An explicit computation of the Bergman kernel function

DOI10.1080/17476933.2014.996214zbMath1322.32002arXiv1507.06150OpenAlexW2124739760MaRDI QIDQ5264637

Tomasz Beberok

Publication date: 27 July 2015

Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1507.06150

zbMATH Keywords

hypergeometric seriescomplex ellipsoids

Mathematics Subject Classification ID

Integral representations; canonical kernels (Szeg?, Bergman, etc.) (32A25)

Related Items

The Bergman kernel on some Hartogs domains

Cites Work

• An explicit computation of the Bergman kernel function
• The Bergman kernel of the minimal ball and applications
• Geometry of the symmetrized polydisc
• On reproducing kernels for multicircular domains of holomorphy
• Explicit formulas of the Bergman kernel for 3-dimensional complex ellipsoids
• Lu Qi-Keng's problem on some complex ellipsoids
• The Bergman kernel of complex ovals and multivariable hypergeometric functions
• New formulas of the Bergman kernels for complex ellipsoids in $\mathbb {C}^2$
• The Bergman kernel function: Explicit formulas and zeroes
• Bergman kernel for the two-dimensional balls
• A note on the Bergman kernel

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