Combinatorial interpretation of generalized Stirling numbers
Journal of integer sequences, Tome 12 (2009) no. 3.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: A combinatorial interpretation of the earlier studied generalized Stirling numbers, emerging in a normal ordering problem and its inversion, is given. It involves unordered forests of certain types of labeled trees. Partition number arrays related to such forests are also presented.
Classification : 05A15, 05A17, 05C05
Keywords: increasing trees, enumeration, partition number arrays
@article{JIS_2009__12_3_a5,
     author = {Lang, Wolfdieter},
     title = {Combinatorial interpretation of generalized {Stirling} numbers},
     journal = {Journal of integer sequences},
     publisher = {mathdoc},
     volume = {12},
     number = {3},
     year = {2009},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JIS_2009__12_3_a5/}
}
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Lang, Wolfdieter. Combinatorial interpretation of generalized Stirling numbers. Journal of integer sequences, Tome 12 (2009) no. 3. http://geodesic.mathdoc.fr/item/JIS_2009__12_3_a5/