Abstract
It is shown that in the semiclassical (WKB) Coulomb approximation the radial integrals for multipole transitions in nonhydrogenic atoms obey simple recurrence relations. As a result, any such integral can be analytically expressed in terms of Anger functions plus an algebraic part proportional to sin\ensuremath{\pi}s, where s=\ensuremath{\nu}'-\ensuremath{\nu} is the difference between the effective principal quantum numbers of the states involved. We retrieve, in particular, various formulas established previously for dipole, quadrupole, and octupole transitions.
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