Uniqueness and zeros of q-shift difference polynomials

Uniqueness and zeros of q-shift difference polynomials
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DOI:
10.1007/s12044-011-0038-3
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发表时间:
2011-08
期刊:
Proceedings - Mathematical Sciences
影响因子:
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通讯作者:
Kai Liu;Xinling Liu;T. Cao
Kai Liu;Xinling Liu;T. Cao
中科院分区:
其他
文献类型:
--
作者:
Kai Liu;Xinling Liu;T. Cao

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本文考虑零级亚纯函数的q-移位差分多项式的零点分布,得到了两个定理,将经典的Hayman结果推广到q-移位差分多项式的零点。我们还研究了具有公共值的q移位差分多项式的唯一性问题。
In this paper, we consider the zero distributions ofq-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 toq-shift difference polynomials. We also investigate the uniqueness problem ofq-shift difference polynomials that share a common value.