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Uniqueness and zeros of q-shift difference polynomials

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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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Authors and Affiliations

  1. Department of Mathematics, Nanchang University, Nanchang, Jiangxi, 330031, People’s Republic of China

    KAI LIU, XIN-LING LIU & TING-BIN CAO

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  1. KAI LIU
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  2. XIN-LING LIU
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  3. TING-BIN CAO
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Correspondence to KAI LIU.

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LIU, K., LIU, XL. & CAO, TB. Uniqueness and zeros of q-shift difference polynomials. Proc Math Sci 121, 301–310 (2011). https://doi.org/10.1007/s12044-011-0038-3

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  • DOI: https://doi.org/10.1007/s12044-011-0038-3

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