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The asymptotics of the gap in the Mathieu equation. (English) Zbl 0464.34020

MSC:
34L99 Ordinary differential operators
47E05 General theory of ordinary differential operators
34B30 Special ordinary differential equations (Mathieu, Hill, Bessel, etc.)
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References:
[1] Arnold, V., ()
[2] Eastham, M.S.P., ()
[3] Harrell, E., Commun. math. phys., 60, 73-95, (1978)
[4] Harrell, E., Ann. phys. (N.Y.), 119, 351-369, (1979)
[5] Harrell, E., Commun. math. phys., 75, 239-261, (1980)
[6] {\scE. Harrell}, Amer. J. Math., to appear.
[7] {\scE. Harrell}, private communication.
[8] Hochstadt, H., (), 930-932
[9] Kato, T., ()
[10] Levitan, B.M.; Sargstan, I.S., ()
[11] Magnus, W.; Winkler, W., ()
[12] Read, M.; Simon, B., ()
[13] Trubowitz, E., Comm. pure appl. math., 30, 321-337, (1977)
[14] Levy, D.; Keller, J., Comm. pure appl. math., 16, 469-476, (1963)
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