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V.—The Periodic Lamé Functions

Published online by Cambridge University Press:  15 September 2014

E. L. Ince
E. L. Ince
Affiliation:
Mathematical Institute, University of Edinburgh
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Extract

Any solution of the Lamé equation

in 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.

Type
Proceedings
Information
Proceedings of the Royal Society of Edinburgh , Volume 60 , Issue 1 , 1940 , pp. 47 - 63
Copyright
Copyright © Royal Society of Edinburgh 1940

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