On wave motion in an infinite solid bounded internally by a cylinder or a sphere
Arnold N. Lowan · Bulletin of the American Mathematical Society · 1939
In two previous papers,f the author investigated the problem of wave motion for infinite domains of one, two, and three dimensions and for certain sub-infinite domains; that is, domains bounded in certain directions but extending to infinity in other directions. The present paper is a sequel to the aforementioned papers and deals with the problem of wave motion in an infinite solid, bounded internally by a cylinder or a sphere. In the subsequent developments we shall use the following abbreviations : a(a) = ( « V £), s(p, a) = a + (p k)/a