Multivalent Functions

Vladimir N. Dubinin
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Vladimir N. Dubinin: Far Eastern Federal University, Institute of Applied Mathematics

Chapter Chapter 8 in Condenser Capacities and Symmetrization in Geometric Function Theory, 2014, pp 277-304 from Springer

Abstract: Abstract Applications of symmetrization to the analysis of the properties of multivalent functions were exposed in the monographs [H], [J], [Mit4]. Roughly speaking, there exist two lines of such applications, different in their approach to the multiplicity of the covering. The first approach consists in using majorization principles (which concern the behaviour of the inner radius of a domain, the capacity of a condenser, and so on under regular mappings) and then symmetrizing the plane images and using the monotonicity of the quantity under consideration.

Keywords: Riemann Surface; Meromorphic Function; Inverse Image; Regular Function; Extremal Function (search for similar items in EconPapers)
Date: 2014
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DOI: 10.1007/978-3-0348-0843-9_8

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