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Published online by Cambridge University Press: 20 January 2009
Since the publication of the memoir of Mathieu on the transverse vibrations of an elliptic membrane, the subject has been discussed by many authors from different points of view. But the corresponding problem of the plate has received but little attention. Mathieu discussed the problem as early as 1869, but the method adopted is different from that followed in the present paper, the main object of which is to apply Whittaker's solutions of Mathieu's Equation to the problem of the elliptic plate. These solutions are really better suited for numerical calculations than the evaluation of infinite determinants.
page 32 note * Liouville, t. XIII, 1868.
page 32 note † Proc. Edin. Math. Soc., Vol. 32 (1913–1914).Google Scholar
page 32 note ‡ Rayleigh, Theory of Sound, Vol. I, Chap. X.
page 34 note * Ince, B. L.. Proc. Edin Math. Soc., Vol. 33, p. 2.CrossRefGoogle Scholar
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