2020/10/18 by Ye-Won Luke Cho, Cho, Ye-Won Luke, Kang‐Tae Kim +1
Mathematics · #32A05 #32A10 #32M25 #32S65 #32U20 #Analytic and geometric function theory #Complex Variables (math.CV) #FOS: Mathematics #Holomorphic and Operator Theory #Meromorphic and Entire Functions
paper · pdf · doi:10.48550/arxiv.2010.08969
openalex publication_date 2020/10/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The main purpose of this article is to present a generalization of Forelli's theorem for the functions holomorphic along a general pencil of holomorphic discs. This generalizes the main result of \citeJKS13 and the original Forelli's theorem, and furthermore, answers one of the problems posed in \citeChirka06.