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Complex Variables and Elliptic Equations
An International Journal
Volume 66, 2021 - Issue 4
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Original Articles

A.V. Bitsadze's observation on bianalytic functions and the Schwarz problem revisited

Ümit Aksoya Department of Mathematics, Atilim University, Ankara, Turkey
,
Heinrich Begehrb Math. Institut, FU Berlin, Berlin, GermanyCorrespondence[email protected]
ORCID Iconhttps://orcid.org/0000-0003-0316-0897
ORCID Icon &
A. Okay Çelebic Department of Mathematics, Yeditepe University, İstanbul, Turkey
Pages 583-585 | Received 15 Sep 2019, Accepted 13 Feb 2020, Published online: 24 Feb 2020
 
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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.

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Disclosure statement

No potential conflict of interest was reported by the authors.

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