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    STUDIA MATHEMATICA - Issue no. 3 / 2023  
         
  Article:   THEOREMS REGARDING STARLIKENESS AND CONVEXITY .

Authors:  LUMINIȚA IOANA COTÎRLĂ, OLGA ENGEL, RÓBERT SZÁSZ.
 
       
         
  Abstract:   DOI: 10.24193/subbmath.2023.3.05

Received 24February 2023; Accepted 19 June 2023. Published Online: 2023-09-30
Published Print: 2023-09-30
pp. 517-526

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Giving the sharp version of an univalence condition means to give the final response to an open question. We prove in this paper the sharp version of a starlikeness condition. The basic tool in our study is the convolution theory. We present a short history of the problem before the proof of the main result.

Mathematics Subject Classification (2010): 30C45, 30A10.
Keywords: Starlikeness, convexity, analytic functions, Alexander operator, Herglotz representation formula.
 
         
     
         
         
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