Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

Online ISSN 1552-4485; Print ISSN 0033-569X



An integral equation approach to the problem of wave propagation over an irregular surface

Author: George A. Hufford
Journal: Quart. Appl. Math. 9 (1952), 391-404
MSC: Primary 78.0X
DOI: https://doi.org/10.1090/qam/44350
MathSciNet review: 44350
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  • [9] See J. A. Stratton, Electromagnetic theory, McGraw-Hill Book Company, New York, 1941, p. 165. It may be noticed that in this formulation of Green's theorem the sign on the right hand side has been reversed from that usually used. This is because we have thought it more natural here to think of the normal derivative as directed into the volume V rather than in the conventional outward direction. In this way the normal derivative is directed away from the earth, and this corresponds to the direction of the normal derivative in Eq. (2).
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  • [17] Karl Willy Wagner, Operatorenrechnung nebst Anwendungen in Physik und Technik, J. W. Edwards, Ann Arbor, Michigan, 1944 (German). MR 0012172
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  • [19] See W. B. Ford, The asymptotic developments of functions defined by Maclaurin series, University of Michigan Press, Ann Arbor, 1936, and H. K. Hughes, On the asymptotic expansion of entire functions defined by Maclaurin series, Bull. Amer. Math. Soc. 50, 425-430 (1944).
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DOI: https://doi.org/10.1090/qam/44350
Article copyright: © Copyright 1952 American Mathematical Society