Abstract
We prove the Dirichlet problem for second-order iterated Vekua equations, a natural generalization of the Bitsadze equation, is well-posed when the boundary condition is defined as a product of an exponential function and a polynomial on a non-degenerate conic that is not a circumference. Also, we extend this result, as well as other related results for the Dirichlet problem for polyanalytic and generalized analytic functions from the literature, to their analogues for bicomplex differential equations.
Description
This is an open access article under the terms of the Creative Commons Attribution-NonCommercial-NoDerivs License (http://creativecommons.org/licenses/by-nc-nd/4.0/), which permits use and distribution in any medium, provided the original work is properly cited, the use is non-commercial and no modifications or adaptations are made. © 2026 The Author(s).
Publisher
WILEY
Date of publication
9-2026
Language
english
Persistent identifier
http://hdl.handle.net/10950/5196
Document Type
Article
Recommended Citation
Blair, William L., "Generalizations of the Dirichlet Problem for Bianalytic Functions" (2026). Math Faculty Publications and Presentations. Paper 3.
http://hdl.handle.net/10950/5196