19 citations · 22 across the 4 of their papers we have counts for
4 papers
An Elementary Proof of the Transformation Formula for the Dedekind Eta Function
Ze-Yong Kong, Lee-Peng Teo
The Dedekind eta function is defined by \[η(τ)=e^{πiτ/12}\prod_{n=1}^{\infty}\left(1-e^{2πi nτ}\right),\quad\text{when}\;\text{Im}\,τ>0.\] It plays an important role in numb…
The Multicomponent KP Hierarchy: Differential Fay Identities and Lax Equations
Lee-Peng Teo
In this article, we show that four sets of differential Fay identities of an -component KP hierarchy derived from the bilinear relation satisfied by the tau function of the hier…
Non-degenerate solutions of universal Whitham hierarchy
Kanehisa Takasaki, Takashi Takebe, Lee Peng Teo
The notion of non-degenerate solutions for the dispersionless Toda hierarchy is generalized to the universal Whitham hierarchy of genus zero with marked points. These solutio…
Analytic and asymptotic properties of multivariate generalized Linnik's probability densities
S. C. Lim, L. P. Teo
This paper studies the properties of the probability density function of the -variate generalized Linnik distribution whose characteristic function $φ_{…