Zeros and coefficients

Alexandre Eremenko

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arXiv · 2209.12022

Zeros and coefficients

Alexandre Eremenko

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Abstract

Two theorems on the asymptotic distribution of zeros of sequences of analytic functions are proved. First one relates the asymptotic behavior of zeros to the asymptotic behavior of coefficients. Second theorem establishes a relation between the asymptotic behaviors of zeros of a function and zeros of derivative.

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Alexandre Eremenko. 2022-09-24. Zeros and coefficients. https://arxiv.org/abs/2209.12022

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