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Heinrich Begehr, Ajay Kumar

Boundary value problems for the inhomogeneous polyanalytic equation II

Keywords: polyanalytic functions, inhomogeneous polyanalytic equation, Schwarz, Dirichlet, half-Neumann

Further mixed boundary value problems are studied for the inhomogeneous polyanalytic equation in the unit disc. As in part I, see [4], the boundary conditions are some combinations of Schwarz, Dirichlet and Neumann conditions. The method applied is based on an iteration process leading from lower order equations to higher ones, see [1–3]. The method can be used to solve all kind of such mixed problems also for other kinds of complex model equations.

Analysis, Oldenbourg Wissenschaftsverlag

Print ISSN: 0174-4747
Volume: 27, 04/2007
Pages: 359 - 373

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