English

Bicomplex Schwarz and Dirichlet Boundary Value Problems

Complex Variables 2025-07-22 v1 Analysis of PDEs Classical Analysis and ODEs Functional Analysis

Abstract

We define and solve boundary value problems of Schwarz and Dirichlet type on the complex unit disk for bicomplex-valued functions.

Keywords

Cite

@article{arxiv.2507.15653,
  title  = {Bicomplex Schwarz and Dirichlet Boundary Value Problems},
  author = {William L. Blair},
  journal= {arXiv preprint arXiv:2507.15653},
  year   = {2025}
}

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R2 v1 2026-07-01T04:11:26.495Z