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Online ISSN 1552-4485; Print ISSN 0033-569X
On the low frequency acoustical scattering of a plane wave from a soft spindle at nose-on incidence
Author:
Ergun Ar
Journal:
Quart. Appl. Math. 25 (1967), 285-292
DOI:
https://doi.org/10.1090/qam/99896
MathSciNet review:
QAM99896
Full-text PDF Free Access
References | Additional Information
- Ergun Ar and R. E. Kleinman, The exterior Neumann problem for the three-dimensional Helmholtz equation, Arch. Rational Mech. Anal. 23 (1966), 218–236. MR 203064, DOI https://doi.org/10.1007/BF00253158
- I. M. Gelfand and G. E. Schilow, Verallgemeinerte Funktionen (Distributionen). II: Lineare topologische Räume. Räume von Grundfunktionen und verallgemeinerten Funktionen, Hochschulbücher für Mathematik, Bd. 48, VEB Deutscher Verlag der Wissenschaften, Berlin, 1962 (German). MR 0149275
- R. E. Kleinman, The Dirichlet problem for the Helmholtz equation, Arch. Rational Mech. Anal. 18 (1965), 205–229. MR 172602, DOI https://doi.org/10.1007/BF00285433 H. M. Macdonald, Zeros of the spherical harmonic $P_n^m\left ( \mu \right )$ considered as a function of n, Proc. London Math. Soc. (1), 31, 265 (1900)
- Parry Moon and Domina Eberle Spencer, Separability conditions for the Laplace and Helmholtz equations, J. Franklin Inst. 253 (1952), 585–600. MR 49437, DOI https://doi.org/10.1016/0016-0032%2852%2990682-0
- Calvin H. Wilcox, A generalization of theorems of Rellich and Atkinson, Proc. Amer. Math. Soc. 7 (1956), 271–276. MR 78912, DOI https://doi.org/10.1090/S0002-9939-1956-0078912-4
Additional Information
Article copyright:
© Copyright 1967
American Mathematical Society