http://dspace.bsu.edu.ru/handle/123456789/31307| Title: | Generalized Cauchy integrals on the plane |
| Authors: | Polunin, V. A. Soldatov, A. P. |
| Keywords: | mathematics Cauchy integrals Holder space Laplace operator singular integral |
| Issue Date: | 2018 |
| Citation: | Polunin, V. A. Generalized Cauchy integrals on the plane / V. A. Polunin, A. P. Soldatov // Filomat. - 2018. - Vol.32, N3. - P.1107-1116. - (The Third International Conference on Analysis and Applied Mathematics - ICAAM 2016). |
| Abstract: | The integrals with homogeneous-difference kernels are considered on a smooth contour. The boundary properties of the integrals are described in the Holder space. An analogue of the known Sokhotski-Plemelj formula is obtained. Moreover, the differentiation formula of these integrals is also given |
| URI: | http://dspace.bsu.edu.ru/handle/123456789/31307 |
| Appears in Collections: | Статьи из периодических изданий и сборников (на иностранных языках) = Articles from periodicals and collections (in foreign languages) |
| File | Description | Size | Format | |
|---|---|---|---|---|
| Polunin_Generalized.pdf | 252.64 kB | Adobe PDF | View/Open |
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