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On the connection between representations of groups of 3-dimensional rotations and helical translations for the Helmholtz equation. (English. Russian original) Zbl 0829.35027
Russ. Math. Surv. 49, No. 4, 163-164 (1994); translation from Usp. Mat. Nauk 49, No. 4(298), 165-166 (1994).
The authors study some relations between the solutions of the Helmholtz equation in spherical and cylindrical coordinates, respectively.
MSC:
35J05 Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation
33C10 Bessel and Airy functions, cylinder functions, \({}_0F_1\)
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