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1995•Complex Variables Theory and Application An International JournalRequires access

The unique range sets for entire or meromorphic functions

Hong‐Xun Yi

Open publisher page 22 citations

Abstract

This paper studies the unique range sets of entire or meromorphic functions and shows that there exists a finite set Swith 13 elements such that for any two nonconstant meromorphic functions fand gthe condition Ef(S)= Eg(S)implies f≡ g. As a special case this also answers an open question posed by Gross about entire functions.

About this research paper

What this paper is about

This paper studies the unique range sets of entire or meromorphic functions and shows that there exists a finite set Swith 13 elements such that for any two nonconstant meromorphic functions fand gthe condition Ef(S)= Eg(S)implies f≡ g. As a special case this also answers an open question posed by Gross about entire functions.

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OpenAlex reports 22 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

This paper studies the unique range sets of entire or meromorphic functions and shows that there exists a finite set Swith 13 elements such that for any two nonconstant meromorphic functions fand gthe condition Ef(S)= Eg(S)implies f≡ g. As a special case this also answers an open question posed by Gross about entire functions.

Key concepts: Meromorphic function, Mathematics, Range (aeronautics), Set (abstract data type), Entire function, Pure mathematics, Finite set, Algebra over a field

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