LOGARITHMIC RESIDUES AND THEIR APPLICATIONS
Keywords:
Several complex variables, logarithmic residue, plurisubharmonic functions, holomorphic functions, complex analysis, logarithmic integral, polar coordinates, mathematical modeling, multidimensional analytic spaces, functional analysis.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.
References
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Ю.В.Сидоров, М.В.Федорюк, М.И.Шабунин «Лекции по теории функций комплексного переменного». Москва «Наука». 1982г
Nazerbaevich, K. S. (2023). QOLDIQLAR YORDAMIDA BA’ZI INTEGRALLARNI HISOBLASH. ОБРАЗОВАНИЕ НАУКА И ИННОВАЦИОННЫЕ ИДЕИ В МИРЕ, 21(1), 154-155.
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