Lower estimate in Littlewood's conjecture on the mean spherical derivative of a polynomial and iteration theory

Author:
A. È. Erëmenko

Journal:
Proc. Amer. Math. Soc. **112** (1991), 713-715

MSC:
Primary 30C10; Secondary 30B20, 30D15

MathSciNet review:
1065943

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Abstract: Lewis and Wu have proved J. E. Littlewood's conjecture of the growth of the spherical derivative of polynomials. We apply the theory of complex iteration to show that this conjecture is sharp in a qualitative sense.

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DOI:
https://doi.org/10.1090/S0002-9939-1991-1065943-1

Article copyright:
© Copyright 1991
American Mathematical Society