Identities related to integer partitions and complete Bell polynomials
Using the (universal) Theorem for the integer partitions and the \(q\)-binomial Theorem, we give arithmetical and combinatorial identities for the complete Bell polynomials as generating functions for the number of partitions of a given integer into \(k\) parts and the number of partitions of \(n\)...
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| Datum: | 2017 |
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| Format: | Artikel |
| Sprache: | English |
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Lugansk National Taras Shevchenko University
2017
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| Online Zugang: | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/91 |
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| Назва журналу: | Algebra and Discrete Mathematics |
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admjournalluguniveduua-article-912017-10-11T02:09:05Z Identities related to integer partitions and complete Bell polynomials Mihoubi, Miloud Belbachir, Hacène complete Bell polynomials, integer partitions, \(q\)-binomial Theorem 11P81, 05A17 Using the (universal) Theorem for the integer partitions and the \(q\)-binomial Theorem, we give arithmetical and combinatorial identities for the complete Bell polynomials as generating functions for the number of partitions of a given integer into \(k\) parts and the number of partitions of \(n\) into a given number of parts. Lugansk National Taras Shevchenko University 2017-10-07 Article Article Peer-reviewed Article application/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/view/91 Algebra and Discrete Mathematics; Vol 24, No 1 (2017) 2415-721X 1726-3255 en https://admjournal.luguniv.edu.ua/index.php/adm/article/view/91/pdf Copyright (c) 2017 Algebra and Discrete Mathematics |
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Algebra and Discrete Mathematics |
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| datestamp_date |
2017-10-11T02:09:05Z |
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OJS |
| language |
English |
| topic |
complete Bell polynomials integer partitions \(q\)-binomial Theorem 11P81 05A17 |
| spellingShingle |
complete Bell polynomials integer partitions \(q\)-binomial Theorem 11P81 05A17 Mihoubi, Miloud Belbachir, Hacène Identities related to integer partitions and complete Bell polynomials |
| topic_facet |
complete Bell polynomials integer partitions \(q\)-binomial Theorem 11P81 05A17 |
| format |
Article |
| author |
Mihoubi, Miloud Belbachir, Hacène |
| author_facet |
Mihoubi, Miloud Belbachir, Hacène |
| author_sort |
Mihoubi, Miloud |
| title |
Identities related to integer partitions and complete Bell polynomials |
| title_short |
Identities related to integer partitions and complete Bell polynomials |
| title_full |
Identities related to integer partitions and complete Bell polynomials |
| title_fullStr |
Identities related to integer partitions and complete Bell polynomials |
| title_full_unstemmed |
Identities related to integer partitions and complete Bell polynomials |
| title_sort |
identities related to integer partitions and complete bell polynomials |
| description |
Using the (universal) Theorem for the integer partitions and the \(q\)-binomial Theorem, we give arithmetical and combinatorial identities for the complete Bell polynomials as generating functions for the number of partitions of a given integer into \(k\) parts and the number of partitions of \(n\) into a given number of parts. |
| publisher |
Lugansk National Taras Shevchenko University |
| publishDate |
2017 |
| url |
https://admjournal.luguniv.edu.ua/index.php/adm/article/view/91 |
| work_keys_str_mv |
AT mihoubimiloud identitiesrelatedtointegerpartitionsandcompletebellpolynomials AT belbachirhacene identitiesrelatedtointegerpartitionsandcompletebellpolynomials |
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2025-12-02T15:28:38Z |
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2025-12-02T15:28:38Z |
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1850411909648482304 |