# zbMATH — the first resource for mathematics

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, $${}_0F_1$$
##### Keywords:
Bessel functions; integral identities
Full Text: