FAR EASTERN BRANCH OF THE RUSSIAN ACADEMY OF SCIENCES
INSTITUTE OF APPLIED MATHEMATICS KHABAROVSK DIVISION
Far Eastern Mathematical Journal
On the covering of radial segments under $p$-valent mappings of a disk and an annulus |
V. N. Dubinin, V. Yu. Kim |
2007, issue 1-2, P. 40–47 |
Abstract |
| A covering theorem for radial segments is proved for p-valent functions in a circular annulus. As a corollary, a similar theorem for p-valent functions in a disc is obtained. These results contain many known covering theorems for conformal mappings. |
Keywords: $p$-valent function, conformal mapping, covering theorem, condenser capacity, dissymmetrization, Riemann surface |
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References |
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