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 into a given...
Gespeichert in:
| Veröffentlicht in: | Algebra and Discrete Mathematics |
|---|---|
| Datum: | 2017 |
| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | Englisch |
| Veröffentlicht: |
Інститут прикладної математики і механіки НАН України
2017
|
| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/156260 |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | Identities related to integer partitions and complete Bell polynomials / M. Mihoubi, H. Belbachir // Algebra and Discrete Mathematics. — 2017. — Vol. 24, № 1. — С. 158-168. — Бібліогр.: 20 назв. — англ. |
Institution
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862746706646401024 |
|---|---|
| author | Mihoubi, M. Belbachir, H. |
| author_facet | Mihoubi, M. Belbachir, H. |
| citation_txt | Identities related to integer partitions and complete Bell polynomials / M. Mihoubi, H. Belbachir // Algebra and Discrete Mathematics. — 2017. — Vol. 24, № 1. — С. 158-168. — Бібліогр.: 20 назв. — англ. |
| collection | DSpace DC |
| container_title | Algebra and Discrete Mathematics |
| 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 | 2025-12-07T20:47:07Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-156260 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1726-3255 |
| language | English |
| last_indexed | 2025-12-07T20:47:07Z |
| publishDate | 2017 |
| publisher | Інститут прикладної математики і механіки НАН України |
| record_format | dspace |
| spelling | Mihoubi, M. Belbachir, H. 2019-06-18T10:26:06Z 2019-06-18T10:26:06Z 2017 Identities related to integer partitions and complete Bell polynomials / M. Mihoubi, H. Belbachir // Algebra and Discrete Mathematics. — 2017. — Vol. 24, № 1. — С. 158-168. — Бібліогр.: 20 назв. — англ. 1726-3255 2010 MSC:11P81, 05A17. https://nasplib.isofts.kiev.ua/handle/123456789/156260 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. The authors would like to thank the anonymous referee for careful reading of the manuscript. en Інститут прикладної математики і механіки НАН України Algebra and Discrete Mathematics Identities related to integer partitions and complete Bell polynomials Article published earlier |
| spellingShingle | Identities related to integer partitions and complete Bell polynomials Mihoubi, M. Belbachir, H. |
| 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 |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/156260 |
| work_keys_str_mv | AT mihoubim identitiesrelatedtointegerpartitionsandcompletebellpolynomials AT belbachirh identitiesrelatedtointegerpartitionsandcompletebellpolynomials |