The asymptotic behavior of elementary symmetric functions on a probability distribution

[摘要] The problem on asymptotic of the valueπ(m,n)=m!σm(p(1,n),p(2,n),…,p(n,n))is considered, whereσm(x1,x2,…,xn)is themth elementary symmetricfunction ofnvariables. The result is interpreted in the context of nonequiprobable random mappings theory.

[学科分类] 应用数学