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arXiv · 2211.11232

Polyharmonic Functions in the Quarter Plane (Extended Abstract)

Andreas Nessmann
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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.

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Andreas Nessmann. 2022-11-21. Polyharmonic Functions in the Quarter Plane (Extended Abstract). https://doi.org/10.4230/lipics.aofa.2022.15

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