H. Cartan, Cours de calcul différentiel. Collection Méthodes, 1997.

F. Delcoigne and G. Fayolle, Thermodynamical limit and propagation of chaos in polling systems, Markov Processes and Related Fields, vol.5, issue.1, pp.89-124, 1999.

S. N. Ethier and T. G. Kurtz, Markov processes. Characterization and Convergence, Wiley Series in Probability and Mathematical Statistics: Probability and Mathematical Statistics, 1986.

I. S. Gradshteyn and I. M. Ryzhik, Table of Integrals, Series, and Products, 2007.

E. L. Ince, Ordinary Differential Equations, The Mathematical Gazette, vol.18, issue.231, 1956.
DOI : 10.2307/3605524

E. C. Titchmarsh, The Theory of Functions, 1939.

S. Veeraraghavan and L. Debo, Joining Longer Queues: Information Externalities in Queue Choice, Manufacturing & Service Operations Management, vol.11, issue.4, pp.543-562, 2009.
DOI : 10.1287/msom.1080.0239

N. D. Vvedenskaya, R. L. Dobrushin, and F. I. Karpelevich, A queueing system with a choice of the shorter of two queues?an asymptotic approach, Problemy Peredachi Informatsii, vol.32, issue.1, pp.20-34, 1996.