chebЧебышевский сборникChebyshevskii Sbornik2226-8383Tula State Lev Tolstoy Pedagogical University10.22405/2226-8383-2022-23-4-126-135cheb-1381Research ArticleСтатьиArticleФормула Карлемана в матричных областях ЗигеляCarleman’s formula for the matrix domains of SiegelРахмоновУктам СодиковичRakhmonovUktam Sodikovich

доцент

associate professor

uktam_rakhmonov@mail.ruМатякубовЗокирбек КадамовичMatyakubovZokirbek Kadamovich

аспирант

postgraduate student

zokirbek.1986@mail.ruТашкентский государственный технический университетУзбекистанTashkent State Technical UniversityUzbekistanХорезмская академия МамунаУзбекистанKhorezm Academy of MamunUzbekistan202216012023234126135Copyright © Рахмонов У.С., Матякубов З.К., 20222022Рахмонов У.С., Матякубов З.К.Rakhmonov U.S., Matyakubov Z.K.Данная работа распространяется под лицензией Creative Commons Attribution 4.0.This work is licensed under a Creative Commons Attribution 4.0 License.https://www.chebsbornik.ru/jour/article/view/1381

Верхняя полуплоскость не является ограниченной областью, но формулы Карлемана для нее играют важную роль в дальнейшем изложении. В данной работе найдена формула Карлемана для матричных областях Зигеля.

The domain of Siegel first type is not a bounded domain, but Carleman’s formulas for it play an important role in the further presentation. In this paper, the Carleman formula for the Siegel domain is found.

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The authors declare that there are no conflicts of interest present.