On 3-parameter generalized quaternions with k-pell-lucas numbers as components

Abstract At present, numerous research studies have been conducted on Fibonacci quaternions and their generalizations. Recently, Şentürk and Ünal introduced 3-parameter generalized quaternions. This paper introduces the k-Pell-Lucas 3-parameter generalized quaternions and explores their basic properties and Binet formula. Moreover, by using the Binet formula, some generalized forms of famous sequence identities are given.