Damjanović, Boško The boundary value problem for polyanalytic function in multiply- connected region. (English) Zbl 0613.30048 Mat. Vesn. 38, 411-415 (1986). This paper is concerned with a boundary value problem for polyanalytic functions of order n in an m-connected plane domain. Conditions for the solvability of the problem are given, and for the representation of solutions a formula is derived involving solutions of certain Fredholm integral equations. Furthermore, under certain conditions, the existence of a unique solution is investigated. (Remark: In the reviewer’s opinion, a demonstration of the practical usefulness of the results would be desirable.) Reviewer: M.Kracht MSC: 30G20 Generalizations of Bers and Vekua type (pseudoanalytic, \(p\)-analytic, etc.) 30G30 Other generalizations of analytic functions (including abstract-valued functions) 35J40 Boundary value problems for higher-order elliptic equations 35Q99 Partial differential equations of mathematical physics and other areas of application Keywords:multiply connected domain; polyanalytic functions; representation of solutions PDFBibTeX XMLCite \textit{B. Damjanović}, Mat. Vesn. 38, 411--415 (1986; Zbl 0613.30048)