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arXiv:1111.2817 [math.CO]AbstractReferencesReviewsResources

Combinatorial interpretations of particular evaluations of complete and elementary symmetric functions

Pietro Mongelli

Published 2011-11-11Version 1

The Jacobi-Stirling numbers and the Legendre-Stirling numbers of the first and second kind were first introduced in [6], [7]. In this paper we note that Jacobi-Stirling numbers and Legendre-Stirling numbers are specializations of elementary and complete symmetric functions. We then study combinatorial interpretations of this specialization and obtain new combinatorial interpretations of the Jacobi-Stirling and Legendre-Stirling numbers.

Comments: 22 pages, no figures
Journal: Electr. J. of Combin. 19 (2012), #P60
Categories: math.CO
Subjects: 05A19, 05A05, 05A30, 11P81
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