MenuAlgebra and Combinatorics Seminar
Date: March 24, 2017
Time: 3:00PM - 3:50PM
Location: BLOC 628
Speaker: Xingwei Wang , Nankai University and Texas A&M University
Title: Infinite log-monotonicity and finite difference of combinatorial sequences
Abstract: Log-concavity and log-convexity of combinatorial sequences is related with unimodality of combinatorial sequences, real rootedness of polynomials and asymptotically normal distribution of combinatorial sequence. In this talk, we will introduce the notion of infinitely log-monotonic sequences originated from complete monotonic functions and show that some log-behaviors of combinatorial sequences can be deduced from this property. We will show many combinatorial sequence satisfying this property. Especially, we will discuss the finite difference of the logarithms of the partition function and the overpartition function.
