The STUDIA UNIVERSITATIS BABEŞ-BOLYAI issue article summary

The summary of the selected article appears at the bottom of the page. In order to get back to the contents of the issue this article belongs to you have to access the link from the title. In order to see all the articles of the archive which have as author/co-author one of the authors mentioned below, you have to access the link from the author's name.

 
       
         
    STUDIA MATHEMATICA - Issue no. 2 / 2022  
         
  Article:   A CRITERION OF UNIVALENCE IN CN IN TERMS OF THE SCHWARZIAN DERIVATIVE.

Authors:  RODRIGO HERNÁNDEZ.
 
       
         
  Abstract:  
DOI: 10.24193/subbmath. 2022.2.16

Published Online: 2022-06-10
Published Print: 2022-06-30
pp. 421-430

VIEW PDF


FULL PDF

Abstract: By using the using the Loewner Chain Theory, we obtain a new criterion of univalence in $C^n$ in terms of the Schwarzian derivative introduced in [3] by using the arguments in [8]. We as well derive explicitly the formula given in [3] by relating the Schwarzian derivative with the numerical method of approximation of zeros due to Halley.

Key words: Univalence criterion, Schwarzian derivative, Loewner chain, Halley method.

Mathematics Subject Classification (2010): 32A10, 32W50, 32H02
 
         
     
         
         
      Back to previous page