4 papers
Linear -difference, difference and differential operators preserving some -entire functions
Jiaxing Huang, Tuen Wai Ng
We apply Rossi's half-plane version of Borel's Theorem to study the zero distribution of linear combinations of -entire functions (Theorem 1.2). This provides a unifie…
A Uniqueness Theorem for Holomorphic Mappings in the Disk Sharing Totally Geodesic Hypersurfaces
Jiaxing Huang, Tuen Wai Ng
In this paper, we prove a Second Main Theorem for holomorphic mappings in a disk whose image intersects some families of nonlinear hypersurfaces (totally geodesic hypersurfaces wit…
Hypertranscendency of Perturbations of Hypertranscendental Functions
Jiaxing Huang, Tuen Wai Ng
Inspired by the work of Bank on the hypertranscendence of where is the Euler gamma function and is an entire function, we investigate when a meromorphic function $fe…
Ax-Schanuel Type Theorems on Functional Transcendence via Nevanlinna Theory
Jiaxing Huang, Tuen-Wai Ng
We will apply Nevanlinna Theory to prove several Ax-Schanuel type Theorems for functional transcendence when the exponential map is replaced by other meromorphic functions. We also…