一類Hartogs域的Bergman核函數(shù)
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【Abstract]TheBergmankernelfunctionplaysanimportantroleinthetheoryofseveralcomplex variables.This paperconstructsanewclassofHartogsdomainsand，byemploying methodsfromcomplexanalysisandseveralcomplexvariablesheo ry，utilizesseries expansionsandthetransformationruleoftheBergmankernelunderbiholomorphicmappings toderivethe diffrentialrelationshipbetweenthe Bergmankerelsof thesedomainsandtheirbasedomains.Thisapproachprovidesa more straightforward method for computing the Bergman kernel functions on certain domains.
【Key words] Hartogs domain; Bergman kernel; starlike domain
[中圖分類號]0174.55 [文獻標識碼］A
[文章編號]1674-3229（2025）02-0016-07
0 引言
Bergman核函數(shù)的概念是波蘭著名數(shù)學家S.Bergman于20世紀20年代在研究平面區(qū)域之間的共形映照時引進的。（剩余5575字）