Abstract
Any solution of the Lamé equationin which sn u has the modulus k, may be termed a Lamé function, but this paper is devoted mainly to functions of real periods 2K or 4K. We suppose that k2 ≤ 1; the number n is real, but not necessarily an integer, and it is sufficient to take n ≥ − ½. These periodic solutions exist for certain characteristic values of h; a table of such values is included in this paper.
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