@article{IM2_1989_33_1_a7,
author = {M. V. Fedoryuk},
title = {Lam\'e wave functions},
journal = {Izvestiya. Mathematics},
pages = {179--200},
year = {1989},
volume = {33},
number = {1},
language = {en},
url = {http://geodesic.mathdoc.fr/item/IM2_1989_33_1_a7/}
}
M. V. Fedoryuk. Lamé wave functions. Izvestiya. Mathematics, Tome 33 (1989) no. 1, pp. 179-200. http://geodesic.mathdoc.fr/item/IM2_1989_33_1_a7/
[1] Mors F. M., Feshbakh G., Metody teoreticheskoi fiziki, t. 2, IL, M., 1960
[2] Krattser A., Frants V., Transtsendentnye funktsii, IL, M., 1963
[3] Beitmen G., Erdeii A., Vysshie transtsendentnye funktsii. Ellipticheskie i avtomorfnye funktsii, funktsii Lame i Mate, Nauka, M., 1967 | MR
[4] Uitteker E. T., Vatson Dzh. N., Kurs sovremennogo analiza, t. 2, Fizmatgiz, M., 1963
[5] Ains E. L., Obyknovennye differentsialnye uravneniya, ONTI, Kharkov, 1939
[6] Golubev V. V., Lektsii po analiticheskoi teorii differentsialnykh uravnenii, Gostekhizdat, M., L., 1950
[7] Gobson E. V., Teoriya sfericheskikh i ellipsoidalnykh funktsii, IL, M., 1952
[8] Fedoryuk M. B., Asimptoticheskie metody dlya lineinykh obyknovennykh differentsialnykh uravnenii, Nauka, M., 1983 | MR | Zbl
[9] Fedoryuk M. V., Obyknovennye differentsialnye uravneniya, Nauka, M., 1985 | MR
[10] Olver F. W J., Asymptotics and special functions, Academic Press, N.Y., L., 1974 | MR
[11] Arscott F. M., Periodic differential equations, Pergamon Press, Oxford, London, Edinburgh, N.Y., Paris, Frankfurt, 1964 | Zbl
[12] Arscott F. M., Sleeman B. D., “High-frequency approximation to ellipsoidal wave functions”, Mathematika, 17:1 (1970), 39–46 | MR | Zbl