This article is cited in 2 papers

Selected problems of geometrical theory of functions and potential theory

V. N. Dubinin, D. B. Karp, V. A. Shlyk

Institute of Applied Mathematics, Far-Eastern Branch of the Russian Academy of Sciences

Abstract: This paper represents a short survey of the key results in geometric function theory and related problems in special functions and potential theory obtained in the laboratory of mathematical analysis of the Institute of Applied Mathematics of the Far Eastern Branch of the Russian Academy of Sciences during the last seventeen years.

Key words: moduli of curve families, reduced moduli, capacities of condensers, symmetrization, polarization, dissymmetrization, analytic functions, distortion theorems, extremal partitions, Robin function, logarithmic capacity, polynomials, rational functions, generalized hypergeometric function, Appell function.

UDC: 517.53, 517.54, 517.57, 517.58, 517.956.224

MSC: Primary 30C10; Secondary 30C15 30C25 30C75 30C80 31A15 31B15 33C20 33C45 33

Received: 25.11.2008

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