Abstract
In this paper, we investigate the value distributions of linear q-difference polynomials \(f^{n}(z)+\sum ^{l}_{j=1}a_{j}(z)f(q_{j}z+c_j)\) and \(f^{n}(z)\sum ^{l}_{j=1}a_{j}(z)f(q_{j}z+c_j)\) when f is a transcendental meromorphic function of zero order. The uniqueness theorems of q-difference polynomials were also considered.
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Communicated by Ali Abkar.
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The research was supported by Guangdong Basic and Applied Basic Research Foundation (Nos. 2018A0303130058, 2021A1515010062), NNSF of China (No. 11871379), and Funds of Education Department of Guangdong (2019KZDXM025)
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Xu, J., Luo, L. Some q-Shift Difference Results on Hayman Conjecture and Uniqueness Theorems. Bull. Iran. Math. Soc. 48, 1193–1204 (2022). https://doi.org/10.1007/s41980-021-00574-y
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DOI: https://doi.org/10.1007/s41980-021-00574-y