On The Generalized Leonardo Quaternions and Associated Spinors

In this paper, we introduce and study a new family of sequences called the generalized Leonardo spinors by defining a linear correspondence between the generalized Leonardo quaternions and spinors. We start with defining the generalized Leonardo quaternions and then present their some important proper...

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Bibliographic Details
Published in:Kragujevac Journal of Mathematics 2026, Vol.50 (3), p.425-438
Main Authors: KUMARI, MUNESH, PRASAD, KALIKA, MAHATO, HRISHIKESH, CRUZ CATARINO, PAULA MARIA MACHADO
Format: Article
Language:English
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Summary:In this paper, we introduce and study a new family of sequences called the generalized Leonardo spinors by defining a linear correspondence between the generalized Leonardo quaternions and spinors. We start with defining the generalized Leonardo quaternions and then present their some important properties such as Binet type formula, Catalan’s identity, d’Ocagne’s identity, series sums, etc. We give some interrelations of these quaternions with the Fibonacci and Lucas quaternions. Then, we present the generating functions, sum formulae, various well-known identities, etc. for the Leonardo spinors and show their connection with the Fibonacci and Lucas spinors.
ISSN:1450-9628
2406-3045
DOI:10.46793/KgJMat2603.425K