1992Complex Variables Theory and Application An International JournalRequires access

Meromorphic functions that share three values IM and a fourth value CM

G. Gary Gundersen

Open publisher page 38 citations

Abstract

The main open question in the theory of meromorphic functions that share four values is: If two nonconstant meromorphic functions share three values ignoring multiplicities and share a fourth value counting multiplicities, then do the functions necessarily share all four values counting multiplicities? We prove a partial result on this question.

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What this paper is about

The main open question in the theory of meromorphic functions that share four values is: If two nonconstant meromorphic functions share three values ignoring multiplicities and share a fourth value counting multiplicities, then do the functions necessarily share all four values counting multiplicities? We prove a partial result on this question.

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OpenAlex reports 38 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

The main open question in the theory of meromorphic functions that share four values is: If two nonconstant meromorphic functions share three values ignoring multiplicities and share a fourth value counting multiplicities, then do the functions necessarily share all four values counting multiplicities? We prove a partial result on this question.

Key concepts: Meromorphic function, Mathematics, Value (mathematics), Pure mathematics, Statistics

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