[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.14403/jcms.2010.23.3.463

LOGARITHMIC CAPACITY UNDER CONFORMAL MAPPINGS OF THE UNIT DISC

Chung, Bohyun (Mathematics Section, College of Science and Technology Hongik University)

Publication Information

Journal of the Chungcheong Mathematical Society / v.23, no.3, 2010 , pp. 463-470 More about this Journal

Abstract

If P(f, r) is the set of endpoints of radii which have length greater than or equal to r > 0 under a conformal mapping f of the unit disc. Then for large r, the logarithmic capacity of P(f, r), $\frac{1}{\sqrt[2]{r}}{\leq}cap(P(f,r)){\leq}\frac{k}{\sqrt{r}}$ . Where k is the positive constant.

Keywords

conformal mapping; modulus;

Citations & Related Records

Times Cited By KSCI : 1 (Citation Analysis)

Reference
Cited By KSCI

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