  The Kwiecinski evolution of unintegrated parton distributions (UPDs) in the
transverse-coordinate space is analyzed with the help of the Mellin transform.
Numerical results are presented for the unintegrated pion distributions with a
simple valence-like initial condition at the low scale, which follows from
chiral large-Nc quark models. The effect of spreading of UPDs in the transverse
momentum with the increasing scale is confirmed, with <kT^2> growing
asymptotically as Q^2 alpha(Q^2). Formal aspects of the equations, such as the
limits of UPDs at x -> 0, x -> 1, and at low and large b, are straightforward
to obtain with our method.
