On the Transfinite Diameters of Related Sets. An Extension of Robinson’s Theorem

Journal of Contemporary Mathematical Analysis (Armenian Academy of Sciences)（2023）

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摘要

The paper is devoted to the transfinite diameters of some related sets. We discuss the Fekete theorem and its extension due to Robinson on the transfinite diameters of related sets, and prove an extension of Robinson’s theorem. The transfinite diameters of some special subsets of the unit circle are calculated explicitly by using Fekete’s and Robinson’s theorems.

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关键词

transfinite diameter,related sets,Fekete’s theorem,Robinson’s theorem

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