8 citations · 21 across the 6 of their papers we have counts for
6 papers
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)…
Dependence and phase changes in random -ary search trees
Hua-Huai Chern, Michael Fuchs, Hsien-Kuei Hwang +1
We study the joint asymptotic behavior of the space requirement and the total path length (either summing over all root-key distances or over all root-node distances) in random …
Random unfriendly seating arrangement in a dining table
Hua-Huai Chern, Hsien-Kuei Hwang, Tsung-Hsi Tsai
A detailed study is made of the number of occupied seats in an unfriendly seating scheme with two rows of seats. An unusual identity is derived for the probability generating funct…
Psi-series method in random trees and moments of high orders
Hua-Huai Chern, Hsien-Kuei Hwang, Conrado Martínez
An unusual and surprising expansion of the form \[ p_n = ρ^{-n-1}(6n +\tfrac{18}5+ \tfrac{336}{3125} n^{-5}+\tfrac{1008}{3125} n^{-6} +\text{smaller order terms}), \] as $n\to\inft…
On the Construction of Isospectral Vectorial Sturm-Liouville Differential Equations
Hua-Huai Chern
The author extends the idea of Jodeit and Levitan for constructing isospectral problems of the classical scalar Sturm-Liouville differential equations to the vectorial Sturm-Liouvi…
On The Eigenvalues of Some Vectorial Sturm-Liouville Eigenvalue Problems
Hua-Huai Chern
The author tries to derive the asymptotic expression of the large eigevalues of some vectorial Sturm-Liouville differential equations. A precise description for the formula of the…