Abstract
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.
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13 March 2018
The authors have retracted this article because the article contains major flaws in the proof of the main results. The results of the paper are invalid, since the assumption that the functionals considered are rotationally invariant is not valid. All authors have agreed to this retraction.
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The authors wish to thank the referee for his/her comments and suggestions in improving the paper.
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Communicated by Rosihan M. Ali.
The authors have retracted this article because the article contains major flaws in the proof of the main results. The results of the paper are invalid, since the assumption that the functionals considered are rotationally invariant is not valid. All authors have agreed to this retraction
A correction to this article is available online at https://doi.org/10.1007/s40840-018-0620-2.
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Thomas, D.K., Abdul Halim, S. RETRACTED ARTICLE: Toeplitz Matrices Whose Elements are the Coefficients of Starlike and Close-to-Convex Functions. Bull. Malays. Math. Sci. Soc. 40, 1781–1790 (2017). https://doi.org/10.1007/s40840-016-0385-4
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DOI: https://doi.org/10.1007/s40840-016-0385-4