On Hybrid Hyper k-Pell, k-Pell–Lucas, and Modified k-Pell Numbers
Elen Viviani Pereira Spreafico,
Paula Catarino,
Paulo Vasco
Abstract: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… Show more
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