4 papers
A Transform Pair for Doubly Connected Domains
Jesse J. Hulse
A new transform-based technique that generalizes the unified transform method is developed for bounded doubly connected domains as a novel way to numerically solve boundary value p…
A Formula for the Pluricomplex Green Function of the Bidisk
Jesse J. Hulse
In this paper, we derive a formula for the pluricomplex Green function of the bidisk with two poles of equal weights. In 2017, Kosiński, Thomas, and Zwonek proved the Lempert funct…
The Unified Transform Method: beyond circular or convex domains
Jesse J. Hulse, Loredana Lanzani, Stefan G. Llewellyn Smith +1
A new transform-based approach is presented that can be used to solve mixed boundary value problems for Laplace's equation in non-convex and other planar domains, specifically the…
A transform pair for bounded convex planar domains
Jesse Hulse, Loredana Lanzani, Stefan Llewellyn Smith +1
A new transform pair which can be used to solve mixed boundary value problems for Laplace's equation and the complex Helmholtz equation in bounded convex planar domains is presente…