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This article is cited in 6 scientific papers (total in 6 papers)
Laplace and Hua Luogeng operators
G. Khudayberganova, A. M. Khalknazarovb, J. Sh. Abdullayeva a National University of Uzbekistan named after M. Ulugbek, 4 Universitetskaya str., Vuzgorodok, Tashkent, 100174 Republic of Uzbekistan
b Nukus State Pedagogical Institute named after Ajiniyaz, 1 P. Seyitov str., Nukus, 230105 Republic of Karakalpakstan
Abstract:
We study definitions of holomorphic and pluriharmonic functions for classical domains of the first Cartan type, and the operator of Laplace and Hua Luogeng in this domain. We find a relationship between these operators.
Keywords:
classical domain, holomorphic function, pluriharmonic function, Hua Luogeng operator, Laplace operator, automorphism, chain rule.
Received: 09.03.2019 Revised: 09.03.2019 Accepted: 19.06.2019
Citation:
G. Khudayberganov, A. M. Khalknazarov, J. Sh. Abdullayev, “Laplace and Hua Luogeng operators”, Izv. Vyssh. Uchebn. Zaved. Mat., 2020, no. 3, 74–79; Russian Math. (Iz. VUZ), 64:3 (2020), 66–71
Linking options:
https://www.mathnet.ru/eng/ivm9552 https://www.mathnet.ru/eng/ivm/y2020/i3/p74
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Abstract page: | 1460 | Full-text PDF : | 282 | References: | 557 | First page: | 275 |
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