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A Turán-type inequality for polynomials

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Abstract

In this paper, we consider the class of polynomials \(P(z):=\sum \limits _{j=0}^{n}c_jz^j\) having all zeros in a closed disk \(|z|\le k,\text {where}~ k\ge 1\) and obtain a result that improves and generalizes the results of Govil, Jain and others by using certain coefficients of P(z).

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Correspondence to Abdullah Mir.

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Communicated by Indranil Biswas.

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Mir, A. A Turán-type inequality for polynomials. Indian J Pure Appl Math 52, 911–914 (2021). https://doi.org/10.1007/s13226-021-00038-3

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  • DOI: https://doi.org/10.1007/s13226-021-00038-3

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