3 papers
math.CV2026
Smale's Mean Value Conjecture and its Dual Conjecture for Complex Polynomials
Aneesh Jatar, Tuen Wai Ng
For the purposes of proving Smale's mean value conjecture, one may restrict consideration to an explicitly described family of so-called Schlicht normalized polynomials. For Schlic…
nlin.SI2025
Methods for exact solutions of nonlinear ordinary differential equations\
Robert Conte, Micheline Musette, Tuen Wai Ng +1
In order to find closed form solutions of nonintegrable nonlinear ordinary differential equations, numerous tricks have been proposed. The goal of this short review is to recall cl…
math.AG2019
Hyberbolic Belyi maps and Shabat-Blaschke products
Kenneth Chung Tak Chiu, Tuen Wai Ng
We first introduce hyperbolic analogues of Belyi maps, Shabat polynomials and Grothendieck's dessins d'enfant. In particular we introduce and study the Shabat-Blaschke products and…