Toeplitz Matrices Whose Elements are the Coefficients of Starlike and Close-to-Convex Functions



Let f be analytic in \(D=\{z: |z|< 1\}\) with \(f(z)=z+\sum _{n=2}^{\infty }a_{n}z^{n}\). Suppose that \(S^*\) is the class of starlike functions, and K is the class of close-to-convex functions. The paper instigates a study of finding estimates for Toeplitz determinants whose elements are the coefficients \(a_{n}\) for f in \(S^*\) and K.


Univalent functions Coefficients Starlike Close-to-convex Toeplitz matrices 

Mathematics Subject Classification

30C45 30C50 



The authors wish to thank the referee for his/her comments and suggestions in improving the paper.


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Copyright information

© Malaysian Mathematical Sciences Society and Penerbit Universiti Sains Malaysia 2016

Authors and Affiliations

  1. 1.Department of MathematicsSwansea UniversitySwanseaUK
  2. 2.Institute of Mathematical SciencesUniversity of MalayaKuala LumpurMalaysia

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