Geodesic
A Note on Comparison of Annuli Containing all the Zeros of a Polynomial
Kragujevac Journal of Mathematics, Tome 46 (2022) no. 1, p. 139

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If $P(z)$ is a polynomial of degree $n$, then for a subclass of polynomials, Dalal and Govil \cite{DG3} compared the bounds, containing all the zeros, for two different results with two different real sequences $\lambda_k>0$, $\sum_{k=1}^n \lambda_k=1$. In this paper, we prove a more general result, by which one can compare the bounds of two different results with the same sequence of real or complex $\lambda_k$, $\sum_{k=0}^n\abs{\lambda_k}\le 1$. A variety of other results have been extended in this direction, which in particular include several known extensions and generalizations of a classical result of Cauchy \cite{C}, from this result by a fairly uniform manner.
Classification : 30C15, 26C10
Keywords: polynomial, zeros, Fibonacci's numbers 
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     title = {A {Note} on {Comparison} of {Annuli} {Containing} all the {Zeros} of a {Polynomial}},
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Sunil Hans; Amit Tomar; Jianheng Chen. A Note on Comparison of Annuli Containing all the Zeros of a Polynomial. Kragujevac Journal of Mathematics, Tome 46 (2022) no. 1, p. 139 . http://geodesic.mathdoc.fr/item/KJM_2022_46_1_a10/