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The Sharp Bound of the Third Hankel Determinant for Starlike Functions of Order 1/2

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Abstract

The objective of this paper is to find the best possible upper bound of the third Hankel determinant for starlike function of order 1/2,  thus correcting the proof in Lecko et al. (Complex Anal Oper Theory 13(5):2231–2238, 2019).

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Acknowledgements

The authors are extremely grateful to the esteemed Reviewers for a careful reading of the manuscript and making valuable suggestions leading to a better presentation of the paper.

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Authors and Affiliations

  1. Department of Mathematics, GITAM School of Science, GITAM (Deemed to be University), Visakhapatnam- 530 045, A.P., India

    Biswajit Rath, K. Sanjay Kumar & D. Vamshee Krishna

  2. Department of Complex Analysis, University of Warmia and Mazury in Olsztyn, ul. Słoneczna 54, 10-710, Olsztyn, Poland

    Adam Lecko

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  1. Biswajit Rath
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  2. K. Sanjay Kumar
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  3. D. Vamshee Krishna
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  4. Adam Lecko
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Correspondence to Biswajit Rath.

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Communicated by Irene Sabadini, Michael Shapiro and Daniele Struppa.

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This article is part of the topical collection "Higher Dimensional Geometric Function Theory and Hypercomplex Analysis" edited by Irene Sabadini, Michael Shapiro and Daniele Struppa.

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Rath, B., Kumar, K.S., Krishna, D.V. et al. The Sharp Bound of the Third Hankel Determinant for Starlike Functions of Order 1/2. Complex Anal. Oper. Theory 16, 65 (2022). https://doi.org/10.1007/s11785-022-01241-8

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