http://dspace.bsu.edu.ru/handle/123456789/49968| Title: | On some generalizations of the properties of the multidimensional generalized Erdélyi-Kober operators and their applications |
| Authors: | Karimov, Sh. T. Sitnik, S. M. |
| Keywords: | mathematics mathematical analysis Erdélyi-Kober operators applications Bessel differential operator Cauchy problem |
| Issue Date: | 2020 |
| Citation: | Karimov, Sh.T. On some generalizations of the properties of the multidimensional generalized Erdélyi-Kober operators and their applications / Karimov Sh.T., S.M. Sitnik // Transmutation Operators and Applications / eds.: V.V. Kravchenko, S.M. Sitnik. - Cham, 2020. - Part.I.-P. 85-115. - (Trends in Mathematics). |
| Abstract: | In this paper we investigate the composition of a multidimensional generalized Erdélyi-Kober operator with differential operators of high order. In particular, with powers of the differential Bessel operator. Applications of proved properties to solving the Cauchy problem for a multidimensional polycaloric equation with a Bessel operator are shown |
| URI: | http://dspace.bsu.edu.ru/handle/123456789/49968 |
| Appears in Collections: | Статьи из периодических изданий и сборников (на иностранных языках) = Articles from periodicals and collections (in foreign languages) |
| File | Description | Size | Format | |
|---|---|---|---|---|
| Sitnik_On_Some.pdf | 386.36 kB | Adobe PDF | View/Open |
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