Document Type
Article
Publication Date
5-28-2025
Abstract
In this work, we provide a concise proof of the logarithmic derivative lemma in Cn. We start by giving a complete proof of a critical result by Biancofiore and Stoll (Ann. of Math. Stud., No. 100, 29–45, 1981) via matrix theory, which is central to this area of study. Then, we follow Li (Trans. Amer. Math. Soc. 363, 6257–6267, 2011) and Ye (Math. Z. 222, 81–95, 1996) to present the shortest proof to date.
Digital Object Identifier (DOI)
https://doi.org/10.1007/s11785-025-01701-x
Repository Citation
Han, Qi and Liu, Jingbo, "A Short Proof of the Lemma of the Logarithmic Derivative in Several Complex Variables" (2025). All Faculty Scholarship. 65.
https://digitalcommons.tamusa.edu/pubs_faculty/65
Comments
Originally published as:
Han, Q., Liu, J. A Short Proof of the Lemma of the Logarithmic Derivative in Several Complex Variables. Complex Anal. Oper. Theory 19, 92 (2025). https://doi.org/10.1007/s11785-025-01701-x
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