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Ghiloufi, Noureddine,Snoun, Safa Korean Mathematical Society 2022 대한수학회지 Vol.59 No.3
In this paper we determine explicitly the kernels 𝕜<sub>α,β</sub> associated with new Bergman spaces A<sup>2</sup><sub>α,β</sub>(𝔻) considered recently by the first author and M. Zaway. Then we study the distribution of the zeros of these kernels essentially when α ∈ ℕ where the zeros are given by the zeros of a real polynomial Q<sub>α,β</sub>. Some numerical results are given throughout the paper.
Noureddine Ghiloufi,Safa Snoun 대한수학회 2022 대한수학회지 Vol.59 No.3
In this paper we determine explicitly the kernels $\mathbb K_{\alpha,\beta}$ associated with new Bergman spaces $\mathcal A_{\alpha,\beta}^2(\mathbb D)$ considered recently by the first author and M. Zaway. Then we study the distribution of the zeros of these kernels essentially when $\alpha\in\mathbb N$ where the zeros are given by the zeros of a real polynomial $Q_{\alpha,\beta}$. Some numerical results are given throughout the paper.