Growth of a polynomial with restricted zeros
Original Research Paper
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Abstract
In this paper, we establish some upper bound estimates for the maximal modulus of a polynomial on a disk \(|z|=R, \,R\ge 1\), when there is a restriction on its zeros. The obtained results generalize as well as sharpen some already known estimates due to Govil, Dalal and Govil, Dewan and Bhat and the classical result of Ankeny and Rivlin.
Keywords
Polynomial Maximum modulus ZerosMathematics Subject Classification
30A10 30C10 30C15Notes
Compliance with ethical standards
Conflict of interest
The authors declare that they have no conflict of interest.
Research involving human participants and/or animals
There was no research involving human participants and/or animals.
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