AV Bitsadze's observation on bianalytic functions and the Schwarz problem revisited

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2021

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Taylor & Francis Ltd

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Mathematics
(2000)
The Atılım University Department of Mathematics was founded in 2000 and it offers education in English. The Department offers students the opportunity to obtain a certificate in Mathematical Finance or Cryptography, aside from their undergraduate diploma. Our students may obtain a diploma secondary to their diploma in Mathematics with the Double-Major Program; as well as a certificate in their minor alongside their diploma in Mathematics through the Minor Program. Our graduates may pursue a career in academics at universities, as well as be hired in sectors such as finance, education, banking, and informatics. Our Department has been accredited by the evaluation and accreditation organization FEDEK for a duration of 5 years (until September 30th, 2025), the maximum FEDEK accreditation period achievable. Our Department is globally and nationally among the leading Mathematics departments with a program that suits international standards and a qualified academic staff; even more so for the last five years with our rankings in the field rankings of URAP, THE, USNEWS and WEBOFMETRIC.

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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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Begehr, Heinrich/0000-0003-0316-0897; CELEBI, Ahmet/0000-0002-3508-2590; Aksoy, Umit/0000-0002-6014-1898
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Begehr, Heinrich ORCID logo
CELEBI, Ahmet ORCID logo
Aksoy, Umit ORCID logo

Keywords

Y, Xu, Bitsadze equation, polyanalytic function, plane domains, harmonic Green function, Schwarz boundary value problem, Dirichlet and Neumann conditions

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7

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Volume

66

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4

Start Page

583

End Page

585

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https://doi.org/10.1080/17476933.2020.1730825
 https://hdl.handle.net/20.500.14411/3114

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