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Uniqueness theorem on meromorphic functions and their difference operators

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In this paper, we study the uniqueness problems of meromorphic functions and their difference operators. Our main result is a difference analogue of a result of Jank–Mues–Volkmann, which is concerned… Click to show full abstract

In this paper, we study the uniqueness problems of meromorphic functions and their difference operators. Our main result is a difference analogue of a result of Jank–Mues–Volkmann, which is concerned with the uniqueness of an entire function sharing one finite value with its derivatives. Some recent papers studied the case of entire functions of finite order sharing a periodic small function to f. We consider the case of meromorphic functions of finite order sharing a polynomial, which is a more popular case. Examples are provided for our results.

Keywords: difference; functions difference; meromorphic functions; uniqueness theorem; difference operators; theorem meromorphic

Journal Title: Advances in Difference Equations
Year Published: 2018

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