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Information × Registration Number 0221U102430, 0116U003060 , R & D reports Title Metric and geometric problems of the theory of analytic and subharmonic functions and sets popup.stage_title Head Plaksa Sergiy A., Доктор фізико-математичних наук Registration Date 02-02-2021 Organization Institute of Mathematics of the National Academy of Sciences of Ukraine popup.description2  The purpose of the work is to research a wide range of topical issues of modern complex analysis such as the development of the theory of analytic functions, the theory of conformal and quasi-conformal mappings and their generalizations; the extremization of functionals on basic classes of the univalent functions and mapping families; the development of algebraic-analytical and topological methods of analysis and their application to multidimensional complex analysis, to boundary value problems of function theory and mathematical physics. The study includes the following sections: 1. Algebraic and topological methods of research of generalized convex sets and mappings. 2. Extreme-metric problems of the theory of analytical functions of a complex variable. 3. Geometric problems of the theory of quasi-conformal mappings and their generalizations. 4. Complex and hypercomplex methods of research of elliptic equations and boundary value problems of mathematical physics. The results of the work will find application in the theory of functions, potential theory, mapping theory, in the theory of boundary value problems for equations of mathematical physics, which, in turn, are used in hydrodynamics, gas dynamics, thermo-physics, mechanics, theoretical physics, tomography, and other applied disciplines. Product Description popup.authors popup.nrat_date 2021-02-02 Close