Corcino, Roberto B.; Corcino, Cristina B.; Aranas, Peter John B. The peak of noncentral Stirling numbers of the first kind. (English) Zbl 1393.11022 Int. J. Math. Math. Sci. 2015, Article ID 982812, 7 p. (2015). Summary: We locate the peak of the distribution of noncentral Stirling numbers of the first kind by determining the value of the index corresponding to the maximum value of the distribution. Cited in 1 Document MSC: 11B73 Bell and Stirling numbers Keywords:noncentral Stirling numbers; distribution PDFBibTeX XMLCite \textit{R. B. Corcino} et al., Int. J. Math. Math. Sci. 2015, Article ID 982812, 7 p. (2015; Zbl 1393.11022) Full Text: DOI References: [1] Koutras, M., Noncentral Stirling numbers and some applications, Discrete Mathematics, 42, 1, 73-89 (1982) · Zbl 0506.10009 · doi:10.1016/0012-365X(82)90056-5 [2] Mezö, I., On the maximum of \(r\)-Stirling numbers, Advances in Applied Mathematics, 41, 3, 293-306 (2008) · Zbl 1165.11023 · doi:10.1016/j.aam.2007.11.002 [3] Erdös, P., On a conjecture of Hammersley, Journal of the London Mathematical Society, 28, 232-236 (1953) · Zbl 0050.27003 [4] de Médicis, A.; Leroux, P., Generalized Stirling numbers, convolution formulae and \(p , q\)-analogues, Canadian Journal of Mathematics, 47, 3, 474-499 (1995) · Zbl 0831.05005 · doi:10.4153/CJM-1995-027-x [5] Lieb, E. H., Concavity properties and a generating function for Stirling numbers, Journal of Combinatorial Theory, 5, 2, 203-206 (1968) · Zbl 0164.33002 · doi:10.1016/S0021-9800(68)80057-2 [6] Comtet, L., Advanced Combinatorics (1974), Dordrecht, The Netherlands: Reidel, Dordrecht, The Netherlands · Zbl 0283.05001 [7] Cakić, N. P.; El-Desouky, B. S.; Milovanović, G. V., Explicit formulas and combinatorial identities for generalized Stirling numbers, Mediterranean Journal of Mathematics, 10, 1, 57-72 (2013) · Zbl 1338.11033 · doi:10.1007/s00009-011-0169-x This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.