Remote Access Mathematics of Computation
Green Open Access

Mathematics of Computation

ISSN 1088-6842(online) ISSN 0025-5718(print)



A numerical determination of the modulus of doubly connected domains by using the Bergman curvature

Author: J. Burbea
Journal: Math. Comp. 25 (1971), 743-756
MSC: Primary 30.40; Secondary 65.00
MathSciNet review: 0289758
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: The moduli of doubly connected domains are computed by means of the Bergman curvature associated with the Bergman function of the domain. The moduli of nonconcentric annuli, elliptic rings, confocal elliptic rings, squares inside circles and squares inside squares are determined by this method.

References [Enhancements On Off] (What's this?)

Similar Articles

Retrieve articles in Mathematics of Computation with MSC: 30.40, 65.00

Retrieve articles in all journals with MSC: 30.40, 65.00

Additional Information

Keywords: Bergman curvature, Bergman kernel, Bergman metric, conformal invariance, modulus, reproducing kernel, Szegö kernel, theorema egregium
Article copyright: © Copyright 1971 American Mathematical Society