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The (s; t)-padovan quaternions matrix sequence

Author(s)
Renata Passos Machado Vieira Department of Mathematics, Federal Institute of Education, Science and Technology of the State of Ceara, Brazil
Francisco Regis Vieira Alves Department of Mathematics, Federal Institute of Education, Science and Technology of the State of Ceara, Brazil
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.
Publication Details
Page(s) 1-9
DOI DOI not available
Published Journal: Punjab University Journal of Mathematics, Volume: 52, Issue: 11, Year: 2020

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Keywords
matrix sequence, Padovan, quaternions
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