R. Arratia, A. D. Barbour, and S. Tavaré, Random combinatorial structures and prime factorizations. Notices of, pp.903-910, 1997.

L. Dong, Z. Gao, and D. Panario, Enumeration of Decomposable Combinatorial Structures with Restricted Patterns, Annals of Combinatorics, vol.121, issue.1-2, pp.353-368, 2008.
DOI : 10.1007/s00026-009-0008-y

L. Dong, Z. Gao, and D. Panario, The size of the rth smallest component in decomposable structures with a restricted pattern, Discrete Mathematics and Theoretical Computer Science, pp.365-384, 2007.
URL : https://hal.archives-ouvertes.fr/hal-01184774

P. Flajolet and A. Odlyzko, Singularity Analysis of Generating Functions, SIAM Journal on Discrete Mathematics, vol.3, issue.2, pp.216-240, 1990.
DOI : 10.1137/0403019
URL : https://hal.archives-ouvertes.fr/inria-00075725

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

P. Flajolet and M. Soria, Gaussian limiting distributions for the number of components in combinatorial structures, Journal of Combinatorial Theory, Series A, vol.53, issue.2, pp.165-182, 1990.
DOI : 10.1016/0097-3165(90)90056-3
URL : https://hal.archives-ouvertes.fr/inria-00075742

P. Flajolet and M. Soria, General combinatorial schemas: Gaussian limit distributions and exponential tails, Discrete Mathematics, vol.114, issue.1-3, pp.159-180, 1993.
DOI : 10.1016/0012-365X(93)90364-Y
URL : https://hal.archives-ouvertes.fr/inria-00075557

X. Gourdon, Combinatoire, algorithmique et géométrie des polynômes, 1996.

X. Gourdon, Largest component in random combinatorial structures, Discrete Mathematics, vol.180, issue.1-3, pp.185-209, 1998.
DOI : 10.1016/S0012-365X(97)00115-5
URL : https://hal.archives-ouvertes.fr/inria-00074131

W. Hayman, A generalization of Stirling's formula, J. Reine Angew. Math, vol.196, pp.67-95, 1956.

P. Henrici, Applied and computational complex analysis, 1974.

D. Panario, R. , and B. , Smallest components in decomposable structures: Exp-log class, Algorithmica, vol.14, issue.2, pp.205-226, 2001.
DOI : 10.1007/BF02679619

B. Richmond, Asymptotic relations for partitions, Journal of Number Theory, vol.7, issue.4, pp.389-405, 1975.
DOI : 10.1016/0022-314X(75)90043-8

B. Richmond, The moments of partitions, II, Acta Arithmetica XXVIII, pp.229-243, 1975.

E. T. Whittaker and G. N. Watson, A course of modern analysis, 1927.

E. M. Wright, The Coefficients of a Certain Power Series, Journal of the London Mathematical Society, vol.1, issue.4, pp.256-262, 1932.
DOI : 10.1112/jlms/s1-7.4.256

E. M. Wright, On the coefficients of power series having exponential singularities. II, J. London Math Society, vol.24, pp.304-309, 1949.