@article {IOPORT.06030317, author = {Mongelli, Pietro}, title = {On the total positivity of restricted Stirling numbers.}, year = {2012}, journal = {European Journal of Combinatorics}, volume = {33}, number = {4}, issn = {0195-6698}, pages = {446-448}, publisher = {Elsevier Science (Academic Press), London}, doi = {10.1016/j.ejc.2011.11.011}, abstract = {Summary: This note shows that the matrix whose $(n,k)$ entry is the number of set partitions of $\{1,\ldots ,n\}$ into $k$ blocks with size at most $m$ is never totally positive for $m\geq 3$; thus answering a question posed in [{\it H. Han} and {\it S. Seo}, ``Combinatorial proofs of inverse relations and log-concavity for Bessel numbers", Eur. J. Comb. 29, No. 7, 1544-1554 (2008; Zbl 1178.05005)].}, identifier = {06030317}, }