@article{PMIHES_1988__68__211_0, author = {Berry, M. V.}, title = {Stokes' phenomenon ; smoothing a victorian discontinuity}, journal = {Publications Math\'ematiques de l'IH\'ES}, pages = {211--221}, publisher = {Institut des Hautes \'Etudes Scientifiques}, volume = {68}, year = {1988}, mrnumber = {1001456}, zbl = {0701.58012}, language = {en}, url = {http://archive.numdam.org/item/PMIHES_1988__68__211_0/} }
TY - JOUR AU - Berry, M. V. TI - Stokes' phenomenon ; smoothing a victorian discontinuity JO - Publications Mathématiques de l'IHÉS PY - 1988 SP - 211 EP - 221 VL - 68 PB - Institut des Hautes Études Scientifiques UR - http://archive.numdam.org/item/PMIHES_1988__68__211_0/ LA - en ID - PMIHES_1988__68__211_0 ER -
Berry, M. V. Stokes' phenomenon ; smoothing a victorian discontinuity. Publications Mathématiques de l'IHÉS, Tome 68 (1988), pp. 211-221. http://archive.numdam.org/item/PMIHES_1988__68__211_0/
[1] Uniform asymptotic smoothing of Stoke's discontinuities, Proc. Roy. Soc. Lond., A422 (1989), 7-21. | MR | Zbl
,[2] Catastrophe theory and its applications, London, 1978. | MR | Zbl
and ,[3] The Stokes set of the cusp diffraction catastrophe, F. Phys., A13 (1980), 2913-2928. | MR | Zbl
,[4] On the discontinuity of arbitrary constants that appear as multipliers of semi-convergent series, Acta. Math., 26 (1902), 393-397, reprinted in Mathematical and Physical Papers by the late Sir George Gabriel Stokes, Cambridge University Press, 1905, vol. V, p. 283-287. | JFM
,[5] On the discontinuity of arbitrary constants which appear in divergent developments, Trans. Camb. Phil. Soc., 10 (1864), 106-128, reprinted in Mathematical and Physical Papers... (ref. [4]), vol. IV, p. 77-109.
,[6] Sir George Gabriel Stokes : Memoir and Scientific Correspondence (Cambridge University Press, 1907), vol. 1, p. 62. | JFM
(ed.),[7] On the critical values of the sums of periodic series, Trans. Camb. Phil. Soc., 8 (1847), 533-610, reprinted in Mathematical and Physical Papers... (ref. [4]), vol. I, p. 236-313.
,[8] Asymptotic Expansions : their Derivation and Interpretation, New York and London, Academic Press, 1973. | MR | Zbl
,[9] Catastrophe optics : morphologies of caustics and their diffraction patterns, Progress in Optics, 18 (1980), 257-346.
and ,[10] On the intensity of light in the neighbourhood of a caustic, Trans. Camb. Phil. Soc., 6 (1838), 379-403.
,[11] On the numerical calculation of a class of definite integrals and infinite series, Trans. Camb. Phil. Soc., 9 (1847), 379-407, reprinted in Mathematical and Physical Papers... (ref. [4]), vol. II, p. 329-357.
,[12] Discrepancies from asymptotic series and their relation to complex classical trajectories, Phys. Rev. Lett., 41 (1978), 1141-1144.
, and ,[13] Les fonctions résurgentes (3 vol.), Publ. Math. Université de Paris-Sud, 1981, and Cinq applications des fonctions résurgentes, preprint 84T62, Orsay, 1984. | Zbl
,