The Bergman kernel: explicit formulas, deflation, Lu Qi-Keng problem and Jacobi Polynomials

Abstract

In this paper we investigate the Bergman kernel function for intersection of two complex ellipsoids \(z,w1,w2) ∈ Cn+2 : |z1|2 + ·s + |zn|2 + |w1|q < 1, |z1|2 + ·s + |zn|2 + |w2|r < 1\.

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