E. A. Bender, Central and local limit theorems applied to asymptotic enumeration, Journal of Combinatorial Theory, Series A, vol.15, issue.1, pp.91-111, 1973.
DOI : 10.1016/0097-3165(73)90038-1

R. Chelluri, L. B. Richmond, and N. M. Temme, ASYMPTOTIC ESTIMATES FOR GENERALIZED STIRLING NUMBERS, Analysis, vol.20, issue.1, 1999.
DOI : 10.1524/anly.2000.20.1.1

P. Flajolet and R. Sedgewick, Analytic combinatorics, 2009.
DOI : 10.1017/CBO9780511801655
URL : https://hal.archives-ouvertes.fr/inria-00072739

D. B. Grünberg, On Asymptotics, Stirling Numbers, Gamma Function and Polylogs, Results in Mathematics, vol.49, issue.1-2, pp.89-125, 2006.
DOI : 10.1007/s00025-006-0211-7

H. K. Hwang, Asymptotic expansions for the stirling numbers of the first kind, Journal of Combinatorial Theory, Series A, vol.71, issue.2, pp.343-351, 1995.
DOI : 10.1016/0097-3165(95)90010-1

H. K. Hwang, Théorèmes limites pour les structures aléatoires et les fonctions arithmétiques, 1994.

H. K. Hwang, On Convergence Rates in the Central Limit Theorems for Combinatorial Structures, European Journal of Combinatorics, vol.19, issue.3, pp.329-343, 1998.
DOI : 10.1006/eujc.1997.0179

A. Kyriakoussis and M. G. Vamvakari, On Asymptotics for the Signless Noncentral q-Stirling Numbers of the First Kind, Studies in Applied Mathematics, vol.107, issue.3, pp.191-213, 2006.
DOI : 10.1137/0403019

L. Moser and M. Wyman, Asymptotic Development of the Stirling Numbers of the First Kind, Journal of the London Mathematical Society, vol.1, issue.2, pp.133-146, 1958.
DOI : 10.1112/jlms/s1-33.2.133

N. M. Temme, Asymptotic Estimates of Stirling Numbers, Studies in Applied Mathematics, vol.XLIII:, issue.3, pp.233-243, 1993.
DOI : 10.1002/sapm1993893233

A. N. Timashev, On asymptotic expansions of Stirling numbers of the first and second kinds, Discrete Mathematics and Applications, vol.8, issue.5, pp.533-544, 1998.
DOI : 10.1515/dma.1998.8.5.533

E. G. Tsylova, Probabilistic methods for obtaining asymptotic formulas for generalized Stirling numbers, Journal of Mathematical Sciences, vol.10, issue.No. 1, pp.1607-1614, 1995.
DOI : 10.1007/BF02368751

H. S. Wilf, The asymptotic behavior of the stirling numbers of the first kind, Journal of Combinatorial Theory, Series A, vol.64, issue.2, pp.344-349, 1993.
DOI : 10.1016/0097-3165(93)90103-F