Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

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

References [Enhancements On Off] (What's this?)

  • [1] Ergun Ar and R. E. Kleinman, The exterior Neumann problem for the 3-dimensional Helmholtz equation, Arch. Rational Mech. Anal. 23, 218-236 (1966) MR 0203064
  • [2] I. M. Gel'fand and G. E. Schilow, Verallgemeinerte Funktionen (distributionen). I, Veb Deutscher Verlag Der Wissenshaften, Berlin, 1962. (Translation from the Russian) MR 0149275
  • [3] R. E. Kleinman, The Dirichlet problem for the Helmholtz equation, Arch. Rational Mech. Anal. 18, 205-229 (1965) MR 0172602
  • [4] 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)
  • [5] P. Moon and D. E. Spencer, Separability conditions for the Laplace and Helmholtz equations, J. Franklin Inst. 253, 585 (1952) MR 0049437
  • [6] C. H. Wilcox, A generalization of theorems of Rellich and Atkinson, Proc. Amer. Math. Soc. 7, 271-276 (1956) MR 0078912


Additional Information

DOI: https://doi.org/10.1090/qam/99896
Article copyright: © Copyright 1967 American Mathematical Society

American Mathematical Society