Chelluri, R.; Richmond, L. B.; Temme, N. M. Asymptotic estimates for generalized Stirling numbers. (English) Zbl 1093.11504 Analysis, München 20, No. 1, 1-13 (2000). Summary: Uniform asymptotic expansions are given for the Stirling numbers of the first kind for integral arguments and for the second kind as defined for real arguments by P. Flajolet and H. Prodinger [SIAM J. Discrete Math. 12, No. 2, 155–159 (1999; Zbl 0921.05001)]. The logconcavity of the resulting real valued function of Flajolet and Prodinger is established for a range including the classical integral domain. Cited in 9 Documents MSC: 11B73 Bell and Stirling numbers 41A60 Asymptotic approximations, asymptotic expansions (steepest descent, etc.) Citations:Zbl 0921.05001 PDFBibTeX XMLCite \textit{R. Chelluri} et al., Analysis, München 20, No. 1, 1--13 (2000; Zbl 1093.11504) Full Text: DOI Link Digital Library of Mathematical Functions: §26.8(vii) Asymptotic Approximations ‣ §26.8 Set Partitions: Stirling Numbers ‣ Properties ‣ Chapter 26 Combinatorial Analysis