Growth of a polynomial not vanishing in a disk

Abdullah Mir


This paper deals with the problem of finding some upper bound estimates for the maximum modulus of the derivative and higher order derivatives of a complex polynomial on a disk under the assumption that the polynomial has no zeros in another disk. The estimates obtained strengthen the well-known inequality of Ankeny and Rivlin about polynomials.


Polynomial; maximum modulus principle; zeros

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Data publikacji: 2019-12-19 10:33:47
Data złożenia artykułu: 2019-12-17 10:02:17


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