Abstract
In this paper, we investigate the uniqueness of difference operators concerning an entire function by using the method of complex difference equations. The results include the difference analogues of the Brück conjecture. We also present some results on difference operators concerning an entire function with positive deficiency, which generalize the results of Heittokangas, Chen, Yi, et al.
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The first author is partially supported by Guangdong National Natural Science Foundation (No. 2014A030313422).
The second author is supported by Training Plan Fund of Outstanding Young Teachers of Higher Learning Institutions of Guangdong Province of China (No. Yq20145084602) and Guangdong National Natural Science Foundation (No. 2016A030313745).
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Huang, Z.B., Zhang, R.R. Uniqueness of the Differences of Meromorphic Functions. Anal Math 44, 461–473 (2018). https://doi.org/10.1007/s10476-018-0306-x
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DOI: https://doi.org/10.1007/s10476-018-0306-x