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A remark on the uniform extendability of the Bergman kernel function

✍ Scribed by So-Chin Chen


Publisher
Springer
Year
1991
Tongue
English
Weight
269 KB
Volume
291
Category
Article
ISSN
0025-5831

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The Bergman Kernel of Complex Ovals and
✍ GΓ‘bor Francsics; Nicholas Hanges πŸ“‚ Article πŸ“… 1996 πŸ› Elsevier Science 🌐 English βš– 683 KB

We compute explicitly the Bergman and Szego kernels for a class of pseudoconvex domains. The kernels are expressed in terms of Appell's multivariable hypergeometric functions. These explicit formulas are applied to investigate the asymptotic behavior of the Bergman kernel near some weakly pseudoconv