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Eurasian Mathematical Journal, 2019, Volume 10, Number 2, Pages 49–64
DOI: https://doi.org/10.32523/2077-9879-2019-10-2-49-64 (Mi emj329) 		 
This article is cited in 5 scientific papers (total in 5 papers)

Schwarz problem in lens and half lens

F. Joveini, M. Akbari

Department of Pure Mathematics, University of Guilan, Namjoo St, Rasht, Iran
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DOI: https://doi.org/10.32523/2077-9879-2019-10-2-49-64
Abstract: We consider the Schwarz boundary value problem (BVP) for the inhomogeneous Cauchy–Riemann equation in lenses and half lenses. By the technique of parqueting–reflection and the Cauchy–Pompeiu representation formula for lenses and half lenses, the Cauchy–Schwarz representation formula is obtained. Also, the solution of the Schwarz BVP is explicitly obtained.
Keywords and phrases: Schwarz problem, Cauchy–Pompeiu formula, lens, half lens.
Received: 30.01.2018
Revised: 13.04.2019
Bibliographic databases:
Document Type: Article
MSC: 35F15, 35C15, 30E25
Language: English
Citation: F. Joveini, M. Akbari, “Schwarz problem in lens and half lens”, Eurasian Math. J., 10:2 (2019), 49–64
Citation in format AMSBIB
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\by F.~Joveini, M.~Akbari
\paper Schwarz problem in lens and half lens
\jour Eurasian Math. J.
\yr 2019
\vol 10
\issue 2
\pages 49--64
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