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Uniqueness of \(q\)-shift difference and differential polynomials of entire functions. (English) Zbl 1332.30049

Summary: In this paper, we investigate the value distribution of \(q\)-shift difference and differential polynomials of meromorphic functions and study their uniqueness for entire functions of zero order. We deduce the results of X.-M. Zheng and H.-Y. Xu [“On value distribution and uniqueness of meromorphic function with finite logarithmic order concerning its derivative and \(q\)-shift difference”, J. Inequal. Appl. 2014:295, 11 pp. (2014)] as a particular case of our results.

MSC:

30D35 Value distribution of meromorphic functions of one complex variable, Nevanlinna theory
39A13 Difference equations, scaling (\(q\)-differences)
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