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Limiting properties of Mathieu functions

Published online by Cambridge University Press:  24 October 2008

M. A. Jaswon
Affiliation:
Imperial CollegeLondon

Abstract

A new analysis is made of the coefficients appearing in periodic Mathieu functions, and this is applied to establish the limiting properties of certain solutions of the equation

Type
Research Article
Copyright
Copyright © Cambridge Philosophical Society 1957

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References

REFERENCES

(1)Cottrell, A. H. and Jaswon, M. A.Proc. Roy. Soc. A, 199 (1949), 104.Google Scholar
(2)McLachlan, N. W.Theory and application of Mathieu functions (Oxford, 1946).Google Scholar
(3)Watson, G. N.Proc. Edinb. Math. Soc. 33 (1915), 25.CrossRefGoogle Scholar
(4)Whittaker, E. T. and Watson, G. N.Modern analysis (Cambridge University Press, 1952), 240.Google Scholar