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A New Look at the Coefficients of a Reciprocal Generating Function
We study a special property of free cumulants. We prove that coefficients of a reciprocal generating function correspond to “free cumulants with the first two elements in the same block.”
| Autor principal: | |
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| Formato: | Online Artículo Texto |
| Lenguaje: | English |
| Publicado: |
Hindawi Publishing Corporation
2014
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| Materias: | |
| Acceso en línea: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4164819/ https://www.ncbi.nlm.nih.gov/pubmed/25254253 http://dx.doi.org/10.1155/2014/613947 |
| _version_ | 1782335015592394752 |
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| author | Ejsmont, Wiktor |
| author_facet | Ejsmont, Wiktor |
| author_sort | Ejsmont, Wiktor |
| collection | PubMed |
| description | We study a special property of free cumulants. We prove that coefficients of a reciprocal generating function correspond to “free cumulants with the first two elements in the same block.” |
| format | Online Article Text |
| id | pubmed-4164819 |
| institution | National Center for Biotechnology Information |
| language | English |
| publishDate | 2014 |
| publisher | Hindawi Publishing Corporation |
| record_format | MEDLINE/PubMed |
| spelling | pubmed-41648192014-09-24 A New Look at the Coefficients of a Reciprocal Generating Function Ejsmont, Wiktor ScientificWorldJournal Research Article We study a special property of free cumulants. We prove that coefficients of a reciprocal generating function correspond to “free cumulants with the first two elements in the same block.” Hindawi Publishing Corporation 2014 2014-08-28 /pmc/articles/PMC4164819/ /pubmed/25254253 http://dx.doi.org/10.1155/2014/613947 Text en Copyright © 2014 Wiktor Ejsmont. https://creativecommons.org/licenses/by/3.0/ This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. |
| spellingShingle | Research Article Ejsmont, Wiktor A New Look at the Coefficients of a Reciprocal Generating Function |
| title | A New Look at the Coefficients of a Reciprocal Generating Function |
| title_full | A New Look at the Coefficients of a Reciprocal Generating Function |
| title_fullStr | A New Look at the Coefficients of a Reciprocal Generating Function |
| title_full_unstemmed | A New Look at the Coefficients of a Reciprocal Generating Function |
| title_short | A New Look at the Coefficients of a Reciprocal Generating Function |
| title_sort | new look at the coefficients of a reciprocal generating function |
| topic | Research Article |
| url | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4164819/ https://www.ncbi.nlm.nih.gov/pubmed/25254253 http://dx.doi.org/10.1155/2014/613947 |
| work_keys_str_mv | AT ejsmontwiktor anewlookatthecoefficientsofareciprocalgeneratingfunction AT ejsmontwiktor newlookatthecoefficientsofareciprocalgeneratingfunction |