V. N. Dubinin, “Lemniscate zone and distortion theorems for multivalent functions”, Zap. Nauchn. Sem. POMI, 2017, Volume 458,Pages <nobr>17

This article is cited in 1 paper

Lemniscate zone and distortion theorems for multivalent functions

V. N. Dubinin^ab

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

Abstract: The impact of the connectivity of some lemniscates of the multivalent function on the absolute value of this function or its derivative is considered.

Key words and phrases: lemniscates, multivalent functions, distortion theorems, Zolotarev fractions, rational functions, symmetrization.

UDC: 517.5

Received: 03.07.2017