ISSN 0278-6419 (*printed)
ISSN 1934-8428 (electronic version)
ISSN 1934-8428 (electronic version)
In the article, the asymptotics of the coefficients of the generating functions are found with a certain accuracy, which can be used to calculate the powers of layers of certain types of partially ordered sets, as well as to calculate the values of the sums of boundary functionals when estimating the number of antichains in such sets. In addition, applications of the obtained results are considered using examples.
