On the range of one complex-valued functional
| Parent link: | Siberian Mathematical Journal: Scientific Journal Vol. 56, iss. 5.— 2015.— [P. 922-928] |
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| Tóm tắt: | Title screen We solve the problem of finding the range Ω of one functional on the class of pairs of normalized univalent functions. Using the method of internal variations, we obtain a system of functionaldifferential equations for the boundary functions solved in quadratures. We prove that the range of the functional is some disk centered at the origin of a radius depending on the parameters of the functional. Режим доступа: по договору с организацией-держателем ресурса |
| Được phát hành: |
2015
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| Truy cập trực tuyến: | http://dx.doi.org/10.1134/S0037446615050146 |
| Định dạng: | Điện tử Chương của sách |
| KOHA link: | https://koha.lib.tpu.ru/cgi-bin/koha/opac-detail.pl?biblionumber=644750 |
| Tóm tắt: | Title screen We solve the problem of finding the range Ω of one functional on the class of pairs of normalized univalent functions. Using the method of internal variations, we obtain a system of functionaldifferential equations for the boundary functions solved in quadratures. We prove that the range of the functional is some disk centered at the origin of a radius depending on the parameters of the functional. Режим доступа: по договору с организацией-держателем ресурса |
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| DOI: | 10.1134/S0037446615050146 |