×

On asymptotics of a piecewise analytic function satisfying contact conditions. (English. Russian original) Zbl 1278.30040

Sib. Math. J. 53, No. 5, 800-804 (2012); translation from Sib. Mat. Zh. 53, No. 5, 1001-1006 (2012).
Summary: We examine a piecewise analytic function that is defined in sectors of a disk whose real and imaginary parts obey contact conditions on the adjacent boundary parts. Under the assumption of power behavior, a sharp asymptotic of this function is established at the center of the disk.

MSC:

30E99 Miscellaneous topics of analysis in the complex plane
PDFBibTeX XMLCite
Full Text: DOI

References:

[1] Ovchinnikov Yu. N. and Luk’yanchuk I. A., ”Conductivity and field and current distributions in a two-component system composed of regular triangles,” JETP, 94, No. 1, 203–215 (2002). · doi:10.1134/1.1448623
[2] Its A. R. and Sukhanov V. V., ”A matrix Riemann problem on a system of rays and inverse problems of scattering theory,” Soviet Math., Dokl., 32, 137–140 (1985). · Zbl 0602.30050
[3] Soldatov A. P., Boundary Value Problems in the Theory of Functions in Domains with Piecewise-Smooth Boundary. Parts I and II [in Russian], Tbilissk. Gos. Univ., Tbilisi (1991). · Zbl 0854.30029
[4] Soldatov A. P., ”Generalized Riemann problem on a Riemann surface,” Dokl. Math., 58, No. 2, 279–282 (1998). · Zbl 0963.30026
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.