  Feynman diagrams with two real partons contributing to the
next-to-leading-order singlet gluon-quark DGLAP kernel are analysed. The
infra-red singularities of unintegrated distributions are examined numerically.
The analytical formulae are also given in some cases. The role of the colour
coherence effects is found to be crucial for cancellations of the double- and
single-logarithmic infra-red singularities.
