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On the Growth of a Polynomial with Constraints on Zeros

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Abstract

Considering a polynomial not vanishing in the unit disk, we obtain a few generalizations and refinements of some inequalities by Ankeny and Rivlin and the related recent inequalities by Kumar and Milovanović.

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Funding

This research was supported by the National Board for Higher Mathematics, Department of Atomic Energy, Government of India (Grant no. 02011/19/2022/R\( \& \)D-II/10212) and by the Science and Engineering Research Board, Department of Science and Technology, Government of India (Grant no. MTR/2022/000118).

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Correspondence to A. Mir.

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The article was submitted by the author in English.

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Mir, A. On the Growth of a Polynomial with Constraints on Zeros. Sib Math J 64, 1051–1061 (2023). https://doi.org/10.1134/S0037446623040250

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  • DOI: https://doi.org/10.1134/S0037446623040250

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