Geodesic
Normal family of holomorphic mappings and a generalization of Lappan's five-valued theorem to holomorphic mapping in several variables
Filomat, Tome 37 (2023) no. 26, p. 8813

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DOI

In this paper, we prove some results in normal family of holomorphic mappings intersecting with moving hypersurfaces. Our results strongly extend the Montel's normal criterion in several variables and some previous works. Moreover, we also give a generalization of Lappan's five-valued theorem to φ-normal mapping in several complex variables. In particular, we correct a result due to Hahn [Complex Variables, 6, 109-121,1986] about Lappan-type theorem for holomorphic curve in several variables.
DOI : 10.2298/FIL2326813C
Classification : 30D45, 32H30
Keywords: Holomorphic mapping, Normal family, Normal mapping, Meromorphic mapping 
Wei Chen; Jian Chen; Nguyen Van Thin. Normal family of holomorphic mappings and a generalization of Lappan's five-valued theorem to holomorphic mapping in several variables. Filomat, Tome 37 (2023) no. 26, p. 8813 . doi: 10.2298/FIL2326813C
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     author = {Wei Chen and Jian Chen and Nguyen Van Thin},
     title = {Normal family of holomorphic mappings and a generalization of {Lappan's} five-valued theorem to holomorphic mapping in several variables},
     journal = {Filomat},
     pages = {8813 },
     year = {2023},
     volume = {37},
     number = {26},
     doi = {10.2298/FIL2326813C},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2326813C/}
}
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