2013/02/05 by Do Duc Thai, Thai, Do Duc, Vu Duc Viet +1 · 1 citation
Mathematics · #14J70 #32H25 #Complex Variables (math.CV) #FOS: Mathematics #Meromorphic and Entire Functions #Primary 32H30 #Secondary 32H04 #math.CV #msc:14J70 #msc:32H04 #msc:32H25 #msc:32H30
paper · pdf · doi:10.48550/arxiv.1302.1107
The proof of the main result of this paper is not correct. We cannot rectify it. So we would like to withdraw it
openalex publication_date 2013/02/05 · arxiv created 2017/11/10 · arxiv updated 2017/11/13 · openalex created_date 2024/04/11 · openalex updated_date 2026/07/28
The purpose of this article is threefold. The first is to construct a Nevanlina theory for meromorphic mappings from a polydisc to a compact complex manifold. In particular, we give a simple proof of Lemma on logarithmic derivative for nonzero meromorphic functions on ℂl. The second is to improve the definition of the non-integrated defect relation of H. Fujimoto \citeF2 and to show two theorems on the new non-integrated defect relation of meromorphic maps from a closed submanifold of ℂl to a compact complex manifold. The third is to give a unicity theorem for meromorphic mappings from a Stein manifold to a compact complex manifold.