ALGEBRAIC EQUATIONS WITH LINEAR SHIFT OPERATORS ON SEQUENCES

ALGEBRAIC EQUATIONS WITH LINEAR SHIFT OPERATORS ON SEQUENCES

In this note we recall (see also [8]) the structure of all recurrent sequences which satisfy a fixed recurrence relation, with entries in a perfect field. As a consequence of these considerations we give a reasonable proof for the known result that the Hadamard product of two recurrent sequences is...

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Main Author: SEVER ANGEL POPESCU
Format: Article
Language:English
Published: Conspress 2016-04-01
Series:Romanian Journal of Mathematics and Computer Science
Subjects:
recurrent sequence
shift operator
algebraic equation
Hadamard product
Online Access:http://www.rjm-cs.ro/APopescu-2016.pdf
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spelling doaj-e932892703534b419d5c4b3ffeaf18402020-11-24T22:56:00ZengConspressRomanian Journal of Mathematics and Computer Science2247-689X2016-04-01612538ALGEBRAIC EQUATIONS WITH LINEAR SHIFT OPERATORS ON SEQUENCESSEVER ANGEL POPESCU0Technical University of Civil Engineering Bucharest, Department of Mathematics and Computer Science, Lacul Tei Bvd. 122-124, Bucharest 020396, OP 38, Romania, E-mail address: angel.popescu@gmail.comIn this note we recall (see also [8]) the structure of all recurrent sequences which satisfy a fixed recurrence relation, with entries in a perfect field. As a consequence of these considerations we give a reasonable proof for the known result that the Hadamard product of two recurrent sequences is also a recurrent sequence.http://www.rjm-cs.ro/APopescu-2016.pdfrecurrent sequenceshift operatoralgebraic equationHadamard product
collection DOAJ
language English
format Article
sources DOAJ
author SEVER ANGEL POPESCU
spellingShingle SEVER ANGEL POPESCU
ALGEBRAIC EQUATIONS WITH LINEAR SHIFT OPERATORS ON SEQUENCES
Romanian Journal of Mathematics and Computer Science
recurrent sequence
shift operator
algebraic equation
Hadamard product
author_facet SEVER ANGEL POPESCU
author_sort SEVER ANGEL POPESCU
title ALGEBRAIC EQUATIONS WITH LINEAR SHIFT OPERATORS ON SEQUENCES
title_short ALGEBRAIC EQUATIONS WITH LINEAR SHIFT OPERATORS ON SEQUENCES
title_full ALGEBRAIC EQUATIONS WITH LINEAR SHIFT OPERATORS ON SEQUENCES
title_fullStr ALGEBRAIC EQUATIONS WITH LINEAR SHIFT OPERATORS ON SEQUENCES
title_full_unstemmed ALGEBRAIC EQUATIONS WITH LINEAR SHIFT OPERATORS ON SEQUENCES
title_sort algebraic equations with linear shift operators on sequences
publisher Conspress
series Romanian Journal of Mathematics and Computer Science
issn 2247-689X
publishDate 2016-04-01
description In this note we recall (see also [8]) the structure of all recurrent sequences which satisfy a fixed recurrence relation, with entries in a perfect field. As a consequence of these considerations we give a reasonable proof for the known result that the Hadamard product of two recurrent sequences is also a recurrent sequence.
topic recurrent sequence
shift operator
algebraic equation
Hadamard product
url http://www.rjm-cs.ro/APopescu-2016.pdf
work_keys_str_mv AT severangelpopescu algebraicequationswithlinearshiftoperatorsonsequences
_version_ 1725655333281464320

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