Karaca, Bahriye2025-03-202025-03-2020251747-69331747-6941https://doi.org/10.1080/17476933.2025.2472397https://hdl.handle.net/20.500.14034/2387In this study, explicit solutions for certain boundary value problems in the upper half-plane are obtained. Various types of boundary conditions are examined in detail, and their effects on the solutions are analyzed. The solution methodology relies on higher-order Cauchy-Pompeiu representations, which are used to address boundary value problems for bi-polyanalytic functions and inhomogeneous Cauchy-Riemann equations. In this context, the solutions obtained extend classical boundary value problems, including the Schwarz, Dirichlet and Neumann problems, providing a more general framework for analyzing these equations.eninfo:eu-repo/semantics/closedAccessBi-polyanalytic functionsboundary value problems for bi-polyanalytic functionsSchwarz problemNeumann problemArticle10.1080/17476933.2025.2472397Q3WOS:001440894200001Q2