  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.
