Publisher DOI: 10.1080/02781070412331298615
Title: On small circles containing zeros and ones of analytic functions
Language: English
Authors: Batra, Prashant  
Issue Date: 2004
Source: Complex Variables, Theory and Application: An International Journal 49 (11): 787-791 (2006)
Journal or Series Name: Complex variables 
Abstract (english): 
Gol'dberg considered the class of functions with unequal positive numbers of zeros and ones inside the unit disc. The maximum modulus of zeros and ones in this class is bounded from below by a universal constant. This constant determines the limits of certain controller designs as well as covering regions of certain composites with schlicht functions. Considering lower bounds in a zero-free region of the extremal function the best known estimates of this constant are improved.
ISSN: 0278-1077
Institute: Zuverlässiges Rechnen E-19 
Document Type: Article
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