Generalized Legendre-Stirling Numbers

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References

[1] Mansour, T. (2012) Combinatorics of Set Partitions. Discrete Mathematics and Its Applications Series, Chapman and Hall/CRC an Imprint of Taylor and Francis LLC.

[2] Stanley, R. (2012) Enumerative Combinatorics. In Cambridge Studies in Advanced Mathematics, Cambridge University Press, Cambridge, Vol. 49.

[3] Everitt, W.N., Littlejohn, L.L. and Wellman, R. (2002) Legendre Polynomials, Legendre-Stirling Numbers, and the Left-Definite Spectral Analysis of the Legendre Differential Expression. Journal of Computational and Applied Mathematics, 148, 213-238.

http://dx.doi.org/10.1016/S0377-0427(02)00582-4

[4] Andrews, G.E. and Littlejohn, L.L. (2009) A Combinatorial Interpretation of the Legendre-Stirling Numbers. Proceedings of the American Mathematical Society, 137, 2581-2590.

[5] Mongelli, P. (2012) Combinatorial Interpretations of Particular Evaluations of Complete and Elementary Symmetric Functions. Electronic Journal of Combinatorics, 19, #P60.

[6] Benjamin, A. and Quinn, J. (2003) Proofs That Really Count: The Art of Combinatorial Proof. Mathematical Association of America, Providence, RI.