumentu:	article
ISSN:	2075-1680
DOI:	10.3390/axioms12111047
Popis:	Many different number systems have been the topic of research. One of the recently studied number systems is that of hybrid numbers, which are generalizations of other number systems. In this work, we introduce and study the hybrid hyper k-Pell, hybrid hyper k-Pell–Lucas, and hybrid hyper Modified k-Pell numbers. In order to study these new sequences, we established new properties, generating functions, and the Binet formula of the hyper k-Pell, hyper k-Pell–Lucas, and hyper Modified k-Pell sequences. Thus, we present some algebraic properties, recurrence relations, generating functions, the Binet formulas, and some identities for the hybrid hyper k-Pell, hybrid hyper k-Pell–Lucas, and hybrid hyper Modified k-Pell numbers.
Databáze:	Directory of Open Access Journals
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