An asymptotic distribution theory for Eulerian recurrences with applications

Hsien-Kuei Hwang, Hua-Huai Chern and Guan-Huei Duh, An asymptotic distribution theory for Eulerian recurrences with applications, Advances in Applied Mathematics, to appear (2019) pdf (114 pages). arXiv: 1807.01412 Supplementary materials: Eulerian recurrences (P_n(v)=a_n(v)P_{n-1}(v)+b_n(v)(1-v)P_{n-1}'(v)) Degenerate Eulerian recurrences (P_n(v)=a_n(v)P_{n-1}(v)) (refresh the two webpages if the math displays are not properly rendered)