Előadó: SERGEI KALMYKOV (Far Eastern Federal University Vladivostok / Bolyai Inst. Szeged)
Majorization principle for meromorphic functions will be presented. Using this principle and some recent results on univalent functions new inequalities for polynomials and rational functions normalized on circular arcs are proved. These results improve and supplement corresponding statements of Lukashov, Tyskevich, Maergoiz, Rybakova, Dubinin, Olesov and the speaker, as well. Extremal cases also will be presented.