Riteria For Plurigarmonicity Of M-Harmonic Functions

Madraximov Ruzimbay Masharipovich, Omonov Olim Isoqovich — Sat, 14 Dec 2024 00:00:00 +0500

It is proved in the paper that if a function f  z 
is M-harmonic in a polydisk
n U , then the function   2 f z
is Msubharmonic.
In addition, the case is ???? ̃
???? = ???? ̃
???????? = 0(???? ≠ 0, ???? ≠ 1, ???? ∈ ℝ) proved to f  z 
be a n -harmonic function. Moreover,
if the function is harmonic on the unit ball and ????????(????) is M-harmonic, then it is proved that ????????(????) is pluriharmonic. At the same
time, if the function is harmonic and M-harmonic in the polydisk ????2 ⊂ ????2, then it is proved that it is n-harmonic..

The Role Of An Integrative Approach In The Development Of Linguistic Competence Of Primary Class Students

Haydarova Maftuna Murodilla kizi — Mon, 16 Dec 2024 00:00:00 +0500

In primary education, special attention is paid to the development of linguistic competence of students based on an integrative approach, to the effective use of modern pedagogical and informational approaches in the educational process. In scientific studies, it is recognized that the development of linguistic competence of elementary school students in foreign language classes, including English classes, based on an integrative approach, is of scientific and methodological importance. Taking this into account, this article covers the issues of using an integrative approach in the development of linguistic competence in the English classes of elementary school students of general secondary schools. It is also important to effectively organize English lessons based on an integrative approach, use games and playful situations in the course of the lesson, and increase students' interest in learning English. Such situations bring the speech activity of elementary school students closer to the natural state, and help to develop their communication skills.

American Journal of Advanced Scientific Research

Riteria For Plurigarmonicity Of M-Harmonic Functions

The Role Of An Integrative Approach In The Development Of Linguistic Competence Of Primary Class Students