Colloquium in Mathematics and Computer Science,
New applications of the circular symmetrization to the multivalent functions
Prof. Vladimir Dubinin, Far Eastern Federal University, Russia
May 21, at 11:00 Science Building 8, Room 424
Earlier we proposed a new version of the circular symmetrization of the condensers on the Riemann surfaces [1]. This transformation of condensers allows to obtain new results taking into account the ramification points of the surfaces (for more details, see [2]). In the present talk, we discuss the applications of the symmetrization to p-valent functions, circumferentially mean p-valent functions and complex polynomials [3]-[6].
References:
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V.N.Dubinin, A new version of circular symmetrization with applications to p-valent functions, Sbornik: Mathematics, 203:7 (2012), 996–1011.
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V. N. Dubinin, Circular symmetrization of condensers on the Riemann surfaces, Mat. Sb., 206:1 (2015), 69–96.
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V.N.Dubinin, Symmetrization of condensers and inequalities for functions multivalent in a disk, Math. Notes. 94:6 (2013) , 876–884.
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V.N.Dubinin, On the Jenkins covering circle theorem for holomorphic functions in a disk, Journal of Mathematical Sciences (New York), 200:5 (2014), 551–558.
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V.N.Dubinin, On one extremal problem for complex polynomials with constraints on critical values, Siberian Math. Journal, 55:1(2014), 63–71.
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V.N.Dubinin, Inequalities for moduli of the circumferentially mean p-valent functions, Zap. Nauchn. Sem. POMI, 429 (2014), 44–54.
