Polyharmonic Functions in the Quarter Plane (Extended Abstract)
arXiv:2211.11232 · doi:10.4230/LIPIcs.AofA.2022.15
Abstract
In this article, a novel method to compute all discrete polyharmonic functions in the quarter plane for models with small steps, zero drift and a finite group is proposed. A similar method is then introduced for continuous polyharmonic functions, and convergence between the discrete and continuous cases is shown.
A full article is to appear shortly