Real zeros and the signless r-associated Stirling numbers of the first kind

The signless r-associated Stirling numbers of the first kind d(r)(n, k) counts the number of permutations of the set {1, 2, ..., n} that have exactly k cycles, each of which is of length greater than or equal to r, where r is a fixed positive integer. F. Brenti obtained that the generating polynomials of the numbers d(r)(n, k) have only real zeros. Here we consider the location of zeros of these polynomials.