Green functions, reflections, and plane parqueting
Eurasian mathematical journal, Tome 1 (2010) no. 1, pp. 17-31.

Voir la notice de l'article provenant de la source Math-Net.Ru

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.
@article{EMJ_2010_1_1_a4,
     author = {H. Begehr and T. Vaitekhovich},
     title = {Green functions, reflections, and plane parqueting},
     journal = {Eurasian mathematical journal},
     pages = {17--31},
     publisher = {mathdoc},
     volume = {1},
     number = {1},
     year = {2010},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EMJ_2010_1_1_a4/}
}
TY  - JOUR
AU  - H. Begehr
AU  - T. Vaitekhovich
TI  - Green functions, reflections, and plane parqueting
JO  - Eurasian mathematical journal
PY  - 2010
SP  - 17
EP  - 31
VL  - 1
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/EMJ_2010_1_1_a4/
LA  - en
ID  - EMJ_2010_1_1_a4
ER  - 
%0 Journal Article
%A H. Begehr
%A T. Vaitekhovich
%T Green functions, reflections, and plane parqueting
%J Eurasian mathematical journal
%D 2010
%P 17-31
%V 1
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/EMJ_2010_1_1_a4/
%G en
%F EMJ_2010_1_1_a4
H. Begehr; T. Vaitekhovich. Green functions, reflections, and plane parqueting. Eurasian mathematical journal, Tome 1 (2010) no. 1, pp. 17-31. http://geodesic.mathdoc.fr/item/EMJ_2010_1_1_a4/

[1] S. A. Abdymanapov, H. Begehr, A. B. Tungatarov, “Some Schwarz problems in a quarter plane”, Eurasian Math. J., 3 (2005), 22–35

[2] I. Babuška, V. Nistor, “Boundary value problems in spaces of distributions on smooth and polygonal domains”, J. Comp. Appl. Math., 218 (2008), 137–148 | DOI | MR | Zbl

[3] H. Begehr, T. Vaitekhovich, “Polyharmonic Green functions for particular plane domains”, Proc. 6th Congress of Roman. Mathematicians (Bucharest, 2007), v. 1, eds. L. Beznea et al., Publ. House Roman. Acad. Sci., Bucharest, 2009, 119–126 | MR

[4] R. Courant, D. Hilbert, Methods of Mathematical Physics, v. I, Interscience Publishers, INC, New York, 1953 | MR

[5] D. D. Duffy, Green's Functions with Applications, Chapman and Hall/CRC, Boca Raton, FL, 2001 | MR | Zbl

[6] T. Vaitsiakhovich, Boundary value problems for complex partial differential equations in a ring domain, Ph.D. thesis, FU Berlin, 2008 http://www.diss.fu-berlin.de/diss/receive/FUDISS_thesis_000000003859