Geodesic
Lamé wave functions
Izvestiya. Mathematics, Tome 33 (1989) no. 1, pp. 179-200 
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/
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Voir la notice de l'article provenant de la source Math-Net.Ru

The Lamé wave equation and Lamé wave functions are considered. Asymptotic formulas are obtained for the eigenvalues which are analogous to the Bohr–Sommerfeld quantization rule, and the asymptotics of the Lamé wave functions are found. Bibliography: 12 titles.

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[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