Abstract
We give an explicit computation of the Bergman kernel function on the domain {Mathematical expression} contained in complex Euclidean space of dimension n +m. Here p is any positive number. We obtain the exact formula {Mathematical expression} The constants ck depend on k, n, m, p and we compute them. Writing {Mathematical expression} we obtain the formula {Mathematical expression} and determine d j by evaluating the parameter y at the negative integers. For example {Mathematical expression}
| Original language | English (US) |
|---|---|
| Pages (from-to) | 23-34 |
| Number of pages | 12 |
| Journal | The Journal of Geometric Analysis |
| Volume | 4 |
| Issue number | 1 |
| DOIs | |
| State | Published - Mar 1994 |
Keywords
- Bergman kernel function
- Beta function
- Math Subject Classification: 32H10, 32F15
- several complex variables
- weakly pseudoconvex
ASJC Scopus subject areas
- Geometry and Topology