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Value distribution of general \(q\)-difference polynomials. (English) Zbl 1463.30145

Summary: In this article, we mainly study the value distribution of more general \(q\)-difference polynomials for a transcendental entire function of zero and finite order. These are significant generalization of earlier results. As a very special case, we obtain the results of N. X. Xu and C. P. Zhong and others.

MSC:

30D35 Value distribution of meromorphic functions of one complex variable, Nevanlinna theory
30D20 Entire functions of one complex variable (general theory)
39A13 Difference equations, scaling (\(q\)-differences)
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