Entire functions sharing a finite set with their difference operators (Q428963)
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scientific article; zbMATH DE number 6049599
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Entire functions sharing a finite set with their difference operators |
scientific article; zbMATH DE number 6049599 |
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Entire functions sharing a finite set with their difference operators (English)
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25 June 2012
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The author proves a result concerning the growth of solutions of a certain difference equation. He also obtains a uniqueness result on entire functions sharing a set with their difference operators, where the set consists of two entire functions of smaller orders. The author also proves a uniqueness result for entire functions sharing a finite set with their difference operators. The results obtained in this article are related with the articles [\textit{K. Liu}, J. Math. Anal. Appl. 359, No. 1, 384--393 (2009; Zbl 1177.30035)] and [\textit{Q. C. Zhang}, Indian J. Pure Appl. Math. 30, No. 7, 667--682 (1999; Zbl 0934.30025)].
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entire functions
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meromorphic functions and their shifts
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difference operators
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uniqueness theorems
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0.9660371
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0.9587193
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0.94629407
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0.94621724
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0.9458675
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0.9412266
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0.93367094
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