H. Begehr, T. Vaitekhovich, “Green functions, reflections, and plane parqueting”, Eurasian Math. J., 1:1 (2010), 17

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Eurasian Mathematical Journal, 2010, Volume 1, Number 1, Pages 17–31 (Mi emj5)

This article is cited in 15 scientific papers (total in 15 papers)

Green functions, reflections, and plane parqueting

H. Begehr, T. Vaitekhovich

Mathematische Institut, Freuer Universität, Berlin, Germany

Full-text PDF (323 kB) Citations (15)

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Abstract: The harmonic Green and Neumann functions are constructed for a particular triangle in the complex plane, which by reflections across its sides provides a triangulation of the plane.

Keywords and phrases: Green function, Neumann function, triangle, triangulation of the plane, reflection.

Received: 03.11.2009

Bibliographic databases:

Document Type: Article

MSC: 31A25, 35J25, 35A08

Language: English

Citation: H. Begehr, T. Vaitekhovich, “Green functions, reflections, and plane parqueting”, Eurasian Math. J., 1:1 (2010), 17–31

Citation in format AMSBIB

\Bibitem{BegVai10}

\by H.~Begehr, T.~Vaitekhovich

\paper Green functions, reflections, and plane parqueting

\jour Eurasian Math. J.

\yr 2010

\vol 1

\issue 1

\pages 17--31

\mathnet{http://mi.mathnet.ru/emj5}

\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2898673}

\zmath{https://zbmath.org/?q=an:1218.31002}

Linking options:

https://www.mathnet.ru/eng/emj5

https://www.mathnet.ru/eng/emj/v1/i1/p17

Erratum

Green functions, reflections, and plane parqueting revisited
H. Begehr, T. Vaitekhovich
Eurasian Math. J., 2011, 2:2, 139–142

This publication is cited in the following 15 articles:

N. B. Pleschinskii, “Zadacha Trikomi i integralnye uravneniya”, Uchen. zap. Kazan. un-ta. Ser. Fiz.-matem. nauki, 166, no. 1, Izd-vo Kazanskogo un-ta, Kazan, 2024, 74–91
Lin H., “Harmonic Green and Neumann Functions For Domains Bounded By Two Intersecting Circular Arcs”, Complex Var. Elliptic Equ., 67:1 (2022), 79–95
Begehr H., Burgumbayeva S., Dauletkulov A., Lin H., “Harmonic Green Functions For the Almaty Apple”, Complex Var. Elliptic Equ., 65:11 (2020), 1814–1825
Akel M. Mondal S.R., “Dirichlet Problems in Lens and Lune”, Bull. Malays. Math. Sci. Soc., 41:2 (2018), 1029–1043
Akel M., “Riemann–Hilbert Problem For the Cauchy-Riemann Operator in Lens and Lune”, Complex Var. Elliptic Equ., 62:10, SI (2017), 1570–1588
Shupeyeva B., “Dirichlet Problem For Complex Poisson Equation in a Half Hexagon Domain”, J. Complex Anal., 2016, 8097095
Wang Y., Zhao X., “Schwarz Boundary Value Problem For the Cauchy-Riemann Equation in a Rectangle”, Bound. Value Probl., 2016, 7
Akel M.S., Alabbad F., “a Riemann–Hilbert Boundary Value Problem in a Bounded Sector”, Complex Var. Elliptic Equ., 60:4 (2015), 493–509
Begehr H., Vaitekhovich T., “Schwarz Problem in Lens and Lune”, Complex Var. Elliptic Equ., 59:1, SI (2014), 76–84
M. Akel, H. Begehr, “Schwarz problem for first order elliptic systems in unbounded sectors”, Eurasian Math. J., 5:4 (2014), 6–24
Begehr H., “Green Function For a Hyperbolic Strip and a Class of Related Plane Domains”, Appl. Anal., 93:11, SI (2014), 2370–2385
Sadybekov M.A. Torebek B.T. Turmetov B.Kh., “on An Explicit Form of the Green Function of the Third Boundary Value Problem For the Poisson Equation in a Circle”, International Conference on Analysis and Applied Mathematics (ICAAM 2014), AIP Conference Proceedings, 1611, ed. Ashyralyev A. Malkowsky E., Amer Inst Physics, 2014, 255–260
Begehr H., Vaitekhovich T., “Harmonic Dirichlet problem for some equilateral triangle”, Complex Var. Elliptic Equ., 57:2-4 (2012), 185–196
H. Begehr, T. Vaitekhovich, “Green functions, reflections, and plane parqueting revisited”, Eurasian Math. J., 2:2 (2011), 139–142
Begehr H., Vaitekhovich T., “How to find harmonic Green functions in the plane”, Complex Var. Elliptic Equ., 56:12 (2011), 1169–1181

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

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References:	71

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