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...

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Bibliographic Details
Published in:Algebra and Discrete Mathematics
Date:2017
Main Authors: Mihoubi, M., Belbachir, H.
Format: Article
Language:English
Published: Інститут прикладної математики і механіки НАН України 2017
Online Access:https://nasplib.isofts.kiev.ua/handle/123456789/156260
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this: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.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine