This article is cited in 7 papers

Laplace and Hua Luogeng operators

G. Khudayberganov^a, A. M. Khalknazarov^b, J. Sh. Abdullayev<sup>a

a</sup> 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.

UDC: 517.55

Received: 09.03.2019
Revised: 09.03.2019
Accepted: 19.06.2019

DOI: 10.26907/0021-3446-2020-3-74-79

 English version: Russian Mathematics (Izvestiya VUZ. Matematika), 2020, 64:3, 66–71

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