R. Ehrenborg and M. Readdy, Juggling and applications to q-analogues, Discrete Mathematics, vol.157, issue.1-3, pp.107-125, 1996.
DOI : 10.1016/S0012-365X(96)83010-X

A. Garsia and J. , Q-counting rook configurations and a formula of frobenius, Journal of Combinatorial Theory, Series A, vol.41, issue.2, pp.246-275, 1986.
DOI : 10.1016/0097-3165(86)90083-X

H. Gould, The q-Stirling numbers of the first and second kinds, Duke Math, J, vol.32, pp.281-289, 1961.

J. Katriel and M. Kibler, Normal ordering for deformed boson operators and operator-valued deformed Stirling numbers, Journal of Physics A: Mathematical and General, vol.25, issue.9, pp.2683-2691, 1992.
DOI : 10.1088/0305-4470/25/9/036
URL : https://hal.archives-ouvertes.fr/in2p3-00000709

J. Katriel and G. Duchamp, Ordering relations for q-boson operators, continued fraction techniques and the q-CBH enigma, Journal of Physics A: Mathematical and General, vol.28, issue.24, pp.7209-7225, 1995.
DOI : 10.1088/0305-4470/28/24/018

T. Mansour, M. Shork, and S. Severini, Wicks's theorem for q-deformed boson operators, Preprint arXiv:quant-ph, pp.703086-703087, 2007.

M. Méndez, P. Blasiak, and K. Penson, Combinatorial approach to generalized Bell and Stirling numbers and boson normal ordering problem, Journal of Mathematical Physics, vol.46, issue.8, p.1, 2005.
DOI : 10.1063/1.1990120

A. M. Navon, ?????????????????????????? ?? ???????? ?????? ??????????????????, Il Nuovo Cimento B, vol.10, issue.2, pp.324-330, 1973.
DOI : 10.1007/BF02828687

M. Schork, Normal ordering q-bosons and combinatorics, Physics Letters A, vol.355, issue.4-5, pp.293-297, 2006.
DOI : 10.1016/j.physleta.2006.02.052

M. Schork, On the combinatorics of normal ordering bosonic operators and deformations of it, Journal of Physics A: Mathematical and General, vol.36, issue.16, pp.4651-4665, 2003.
DOI : 10.1088/0305-4470/36/16/314

A. Varvak, Rook numbers and the normal ordering problem, 16th Annual International Conference on Formal Power Series and Algebraic Combinatorics, 2004.
DOI : 10.1016/j.jcta.2005.07.012

S. Fomin, Duality of Graded Graphs, Journal of Algebraic Combinatorics, vol.3, issue.4, pp.357-404, 1994.
DOI : 10.1023/A:1022412010826