Abstract
In this paper we introduce the hyperbolic k-Pell functions and new classes of quaternions associated with this type of functions are presented. In addition, the Binet formulas, generating functions and some properties of these functions and quaternions sequences are studied. Keywords: Quaternions, Hyperbolic functions, k-Pell sequence, Binet’s identity, Generating functions. MSC: 11B37, 11R52, 05A15, 11B83.
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