Augmented monomials in terms of power sums

The problem of base changes for the classical symmetric functions has been solved a long time ago and has been incorporated into most computer software packages for symmetric functions. In this paper, we develop a simple recursive formula for the expansion of the augmented monomial symmetric functio...

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Detalles Bibliográficos
Autor principal: Merca, Mircea
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2015
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4656270/
https://www.ncbi.nlm.nih.gov/pubmed/26636012
http://dx.doi.org/10.1186/s40064-015-1506-5
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author Merca, Mircea
author_facet Merca, Mircea
author_sort Merca, Mircea
collection PubMed
description The problem of base changes for the classical symmetric functions has been solved a long time ago and has been incorporated into most computer software packages for symmetric functions. In this paper, we develop a simple recursive formula for the expansion of the augmented monomial symmetric functions into power sum symmetric functions. As corollaries, we present two algorithms that can be used to expressing the augmented monomial symmetric functions in terms of the power sum symmetric functions.
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spelling pubmed-46562702015-12-03 Augmented monomials in terms of power sums Merca, Mircea Springerplus Research The problem of base changes for the classical symmetric functions has been solved a long time ago and has been incorporated into most computer software packages for symmetric functions. In this paper, we develop a simple recursive formula for the expansion of the augmented monomial symmetric functions into power sum symmetric functions. As corollaries, we present two algorithms that can be used to expressing the augmented monomial symmetric functions in terms of the power sum symmetric functions. Springer International Publishing 2015-11-24 /pmc/articles/PMC4656270/ /pubmed/26636012 http://dx.doi.org/10.1186/s40064-015-1506-5 Text en © Merca. 2015 Open AccessThis article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
spellingShingle Research
Merca, Mircea
Augmented monomials in terms of power sums
title Augmented monomials in terms of power sums
title_full Augmented monomials in terms of power sums
title_fullStr Augmented monomials in terms of power sums
title_full_unstemmed Augmented monomials in terms of power sums
title_short Augmented monomials in terms of power sums
title_sort augmented monomials in terms of power sums
topic Research
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4656270/
https://www.ncbi.nlm.nih.gov/pubmed/26636012
http://dx.doi.org/10.1186/s40064-015-1506-5
work_keys_str_mv AT mercamircea augmentedmonomialsintermsofpowersums

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