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    STUDIA MATHEMATICA - Issue no. 4 / 2021  
         
  Article:   COEFFICIENT BOUNDS FOR NEW SUBCLASSES OF ANALYTIC AND m-FOLD SYMMETRIC bi-UNIVALENT FUNCTIONS.

Authors:  ABBAS KAREEM WANAS, ÁGNES ORSOLYA PÁLL-SZABÓ.
 
       
         
  Abstract:  
DOI: 10.24193/subbmath. 2021.4.05

Published Online: 2021-12-14
Published Print: 2021-12-30
pp. 659-666

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In the present paper, we introduce and study two new subclasses of analytic and m-fold symmetric bi-univalent functions defined in the open unit disk U. Furthermore, for functions in each of the subclasses introduced here, we obtain upper bounds for the initial coefficients $left| a{m+1} ight|$ and $left| a_{2m+1} ight|$. Also, we indicate certain special cases for our results.

Keywords: Analytic function, univalent function, m-fold symmetric bi-univalent function, coefficient bound.

Mathematics Subject Classification (2010): 30C45, 30C50.
 
         
     
         
         
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