Boundary value problems for bi-polyanalytic functions on the upper half plane
Küçük Resim Yok
Tarih
2025
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Taylor & Francis Ltd
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
In 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.
Açıklama
Anahtar Kelimeler
Bi-polyanalytic functions, boundary value problems for bi-polyanalytic functions, Schwarz problem, Neumann problem
