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The sharp bound of the third Hankel determinant of kth-root transformation for analytic functions

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Abstract

In this paper, we delve into the fascinating realm of analytic mappings within the open unit disc, focusing on functions that are standardly normalized. Our research is centered on determining the sharp upper bound of the third Hankel determinant for a kth-root transformation applied to a specific subclass of these analytic functions.

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Authors and Affiliations

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

    Biswajit Rath, K. Sanjay Kumar & G. K. Surya Viswanadh

  2. Department of Mathematics, North-Eastern Hill University (NEHU), Umshing Mawkynroh, Shillong, Meghalaya, 793022, India

    D. Vamshee Krishna

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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. G. K. Surya Viswanadh
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Correspondence to Biswajit Rath.

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Rath, B., Sanjay Kumar, K., Vamshee Krishna, D. et al. The sharp bound of the third Hankel determinant of kth-root transformation for analytic functions. Afr. Mat. 35, 34 (2024). https://doi.org/10.1007/s13370-024-01174-9

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