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- W957360092 abstract "Ch. Pommerenke [4] proved the following theorem. Let $$ f(z) = {z^n} + {a_1}{z^{{n - 1}}} + {a_2}{z^{{n - 2}}} + cdots + {a_{{n - 1}}}z + {a_n} $$ be a polynomial of degree n with some a j ≠ 0. Assume that the region E f = {z ∈ ℂ: ∣f(z)∣ ≤ 1} is connected, where C denotes the field of complex numbers. Then $$ max left{{left| {f'(z)} right|:;z in {F_f}} right} frac{1}{2}e{n^2}. $$.KeywordsScientific PublComplex NumberExtremal ProblemWorld ScientificResearch ProblemThese keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves." @default.
- W957360092 created "2016-06-24" @default.
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- W957360092 date "1997-01-01" @default.
- W957360092 modified "2023-09-25" @default.
- W957360092 title "A theorem of Pommerenke and a conjecture of Erdős" @default.
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