This article is cited in 2 papers

Lamé wave functions

M. V. Fedoryuk


Abstract: 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.

UDC: 517.927.25

MSC: Primary 33A55; Secondary 35J05

Received: 04.08.1986

 English version: Mathematics of the USSR-Izvestiya, 1989, 33:1, 179–200

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