Stirling numbers and integer partitions

Article

Stirling numbers and integer partitions

Published in: Quaestiones Mathematicae
Volume 39 , issue 4 , 2016 , pages: 457–469
DOI: 10.2989/16073606.2015.1096859
Author(s): Mircea Merca Department of Mathematics, Romania
Keywords: 05E05 , 05A17 , 05A18 , 11B73 , 65F30 , 05E05 , 05A17 , 05A18 , 11B73 , 65F30
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Abstract

In this paper, we prove that the Stirling numbers of both kinds can be written as sums over integer partitions. As corollaries, we rewrite some identities with Stirling numbers of both kinds without Stirling numbers.
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