L. Alili and L. Chaumont, A new fluctuation identity for Lévy processes and some applications, Bernoulli, vol.7, issue.3, pp.557-569, 2001.

L. Alili and R. A. Doney, Wiener-Hopf factorization revisited and some applications, Stochastics and Stochastic Reports, vol.66, pp.87-102

J. Bertoin, Lévy processes, 1996.

L. Chaumont, On the law of the supremum of Lévy processes, Ann. Probab, vol.41, issue.3B, pp.1191-1217, 2013.

L. Chaumont and R. A. Doney, On Lévy processes conditioned to stay positive, Electron. J. Probab, vol.13, issue.28, pp.1-4, 2008.

L. Chaumont and J. Ma?ecki, On the asymptotic behavior of the density of the supremum of Lévy processes Ann, Inst. H. Poincaré Probab. Statist, vol.52, issue.3, pp.1178-1195, 2016.

W. Cygan, T. Grzywny, and B. Trojan, Asymptotic behavior of densities of unimodal convolution semigroups Trans, Amer. Math. Soc, vol.369, issue.8, pp.5623-5644, 2017.

R. A. Doney, Lectures from the 35th Summer School on Probability Theory, Lecture Notes in Mathematics, 1897.

R. A. Doney and M. S. Savov, The asymptotic behavior of densities related to the supremum of a stable process, Ann. Probab, vol.38, issue.1, pp.316-326, 2010.

I. S. Gradstein and I. M. Ryzhik, Table of integrals, series and products, 2000.

A. Kuznetsov, On extrema of stable processes, Ann. Probab, vol.39, issue.3, pp.1027-1060, 2011.

A. Kuznetsov, On the density of the supremum of a stable process, Stochastic Process. Appl, vol.123, issue.3, pp.986-1003, 2013.

M. Kwa?nicki, J. Ma?ecki, and M. Ryznar, Suprema of Lévy processes, Annals Probab, vol.41, issue.3B, pp.2047-2065, 2013.

A. E. Kyprianou, Introductory lectures on fluctuations of Lévy processes with applications. Universitext, 2006.

T. Watanabe, The isoperimetric inequality for isotropic unimodal Lévy processes, Z.Wahrsch. Verw. Gebiete, vol.63, issue.4, pp.487-499, 1983.

V. M. Zolotarev, Translations of Mathematical Monographs, vol.65, 1986.

L. Chaumont, ,. , L. , and D. De-mathématique, Université d'Angers, Bd Lavoisier -49045, Angers Cedex 01, France Email address: loic.chaumont@univ-angers

J. Ma?ecki and W. Matematyki, Politechnika Wroc?awska, ul. Wybrze?e Wyspia?skiego, vol.27, pp.50-370