Geodesic
Combinatorial interpretations of particular evaluations of complete and elementary symmetric functions
Pietro Mongelli1
1Università "la Sapienza" di Roma
The electronic journal of combinatorics, Tome 19 (2012) no. 1
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The Jacobi-Stirling numbers and the Legendre-Stirling numbers of the first and second kind were first introduced by Everitt et al. (2002) and (2007) in the spectral theory. 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.
DOI : 10.37236/2131
Classification : 05A19, 05E05, 05A30, 11B73, 11P81
Mots-clés : Jacobi-Stirling numbers, Legendre-Stirling numbers, symmetric functions, combinatorial interpretations

Pietro Mongelli  1

1 Università "la Sapienza" di Roma 
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     journal = {The electronic journal of combinatorics},
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Pietro Mongelli. Combinatorial interpretations of particular evaluations of complete and elementary symmetric functions. The electronic journal of combinatorics, Tome 19 (2012) no. 1. doi: 10.37236/2131

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