V. N. Dubinin, “On the Jenkins covering circle theorem for holomorphic functions in a disk”, Zap. Nauchn. Sem. POMI, 2013, Volume 418,Pages <nobr>60

This article is cited in 3 papers

On the Jenkins covering circle theorem for holomorphic functions in a disk

V. N. Dubinin^ab

^a Institute of Applied Mathematics, Far-Eastern Branch of the Russian Academy of Sciences, Vladivostok, Russia
^b Far Eastern Federal University, Vladivostok, Russia

Abstract: The well-known Jenkins' theorem on values omitted by univalent functions is extended for some meromorphic $p$-valent functions in the unit disk. The multiplicity of the function covering and the values of the functions in the critical points is taken into account.

Key words and phrases: symmetrization, condencer capacity, Riemann surface, $p$-valent function.

UDC: 517.54

Received: 01.07.2013