CLASSICAL DOMAINS AND THE BERGMAN KERNEL FOR THEM

Usubjonov Adxamjon Axadjon o’g’li     Xodjiyev Bahodir G’ulomovich, Tojiboyev Baxtiyor Zokirjon o’g’li

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The journal provides the opportunity to the authors to publish their original research articles in Multidisciplinary field. Journal of Modern Educational Achievements is an open access peer reviewed monthly journal. The journal is refereed and follows the ethics and practices of ethical open access publishing. All the manuscripts received for publication passes through extensive double blind peer review process. The journal covers the multidisciplinary areas of Engineering, Technology, Management, Sciences and Humanities. Authors can submit their original manuscripts for peer review. This journal locates in the following adressy: Yavatmal city, 623727, India.

Published Nov 9, 2025

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Vol. 10 No. 10 (2025): JMEA

Usubjonov Adxamjon Axadjon o’g’li Xodjiyev Bahodir G’ulomovich, Tojiboyev Baxtiyor Zokirjon o’g’li

Abstract

This paper discusses the concept of the Bergman kernel for classical domains

such as the disk, half-plane, and annulus, and explores its main properties. The

Bergman space and the associated class of analytic functions are analyzed. Explicit

formulas for the Bergman kernel in classical domains are presented, along with their

possible applications

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