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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| Дата: | 2017 |
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| Автори: | , |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Lugansk National Taras Shevchenko University
2017
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| Теми: | |
| Онлайн доступ: | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/91 |
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| Назва журналу: | Algebra and Discrete Mathematics |
Репозитарії
Algebra and Discrete Mathematics| _version_ | 1856543325666934784 |
|---|---|
| author | Mihoubi, Miloud Belbachir, Hacène |
| author_facet | Mihoubi, Miloud Belbachir, Hacène |
| author_sort | Mihoubi, Miloud |
| baseUrl_str | |
| collection | OJS |
| datestamp_date | 2017-10-11T02:09:05Z |
| 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. |
| first_indexed | 2025-12-02T15:28:38Z |
| format | Article |
| id | admjournalluguniveduua-article-91 |
| institution | Algebra and Discrete Mathematics |
| language | English |
| last_indexed | 2025-12-02T15:28:38Z |
| publishDate | 2017 |
| publisher | Lugansk National Taras Shevchenko University |
| record_format | ojs |
| spelling | 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 |
| spellingShingle | complete Bell polynomials integer partitions \(q\)-binomial Theorem 11P81 05A17 Mihoubi, Miloud Belbachir, Hacène Identities related to integer partitions and complete Bell polynomials |
| title | 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_short | Identities related to integer partitions and complete Bell polynomials |
| title_sort | identities related to integer partitions and complete bell polynomials |
| topic | complete Bell polynomials integer partitions \(q\)-binomial Theorem 11P81 05A17 |
| topic_facet | complete Bell polynomials integer partitions \(q\)-binomial Theorem 11P81 05A17 |
| url | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/91 |
| work_keys_str_mv | AT mihoubimiloud identitiesrelatedtointegerpartitionsandcompletebellpolynomials AT belbachirhacene identitiesrelatedtointegerpartitionsandcompletebellpolynomials |