Rotational-translational addition theorems for scalar spheroidal wave functions

Authors:
R. H. MacPhie, J. Dalmas and R. Deleuil

Journal:
Quart. Appl. Math. **44** (1987), 737-749

MSC:
Primary 33A55

DOI:
https://doi.org/10.1090/qam/872824

MathSciNet review:
872824

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Abstract: Rotational-translational addition theorems for the scalar spheroidal wave function , with , are deduced. This permits one to represent the scalar spheroidal wave function, associated with one spheroidal coordinate system centered at its local origin , by an addition series of spheroidal wave functions associated with a second rotated and translated system , centered at . Such theorems are necessary in the rigorous analysis of radiation and scattering by spheroids with arbitrary spacings and orientations.

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DOI:
https://doi.org/10.1090/qam/872824

Article copyright:
© Copyright 1987
American Mathematical Society