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Hermitian–Toeplitz determinants for certain univalent functions

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Abstract

Sharp upper and lower bounds for the second and third order Hermitian–Toeplitz determinants are obtained for some general subclasses of starlike and convex functions. Applications of these results are also discussed for several widely known classes.

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Funding

The work of the Surya Giri is supported by University Grant Commission, New-Delhi, India under UGC-Ref. No. 1112/(CSIR-UGC NET JUNE 2019).

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Authors and Affiliations

  1. Department of Applied Mathematics, Delhi Technological University, New Delhi, 110042, India

    Surya Giri & S. Sivaprasad Kumar

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  1. Surya Giri
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  2. S. Sivaprasad Kumar
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Each author contributed equally to the research and preparation of manuscript.

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Correspondence to S. Sivaprasad Kumar.

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Giri, S., Kumar, S.S. Hermitian–Toeplitz determinants for certain univalent functions. Anal.Math.Phys. 13, 37 (2023). https://doi.org/10.1007/s13324-023-00800-2

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