The STUDIA UNIVERSITATIS BABE┼×-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:   ON CONVOLUTION, CONVEX AND STARLIKE MAPPINGS.

Authors:  MARTIN CHUAQUI, BRAD OSGOOD.
 
       
         
  Abstract:  
DOI: 10.24193/subbmath. 2022.2.17

Published Online: 2022-06-10
Published Print: 2022-06-30
pp. 431-440

VIEW PDF


FULL PDF

Abstract: Let C and S stand for the classes of convex and starlike mapping in D, and let co(C), co(S) denote the closures of the respective convex hulls. We derive characterizations for when the convolution of mappings in co(C) is convex, as well as when the convolution of mappings in co(S) is starlike. Several characterizations in terms of convolution are given for convexity within co(C) and for starlikeness within co(S). We also obtain a correspondence via convo- lution between C and S, as well as correspondences between the subclasses of convex and starlike mappings that have n-fold symmetry.

Key words: Convolution, convex mapping, starlike mapping, convex polygon, slit mapping, Polya-Schoenberg conjecture.

Mathematics Subject Classification (2010): 30C45, 30C30.
 
         
     
         
         
      Back to previous page