@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},
year = {1988},
publisher = {Institut des Hautes Etudes Scientifiques},
volume = {68},
mrnumber = {1001456},
zbl = {0701.58012},
language = {en},
url = {https://www.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 Etudes Scientifiques UR - https://www.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. https://www.numdam.org/item/PMIHES_1988__68__211_0/
[1] , Uniform asymptotic smoothing of Stoke's discontinuities, Proc. Roy. Soc. Lond., A422 (1989), 7-21. | Zbl | MR
[2] and , Catastrophe theory and its applications, London, 1978. | Zbl | MR
[3] , The Stokes set of the cusp diffraction catastrophe, F. Phys., A13 (1980), 2913-2928. | Zbl | MR
[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] (ed.), Sir George Gabriel Stokes : Memoir and Scientific Correspondence (Cambridge University Press, 1907), vol. 1, p. 62. | JFM
[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. | Zbl | MR
[9] and , Catastrophe optics : morphologies of caustics and their diffraction patterns, Progress in Optics, 18 (1980), 257-346.
[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] , and , Discrepancies from asymptotic series and their relation to complex classical trajectories, Phys. Rev. Lett., 41 (1978), 1141-1144.
[13] , Les fonctions résurgentes (3 vol.), Publ. Math. Université de Paris-Sud, 1981, and Cinq applications des fonctions résurgentes, preprint 84T62, Orsay, 1984. | Zbl





