Uniqueness and zeros of <Emphasis Type="Italic">q</Emphasis>-shift difference polynomials |
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| Authors: | KAI LIU XIN-LING LIU TING-BIN CAO |
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| Institution: | (1) Department of Mathematics and Physics, Shanghai Dianji University, Shanghai, 200240, PR China;(2) Department of Mathematics, Shandong University, Jinan, 250100, PR China |
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| Abstract: | In this paper, we consider the zero distributions of q-shift difference polynomials of meromorphic functions with zero order, and obtain two theorems that extend the classical
Hayman results on the zeros of differential polynomials to q-shift difference polynomials. We also investigate the uniqueness problem of q-shift difference polynomials that share a common value. |
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