Geodesic
Growth of a polynomial not vanishing in a disk
Annales Universitatis Mariae Curie-Skłodowska. Mathematica , Tome 73 (2019) no. 1, pp. 41-48.

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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.
Keywords: Polynomial, maximum modulus principle, zeros 
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Mir, Abdullah. Growth of a polynomial not vanishing in a disk. Annales Universitatis Mariae Curie-Skłodowska. Mathematica , Tome 73 (2019) no. 1, pp. 41-48. http://geodesic.mathdoc.fr/item/AUM_2019_73_1_a1/

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