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National University of Uzbekistan

A(z)-harmonic function

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Articles 1 - 3 of 3

Full-Text Articles in Physical Sciences and Mathematics

Dirichlet Problem In The Class Of A(Z)-Harmonic Functions, Shohruh Khursanov Dec 2021

Dirichlet Problem In The Class Of A(Z)-Harmonic Functions, Shohruh Khursanov

Bulletin of National University of Uzbekistan: Mathematics and Natural Sciences

This paper work is devoted to the study of the Dirichlet problem in the class of A(z)-harmonic functions.


Some Properties Of A(Z)-Subharmonic Functions, Shohruh Khursanov Dec 2020

Some Properties Of A(Z)-Subharmonic Functions, Shohruh Khursanov

Bulletin of National University of Uzbekistan: Mathematics and Natural Sciences

In this paper we give a definition of A(z)-subharmonic functions and consider some properties of A(z)-subharmonic functions. Namely A(z)-subharmonicity criterion in class C2.


Geometric Properties Of A-Harmonic Functions, Shokhrukh Khursanov Jun 2020

Geometric Properties Of A-Harmonic Functions, Shokhrukh Khursanov

Bulletin of National University of Uzbekistan: Mathematics and Natural Sciences

This paper is devoted to geometric properties of A(z)-harmonic functions and the corresponding Laplace operator Δ A(u). It is proved that the generalized A(z)-harmonic function is generated by the usual A(z)-harmonic function.