The \(q\)-difference theorems for meromorphic functions of several variables
type: Item
instance of: scholarly article
title: The \(q\)-difference theorems for meromorphic functions of several variables
zbMATH Open document ID: 1474.32011
DOI: 10.1155/2014/736021
author: Zhi-Tao Wen
published in: Abstract and Applied Analysis
publication date: 2019-02-14T00:00:00Z
review text: Summary: We investigate \(q\)-shift analogue of the lemma on logarithmic derivative of several variables. Let \(f\) be a meromorphic function in \(\mathbb C^n\) of zero order such that \(f(0) \neq 0\), \(\infty\), and let \(q \in \mathbb C^n \backslash \{0 \}\). Then we have \(m(r, f(q z) / f(z)) = o(T(r, f))\) on a set of logarithmic density 1. The \(q\)-shift analogue of the first and the second main theorems of Nevanlinna theory of several variables and their applications is also shown.
Mathematics Subject Classification ID: 32A20
zbMATH DE Number: 7022979
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/736021
OpenAlex ID: W1967733206
Wikidata QID: Q59041060
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description: scientific article; zbMATH DE number 7022979