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arXiv · 2009.04307

Zeros of new Bergman kernels

Noureddine Ghiloufi·Safa Snoun
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Abstract

In this paper we determine explicitly the kernels $\mathbb K_{α,β}$ associated with new Bergman spaces $\mathcal A_{α,β}^2(\mathbb D)$ considered recently by the first author and M. Zaway. Then we study the distribution of the zeros of these kernels essentially when $α\in\mathbb N$ where the zeros are given by the zeros of a real polynomial $Q_{α,β}$. Some numerical results are given throughout the paper.

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Noureddine Ghiloufi, Safa Snoun. 2020-09-09. Zeros of new Bergman kernels. https://arxiv.org/abs/2009.04307

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