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On the Maximum Modulus of Polynomials

Name: On the Maximum Modulus of Polynomials
Creator: M. A. Qazi
Keywords: Polynomials and rational functions of one complex variable, 4. Education, Maximum principle, Schwarz's lemma, Lindelöf principle, analogues and generalizations; subordination, Special classes of entire functions of one complex variable and growth estimates, 0101 mathematics, 15. Life on land, 01 natural sciences, maximum modulus, entire functions of exponential type

On the maximum modulus of polynomials

descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 01 Jan 1992Publisher:JSTORJournal:Proceedings of the American Mathematical Society, volume 115, page 337 (issn: 0002-9939,

Authors: M. A. Qazi;

doi: 10.2307/2159250 , 10.1090/s0002-9939-1992-1113648-1

On the Maximum Modulus of Polynomials

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Abstract

The maximum modulus on | z | r > 1 |z|r > 1 of a polynomial of degree n n not vanishing in | z | > 1 |z| > 1 is estimated in terms of its maximum modulus on | z | = 1 |z| = 1 and certain of its coefficients. Some other related problems are also considered.

Keywords

Polynomials and rational functions of one complex variable, Maximum principle, Schwarz's lemma, Lindelöf principle, analogues and generalizations; subordination, Special classes of entire functions of one complex variable and growth estimates, maximum modulus, entire functions of exponential type

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