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Iteration of functions subordinate to schlicht functions

 

作者: Johnny E. Brown,  

 

期刊: Complex Variables, Theory and Application: An International Journal  （Taylor Available online 1987）
卷期: Volume 9, issue 2-3  

页码: 143-152

 

ISSN:0278-1077

 

年代: 1987

 

DOI:10.1080/17476938708814258

 

出版商: Gordon and Breach Science Publishers

 

关键词: 30C80

 

数据来源: Taylor

 

摘要:

For a fixed schlicht functionGusing iterations we find necessary and sufficient conditions on the coefficients of a functionfso thatfis subordinate toG. We also show how these iterations may be used to obtain sharp coefficient inequalities for such functions and apply the results to the Krzyż conjecture for 1 ≤n≤ 4.

 

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