53 citations · 144 across the 29 of their papers we have counts for
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Analysis of some exactly solvable diminishing urn models
Hsien-Kuei Hwang, Markus Kuba, Alois Panholzer
We study several exactly solvable Polya-Eggenberger urn models with a \emph{diminishing} character, namely, balls of a specified color, say are completely drawn after a finite…
A curious identity in connection with saddle-point method and Stirling's formula
Hsien-Kuei Hwang
We prove the curious identity in the sense of formal power series: \[ \int_{-\infty}^{\infty}[y^m] \exp\left(-\frac{t^2}2 +\sum_{j\ge3}\frac{(it)^j}{j!}\, y^{j-2}\right)\mathrm{d}…
Bell numbers in Matsunaga's and Arima's Genjikō combinatorics: Modern perspectives and local limit theorems
Xiaoling Dou, Hsien-Kuei Hwang, Chong-Yi Li
We examine and clarify in detail the contributions of Yoshisuke Matsunaga (1694?--1744) to the computation of Bell numbers in the eighteenth century (in the Edo period), providing…
Asymptotics and statistics on Fishburn Matrices: dimension distribution and a conjecture of Stoimenow
Hsien-Kuei Hwang, Emma Yu Jin, Michael J. Schlosser
We establish the asymptotic normality of the dimension of large-size random Fishburn matrices by a complex-analytic approach. The corresponding dual problem of size distribution un…
Asymptotics and statistics on Fishburn matrices and their generalizations
Hsien-Kuei Hwang, Emma Yu Jin
A direct saddle-point analysis (without relying on any modular forms, identities or functional equations) is developed to establish the asymptotics of Fishburn matrices and a large…
An asymptotic distribution theory for Eulerian recurrences with applications
Hsien-Kuei Hwang, Hua-Huai Chern, Guan-Huei Duh
We study linear recurrences of Eulerian type of the form \[ P_n(v) = (α(v)n+γ(v))P_{n-1}(v) +β(v)(1-v)P_{n-1}'(v)\qquad(n\ge1), \] with given, where and $γ(v)…