Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

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

   
 
 

 

Toroidal wave functions


Author: V. H. Weston
Journal: Quart. Appl. Math. 16 (1958), 237-257
MSC: Primary 33.00; Secondary 35.00
DOI: https://doi.org/10.1090/qam/104001
MathSciNet review: 104001
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Abstract: The Helmholtz equation is solved in toroidal coordinates. A complete set of solutions is obtained representing radiations from a ring source.


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

  • [1] A. Erdelyi, W. Magnus, F. Oberhettinger and F. G. Tricomi, Higher transcendental functions, vol. I, New York, 1953.
  • [2] E. W. Hobson, The theory of spherical and ellipsoidal harmonics, Cambridge, 1931
  • [3] A. Erdelyi, W. Magnus, F. Oberhettinger and F. G. Tricomi, Higher transcendental functions, vol. II, New York, 1954. MR 0066496
  • [4] J. Stratton, Electromagnetic theory, McGraw-Hill, 1941.
  • [5] W. Magnus and F. Oberhettinger, Functions of mathematical Physics, (English ed. 1949)
  • [6] V. H. Weston, Solutions of the toroidal wave equation and their applications, Ph.D. thesis, University of Toronto, 1956
  • [7] V. H. Weston, Solutions of the Helmholtz equation for a class of non-separable cylindrical and Rotational coordinate systems, Quart. Appl. Math. 15, 420 (1957) MR 0098238

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Additional Information

DOI: https://doi.org/10.1090/qam/104001
Article copyright: © Copyright 1958 American Mathematical Society

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