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Fekete–Szegö problem for a class of \(\lambda \)-convex and \(\mu \)-starlike functions associated with k-th root transformation using quasi-subordination

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Abstract

In this paper, we obtain the estimates with k-th root transformation for certain classes of analytic univalent functions using quasi-subordination. Some interesting remarks of the results presented here are also discussed.

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Acknowledgements

The authors are very much thankful to the editor-in-chief and the anonymous referees for their comments and suggestions on this paper.

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Authors and Affiliations

  1. Post-Graduate and Research Department of Mathematics, Government Arts College for Men, Krishnagiri, Tamilnadu, 635001, India

    N. Magesh

  2. Department of Mathematics, L. N. Govt College, Ponneri, Chennai, Tamilnadu, India

    V. K. Balaji

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  1. N. Magesh
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  2. V. K. Balaji
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Correspondence to N. Magesh.

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All authors jointly worked on the results and they read and approved the final manuscript.

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Magesh, N., Balaji, V.K. Fekete–Szegö problem for a class of \(\lambda \)-convex and \(\mu \)-starlike functions associated with k-th root transformation using quasi-subordination. Afr. Mat. 29, 775–782 (2018). https://doi.org/10.1007/s13370-018-0575-3

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  • DOI: https://doi.org/10.1007/s13370-018-0575-3

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