Algebra & Combinatorics Seminar

Some interlacing sequences related to Eulerian and derangement polynomials

  • 演讲者:刘丽(曲阜师范大学)

  • 时间:2025-03-27 10:00-11:00

  • 地点:理学院大楼M1001,腾讯会议 ID: 350 838 682

Abstract

The Eulerian polynomials and derangement polynomials arise often in combinatorics, algebra and geometry. It is well known that the Eulerian polynomials and derangement polynomials form Sturm sequences, respectively. In this paper, we give new sufficient conditions for the interlacing property of recurrence sequences of polynomials. As applications, we show some interesting interlacing sequences among the Eulerian polynomials, the derangement polynomials and those generalized polynomials for colored permutations.