Communications of the Korean Mathematical Society (대한수학회논문집)

Korean Mathematical Society (대한수학회)
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TOEPLITZ DETERMINANTS FOR λ-PSEUDO-STARLIKE FUNCTIONS

  • Murat Caglar (Department of Mathematics Faculty of Science Erzurum Technical University) ;
  • Ismaila O. Ibrahim (Department of Physical Sciences Landmark University) ;
  • Timilehin Gideon Shaba (Department of Applied Mathematics Hanyang University) ;
  • Abbas Kareem Wanas (Department of Mathematics College of Science University of Al-Qadisiyah)
  • Received : 2022.08.19
  • Accepted : 2024.03.21
  • Published : 2024.07.31
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Abstract

In this article, by making use of the λ-pseudo-starlike functions, we introduce a certain family of normalized analytic functions in the open unit disk U and we establish coefficient estimates for the first four determinants of the Toeplitz matrices T2(2), T2(3), T3(2) and T3(1) for the functions belonging to this family. Further, some known and new results which follow as special cases of our results are also mentioned.

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Acknowledgement

The authors would like to express their sincerest thanks to the referees for their valuable comments and various useful suggestions.

References

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