Identities related to integer partitions and complete Bell polynomials

• Дата: 2017
• Автори: Mihoubi, Miloud, Belbachir, Hacène
• Формат: Стаття
• Мова: Англійська
• Опубліковано: Lugansk National Taras Shevchenko University 2017
• Теми: complete Bell polynomials; integer partitions; \(q\)-binomial Theorem; 11P81; 05A17
• Онлайн доступ: 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 \(n\)...