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1996•Complex Variables Theory and Application An International JournalRequires access

Uniqueness of meromorphic functions onCm

Pei-Chu Hu, Chung-Chun Yang

Open publisher page 13 citations

Abstract

In this paper, some basic theorems of value distribution theory and techniques in studying the uniqueness of meromorphic functions on Cm are introduced. In particular, we have extended the lemma of Nevanlinna for linear combination of meromorphic functions on C to the case of several complex variables. Several uniqueness theorems of meromorphic functions of one complex variable such as Nevanlinna's four-point theorem and as well as unique range sets of entire functions have been extended to meromorphic functions on Cm .

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What this paper is about

In this paper, some basic theorems of value distribution theory and techniques in studying the uniqueness of meromorphic functions on Cm are introduced. In particular, we have extended the lemma of Nevanlinna for linear combination of meromorphic functions on C to the case of several complex variables. Several uniqueness theorems of meromorphic functions of one complex variable such as Nevanlinna's four-point theorem and as well as unique range sets of entire functions have been extended to meromorphic functions on Cm .

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OpenAlex reports 13 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

In this paper, some basic theorems of value distribution theory and techniques in studying the uniqueness of meromorphic functions on Cm are introduced. In particular, we have extended the lemma of Nevanlinna for linear combination of meromorphic functions on C to the case of several complex variables. Several uniqueness theorems of meromorphic functions of one complex variable such as Nevanlinna's four-point theorem and as well as unique range sets of entire functions have been extended to meromorphic functions on Cm .

Key concepts: Meromorphic function, Uniqueness, Mathematics, Nevanlinna theory, Lemma (botany), Pure mathematics, Uniqueness theorem for Poisson's equation, Analytic function

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