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The Bergman Kernel of Complex Ovals and Multivariable Hypergeometric Functions

✍ Scribed by Gábor Francsics; Nicholas Hanges

Publisher
Elsevier Science
Year
1996
Tongue
English
Weight
683 KB
Volume
142
Category
Article
ISSN
0022-1236

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✦ Synopsis

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 pseudoconvex boundary points.

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