A.V. Bitsadze's observation on bianalytic functions and the Schwarz problem revisited. Issue 4 (3rd April 2021)

• Record Type: Journal Article
• Authors: Aksoy, Ümit; Begehr, Heinrich; Çelebi, A. Okay
• Is Part Of: Complex variables and elliptic equations. Volume 66:Issue 4(2021)
• Page Start: 583
• Page End: 585
• Publication Date: 2021-04-03
• Subjects: Y. Xu; Bitsadze equation -- polyanalytic function -- plane domains -- harmonic Green function -- Schwarz boundary value problem -- Dirichlet and Neumann conditions; 30E25 -- 30G20 -- 31A05 -- 35J40; Functions of complex variables -- Periodicals; Differential equations, Elliptic -- Periodicals; 515.905
• DOI: 10.1080/17476933.2020.1730825
• Languages: English
• ISSNs: 1747-6933

Abstract

Abstract : The extension of the Schwarz representation formula to simply connected domains with harmonic Green function and its polyanalytic generalization is not valid in general. They do hold only for certain domains.