Determinantal and permanental representations of companion sequences associated to the r-Fibonacci sequence
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Published:2022-02-14
Issue:1
Volume:28
Page:64-74
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ISSN:1310-5132
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Container-title:Notes on Number Theory and Discrete Mathematics
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language:
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Short-container-title:NNTDM
Author:
Belbachir HacèneORCID,
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Djellas Ihab-EddineORCID,
Abstract
Recently companion sequences of r-Fibonacci sequence were defined. The aim of this paper is to give some determinantal and permanental representations of these sequences via Hessenberg matrices. Several representations of classical sequences and polynomials are established. We conclude by using our representations to give n consecutive terms of companion sequences simultaneously.
Publisher
Prof. Marin Drinov Publishing House of BAS (Bulgarian Academy of Sciences)