|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.
|URI:||http://hdl.handle.net/11420/8919||ISSN:||0278-1077||Institute:||Zuverlässiges Rechnen E-19||Document Type:||Article|
|Appears in Collections:||Publications without fulltext|
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