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The Bergman kernel function: Explicit formulas and zeroes |
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| Authors: | Harold P. Boas Siqi Fu Emil J. Straube |
| Affiliation: | Department of Mathematics, Texas A&M University, College Station, Texas 77843--3368 ; Department of Mathematics, Texas A&M University, College Station, Texas 77843--3368 ; Department of Mathematics, Texas A&M University, College Station, Texas 77843--3368 |
| Abstract: | We show how to compute the Bergman kernel functions of some special domains in a simple way. As an application of the explicit formulas, we show that the Bergman kernel functions of some convex domains, for instance the domain in  defined by the inequality  , have zeroes. |
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