%0 Journal Article %1 noauthororeditor %A Sadybekov, Makhmud A. %A Turmetov, B. Kh. %A Torebek, Berikbol T %D 2015 %J Advances in Pure and Applied Mathematics %K 31a25-2d-potential-theory-boundary-value-and-inverse-problems 31a30-two-dimensional-biharmonic-polyharmonic-equations 35j05-laplacian-operator-helmholtz-poisson-equation 35j08-pdes-elliptic-greens-functions %N 3 %P 163-172 %R 10.1515/apam-2015-0003 %T On an explicit form of the Green function of the Robin problem for the Laplace operator in a circle %U https://www.degruyter.com/document/doi/10.1515/apam-2015-0003/html %V 6 %X The paper is devoted to investigation questions about constructing the explicit form of the Green’s function of the Robin problem in the unit ball ofℝ2. In constructing this function we use the representation of the fundamental solution of the Laplace equation in the form of a series. An integral representation of the Green function is obtained and for some values of the parameters the Green function is given in terms of elementary functions.

@article{noauthororeditor, abstract = {The paper is devoted to investigation questions about constructing the explicit form of the Green’s function of the Robin problem in the unit ball ofℝ2. In constructing this function we use the representation of the fundamental solution of the Laplace equation in the form of a series. An integral representation of the Green function is obtained and for some values of the parameters the Green function is given in terms of elementary functions.}, added-at = {2021-04-12T05:37:26.000+0200}, author = {Sadybekov, Makhmud A. and Turmetov, B. Kh. and Torebek, Berikbol T}, biburl = {https://www.bibsonomy.org/bibtex/283aee8c01d1111bf2d080bcc247c206e/gdmcbain}, doi = {10.1515/apam-2015-0003}, interhash = {e7994801bb4c7fbc97b9918b98f54bcb}, intrahash = {83aee8c01d1111bf2d080bcc247c206e}, journal = {Advances in Pure and Applied Mathematics}, keywords = {31a25-2d-potential-theory-boundary-value-and-inverse-problems 31a30-two-dimensional-biharmonic-polyharmonic-equations 35j05-laplacian-operator-helmholtz-poisson-equation 35j08-pdes-elliptic-greens-functions}, number = 3, pages = {163-172}, timestamp = {2021-04-12T05:37:26.000+0200}, title = {On an explicit form of the Green function of the Robin problem for the Laplace operator in a circle}, url = {https://www.degruyter.com/document/doi/10.1515/apam-2015-0003/html}, volume = 6, year = 2015 }