标题： 关于排列理论中具有指定上升下降结构的基本多项式 显示英文标题

标题： On the Basis Polynomials in the Theory of Permutations with Prescribed Up-Down Structure

摘要： 我们引入并研究所谓的基多项式，在排列的预定上升下降结构理论中，鉴于它们在该理论中的重要性，类似于二项式系数在枚举满足某些限制的有限集合子集中的作用。 显示英文摘要

摘要： We introduce and study so-called basis polynomials in the theory of permutations with prescribed up-down structure in view of their important role in this theory similar to the role of the binomial coefficients in the enumeration of the subsets of a finite set satisfying some restrictions.