Some applications of generalized condensers to analytic function theory
Zapiski Nauchnykh Seminarov POMI, Analytical theory of numbers and theory of functions. Part 20, Tome 314 (2004), pp. 52-75
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New applications of generalized condensers with two or more plates are considered. Based on one and the same approach and simplest properties of such condensers, boundary distortion theorems for analytic univalent functions bounded in a disk are established, as well as bounds for certain combinations of coefficients in expansions of such functions, inequalities for polynomials, and theorems on extremal decompositions of the complex sphere. Part of the results obtained contains new information on the Schwarzian derivative of a regular univalent function.
@article{ZNSL_2004_314_a4,
author = {V. N. Dubinin and N. V. Eyrikh},
title = {Some applications of generalized condensers to analytic function theory},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {52--75},
publisher = {mathdoc},
volume = {314},
year = {2004},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_2004_314_a4/}
}
V. N. Dubinin; N. V. Eyrikh. Some applications of generalized condensers to analytic function theory. Zapiski Nauchnykh Seminarov POMI, Analytical theory of numbers and theory of functions. Part 20, Tome 314 (2004), pp. 52-75. http://geodesic.mathdoc.fr/item/ZNSL_2004_314_a4/