The (s; t)-padovan quaternions matrix sequence | [Punjab University Journal of Mathematics • 2020]

Author(s):

1. Renata Passos Machado Vieira: Department of Mathematics, Federal Institute of Education, Science and Technology of the State of Ceara, Brazil

2. Francisco Regis Vieira Alves: Department of Mathematics, Federal Institute of Education, Science and Technology of the State of Ceara, Brazil

3. Paula Maria Machado Cruz Catarino: Department of Mathematics, University of Tras-os-Montes and Alto Douro, Portugal

Abstract:

In this paper, we will introduce the (s; t)-Padovan quaternions matrix sequence. Starting the studies based on the generalization of the Padovan quaternion coefficients in relation to their recurrence, their matrix sequence is then defined. Some mathematical theorems are discussed and the Binet formula and the generating function of this matrix sequence are studied.

Page(s): 1-9

DOI: DOI not available

Published: Journal: Punjab University Journal of Mathematics, Volume: 52, Issue: 11, Year: 2020

Keywords:

matrix sequence , Padovan , quaternions

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