Conference material: "Academician O.B. Lupanov XIV International Scientific Seminar "Discrete Mathematics and Its Applications" (20-25 June 2022, Moscow)"
Authors:Andreeva T.V.
Asymptotics of coefficient values of some generating functions
Abstract:
he article provides a generalization of the previously obtained calculation formula 'central' coefficients of the generating function, which is the nth degree of a polynomial of degree 2. An application is described obtained result to find the asymptotics of the cardinality of the layers some partially ordered sets, as well as to improve lower bound for the number of antichains in such sets.