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Article overview
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Explicit formulas of the Bergman kernel for some Reinhardt domains | Tomasz Beberok
; | Date: |
21 Jul 2015 | Abstract: | In this paper we obtain the closed forms of some hypergeometric functions. As
an application, we obtain the explicit forms of the Bergman kernel functions
for Reinhardt domains ${|z_3|^{lambda} < |z_1|^{2p} + |z_2|^2, quad
|z_1|^{2p} + |z_2|^2 < |z_1|^{p} }$ and ${|z_4|^{lambda} < (|z_1|^2 +
|z_2|^2)^{p} + |z_3|^2, quad (|z_1|^2 + |z_2|^2)^{p} + |z_3|^2 < (|z_1|^2 +
|z_2|^2 )^{p/2} }$. | Source: | arXiv, 1507.5879 | Services: | Forum | Review | PDF | Favorites |
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