The Bergman kernel function: explicit formulas and zeroes
Harold P. Boas, Siqi Fu, Emil J. Straube
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 C3 defined by the inequality |z1|+|z2|+|z3|<1, have zeroes.
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