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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Bibliographic Details
Date:2017
Main Authors: Mihoubi, Miloud, Belbachir, Hacène
Format: Article
Language:English
Published: Lugansk National Taras Shevchenko University 2017
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Online Access:https://admjournal.luguniv.edu.ua/index.php/adm/article/view/91
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Journal Title:Algebra and Discrete Mathematics

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Algebra and Discrete Mathematics