One-Parameter Generalization of Dual-Hyperbolic Jacobsthal Numbers

In this paper, we introduce one-parameter generalization of dual-hyperbolic Jacobsthal numbers – dual-hyperbolic r-Jacobsthal numbers. We present some properties of them, among others the Binet formula, Catalan, Cassini, and d’Ocagne identities. Moreover, we give the generating function and summatio...

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Bibliographic Details
Main Authors: Bród Dorota, Szynal-Liana Anetta, Włoch Iwona
Format: Article
Language:English
Published: Sciendo 2023-09-01
Series:Annales Mathematicae Silesianae
Subjects:
Online Access:https://doi.org/10.2478/amsil-2023-0005