Voir la notice de l'article provenant de la source Math-Net.Ru
@article{IVM_2012_6_a2, author = {V. V. Karachik}, title = {Application of the {Almansi} formula for constructing polynomial solutions to the {Dirichlet} problem for a~second-order equation}, journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika}, pages = {24--35}, publisher = {mathdoc}, number = {6}, year = {2012}, language = {ru}, url = {http://geodesic.mathdoc.fr/item/IVM_2012_6_a2/} }
TY - JOUR AU - V. V. Karachik TI - Application of the Almansi formula for constructing polynomial solutions to the Dirichlet problem for a~second-order equation JO - Izvestiâ vysših učebnyh zavedenij. Matematika PY - 2012 SP - 24 EP - 35 IS - 6 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/IVM_2012_6_a2/ LA - ru ID - IVM_2012_6_a2 ER -
%0 Journal Article %A V. V. Karachik %T Application of the Almansi formula for constructing polynomial solutions to the Dirichlet problem for a~second-order equation %J Izvestiâ vysših učebnyh zavedenij. Matematika %D 2012 %P 24-35 %N 6 %I mathdoc %U http://geodesic.mathdoc.fr/item/IVM_2012_6_a2/ %G ru %F IVM_2012_6_a2
V. V. Karachik. Application of the Almansi formula for constructing polynomial solutions to the Dirichlet problem for a~second-order equation. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 6 (2012), pp. 24-35. http://geodesic.mathdoc.fr/item/IVM_2012_6_a2/
[1] Almansi E., “Sull'integrazione dell'equazione differenziale $\Delta^{2n}u=0$”, Ann. mat. pura appl., 2:3 (1899), 1–51 | Zbl
[2] Karachik V. V., “Ob odnom predstavlenii analiticheskikh funktsii garmonicheskimi”, Matem. trudy, 10:2 (2007), 142–162 | MR | Zbl
[3] Nicolescu M., “Probléme de l'analyticité par rapport á un opérateur linéaire”, Stud. Math., 16 (1958), 353–363 | MR | Zbl
[4] Karachik V. V., “Ob odnom razlozhenii tipa Almansi”, Matem. zametki, 83:3 (2008), 370–380 | MR | Zbl
[5] Karachik V. V., “Normalized system of functions with respect to the Laplace operator and its applications”, J. of Math. Anal. Appl., 287:2 (2003), 577–592 | DOI | MR | Zbl
[6] Liu L., Ren G. B., “Normalized system for wave and Dunkl operators”, Taiwanese J. Math., 14:2 (2010), 675–683 | MR | Zbl
[7] Karachik V. V., “Polynomial solutions to systems of partial differential equations with constant coefficients”, Yokohama Math. J., 47:2 (2000), 121–142 | MR | Zbl
[8] Nikolskii S. M., “Sluchai, kogda reshenie granichnoi zadachi polinom”, Dokl. RAN, 366:6 (1999), 746–748 | MR
[9] Karachik V. V., “Postroenie polinomialnykh reshenii nekotorykh kraevykh zadach dlya uravneniya Puassona”, Zhurn. vychisl. matem. i matem. fiz., 51:9 (2011), 1674–1694