Polyharmonic Functions in the Quarter Plane (Extended Abstract)
Combinatorics
2022-11-22 v1 Classical Analysis and ODEs
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.
Cite
@article{arxiv.2211.11232,
title = {Polyharmonic Functions in the Quarter Plane (Extended Abstract)},
author = {Andreas Nessmann},
journal= {arXiv preprint arXiv:2211.11232},
year = {2022}
}
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