Publications
Preprint · arXiv · July 30, 2018
Polynomial estimates over exponential curves in $\mathbb C^2$
Shirali Kadyrov, Yershat Sapazhanov
Abstract
For any complex $α$ with non-zero imaginary part we show that Bernstein-Walsh type inequality holds on the piece of the curve $\{(e^z,e^{αz}) : z \in \mathbb C\}$. Our result extends a theorem of Coman-Poletsky \cite{CP10} where they considered real-valued $α$.
Holomorphic and Operator TheoryMathematical functions and polynomialsAnalytic and geometric function theoryexponential curve
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