LOGARITHMIC RESIDUES AND THEIR APPLICATIONS

Abstract

This article is dedicated to the analysis of the concept of logarithmic residues in the theory of several complex variables. Logarithmic residues serve as a powerful tool for studying the behavior of multivariable holomorphic and plurisubharmonic functions in complex domains. The article provides a mathematical definition of logarithmic residues, their key properties, and methods for calculating them using integrals.