The corresponding article has been published in
Sitz.ber. d. ÖAW Math.-naturwiss. Klasse 198 (1989), 171-199.
Counting lattice paths with a linear boundary II
We consider two important special cases of the results about the enumeration
of lattice paths that do not touch a given line, which are contained in our
article ``Counting lattice paths with a linear boundary I"
(Sitz.ber. d. ÖAW Math.-naturwiss. Klasse 198 (1989), 87-107). In
the first case we obtain several types of q-ballot numbers, for which
we are able to provide nice closed forms. In the second case we obtain the
q-Catalan numbers of J. Fürlinger and J. Hofbauer
(J. Combin. Theory Ser. A 40 (1985), 248-264). We add a few new results
and solve some of their problems.
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