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    STUDIA MATHEMATICA - Issue no. 2 / 2024  
         
  Article:   SYMMETRIC TOEPLITZ DETERMINANTS FOR CLASSES DEFINED BY POST QUANTUM OPERATORS SUBORDINATED TO THE LIMAÇON FUNCTION.

Authors:  SANGARAMBADI PADMANABHAN VIJAYALAKSHMI, THIRUMALAI VINJIMUR SUDHARSAN, TEODOR BULBOACĂ.
 
       
         
  Abstract:  DOI: 10.24193/subbmath.2024.2.04

Received 11 November 2023; Accepted 11 March 2024.
pp. 299-316

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The present extensive study is focused to find estimates for the upper bounds of the Toeplitz determinants. The logarithmic coefficients of univalent functions play an important role in different estimates in the theory of univalent functions, and in the this paper we derive the estimates of Toeplitz determinants and Toeplitz determinants of the logarithmic coefficients for the subclasses LsSqpL𝑠𝑆𝑝𝑞 and LsCqpL𝑠𝐶𝑝𝑞, 0
Mathematics Subject Classification (2010): 30C45, 30C50, 30C55.

Keywords: Limaçon domain; subordination; Toeplitz and Hankel determinants; symmetric Toeplitz determinant; logarithmic coefficients; starlike functions with respect to symmetric points
 
         
     
         
         
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