Combinatorial interpretations of particular evaluations of complete and elementary symmetric functions

Details Combinatorial interpretations of particular evaluations of complete and elementary symmetric functions Combinatorial interpretations of particular evaluations of complete and elementary symmetric functions

2011-11-11

arxiv.org/abs/1111.2817v1

Electr. J. of Combin. 19 (2012), #P60

Mathematics

Combinatorics

22 pages, no figures

Scientific paper

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.

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