Translational addition theorems for spherical vector wave functions

Cruzan, Orval R.

doi:10.1090/qam/132851

Author: Orval R. Cruzan
Journal: Quart. Appl. Math. 20 (1962), 33-40
MSC: Primary 33.28
DOI: https://doi.org/10.1090/qam/132851
MathSciNet review: 132851
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Abstract: Translational addition theorems for spherical vector wave functions have been derived in a reduced form. The reduction has been accomplished by the use of formulas relating the coefficients that arise in the expansion of the product of two associated Legendre functions. These addition theorems should be useful, in general, in those cases involving electromagnetic sources and spherical bodies.

Seymour Stein, Addition theorems for spherical wave functions, Quart. Appl. Math. 19 (1961), 15–24. MR 120407, DOI https://doi.org/10.1090/S0033-569X-1961-0120407-5
Seymour Stein, Addition theorems for spherical wave functions, Quart. Appl. Math. 19 (1961), 15–24. MR 120407, DOI https://doi.org/10.1090/S0033-569X-1961-0120407-5

S. Stein, Ibid., p. 33

Orval R. Cruzan, Translational addition theorems for spherical vector wave functions, Quart. Appl. Math. 20 (1962/63), 33–40. MR 132851, DOI https://doi.org/10.1090/S0033-569X-1962-0132851-2

J. A. Stratton, Electromagnetic theory, McGraw-Hill Book Co., Inc., New York, N. Y., 1941, pp. 392–423

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