On split r-Jacobsthal quaternions | Zendy

Dorota Bród | Zendy

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On split r-Jacobsthal quaternions

Author(s) -

Dorota Bród

Publication year - 2020

Publication title -

annales universitatis mariae curie-sklodowska sectio a – mathematica

Language(s) - English

Resource type - Journals

eISSN - 2083-7402

pISSN - 0365-1029

DOI - 10.17951/a.2020.74.1.1-14

Subject(s) - quaternion , generalization , identity (music) , mathematics , convolution (computer science) , catalan number , algebra over a field , combinatorics , pure mathematics , computer science , mathematical analysis , geometry , artificial intelligence , physics , artificial neural network , acoustics

In this paper we introduce a one-parameter generalization of the split Jacobsthal quaternions, namely the split r-Jacobsthal quaternions. We give a generating function, Binet formula for these numbers. Moreover, we obtain some identities, among others Catalan, Cassini identities and convolution identity for the split r-Jacobsthal quaternions.

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