  A consistent analytical approach for calculation of the quasiclassical radial
dipole matrix elements in the momentum and coordinate representations is
presented. Very simple but relatively precise expressions for the matrix
elements are derived in both representations. All analytical expressions
contain only one special function -- the Anger function and its derivative.
They generalise and increase the accuracy of some known quasiclassical
expressions. The small difference between the two forms of the expressions for
the dipole matrix elements indicates to the applicability of the simple
expressions given by the consistent quasiclassical approach even for low atomic
states.
