Bergman kernel for the two-dimensional balls

DOI10.1080/02781070310001657967zbMath1057.32002OpenAlexW2548829999MaRDI QIDQ4821892

Keiko Fujita

Publication date: 22 October 2004

Published in: Complex Variables, Theory and Application: An International Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/02781070310001657967

zbMATH Keywords

spherical harmonicLegendre polynomialLie ball

Mathematics Subject Classification ID

Spherical harmonics (33C55) Integral representations; canonical kernels (Szeg?, Bergman, etc.) (32A25) Orthogonal polynomials and functions in several variables expressible in terms of basic hypergeometric functions in one variable (33D50)

Related Items (4)

Explicit formulas of the Bergman kernel for some Reinhardt domains ⋮ The explicit forms and zeros of the Bergman kernel function for Hartogs type domains ⋮ New formulas of the Bergman kernels for complex ellipsoids in $\mathbb {C}^2$ ⋮ An explicit computation of the Bergman kernel function

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