Identities related to integer partitions and complete Bell polynomials

• Datum: 2017
• Hauptverfasser: Mihoubi, Miloud, Belbachir, Hacène
• Format: Artikel
• Sprache: Englisch
• Veröffentlicht: Lugansk National Taras Shevchenko University 2017
• Schlagworte: complete Bell polynomials; integer partitions; \(q\)-binomial Theorem; 11P81; 05A17
• Online Zugang: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/91
• Назва журналу: Algebra and Discrete Mathematics

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 \(n\)...