[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.4134/JKMS.j200373

ZEROS OF NEW BERGMAN KERNELS

Ghiloufi, Noureddine (Department of mathematics College of Science King Faisal University, University of Gabes Faculty of Sciences of Gabes LR17ES11 Mathematics and Applications)
Snoun, Safa (University of Gabes Faculty of Sciences of Gabes LR17ES11 Mathematics and Applications)

Publication Information

Journal of the Korean Mathematical Society / v.59, no.3, 2022 , pp. 449-468 More about this Journal

Abstract

In this paper we determine explicitly the kernels 𝕜_α,β associated with new Bergman spaces A²_α,β(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_α,β. Some numerical results are given throughout the paper.

Keywords

Bergman spaces; Bergman Kernels; zeros of holomorphic functions; algebraic sets;

Citations & Related Records

Reference

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