Polynomial estimates over exponential curves in \mathbb C²

2018/07/30 by Shirali Kadyrov, Kadyrov, Shirali, Yershat Sapazhanov +1
Mathematics · #Advanced Harmonic Analysis Research #Analytic and geometric function theory #Complex Variables (math.CV) #FOS: Mathematics #Meromorphic and Entire Functions

paper · pdf · doi:10.48550/arxiv.1807.11162

openalex publication_date 2018/07/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

For any complex α with non-zero imaginary part we show that Bernstein-Walsh type inequality holds on the piece of the curve \(e^z,e^αz) : z ∈ \mathbb C\. Our result extends a theorem of Coman-Poletsky \citeCP10 where they considered real-valued α.

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