Sarcouncil Journal of Applied Sciences Aims & Scope

Sarcouncil Journal of Applied Sciences

An Open access peer reviewed international Journal
Publication Frequency- Monthly
Publisher Name-SARC Publisher

ISSN Online- 2945-3437
Country of origin-PHILIPPINES
Impact Factor- 3.78, ICV-64
Language- English

Keywords

Editors

‘Analogue of Hartogs’ Lemma for Pluriharmonic Functions

Keywords: Holomorphic function, real-analytic function, harmonic functions, subharmonic functions, plurisubharmonic functions, pluriharmonic functions.

Abstract: In this paper, an analogue of the Hartogs’ lemma for pluriharmonic functions is proved. The conditions of the theorem are, of course, necessary for the pluriharmonicity of functions of many variables. Conditions 1, characterizing the harmonicity of a function in direction is standard in theorems of continuation along lines. It defines the principle of continuation of a function in a direction.

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