| 陈海莹,郑秀敏.有限级超越整函数的(微-)差分多项式的零点分布[J].数学年刊A辑,2020,41(4):371~382 |
| 有限级超越整函数的(微-)差分多项式的零点分布 |
| Zeros Distribution of (Differential-)Difference Polynomials of Transcendental Entire Functions of Finite Order |
| Received:May 30, 2019 Revised:August 15, 2020 |
| DOI：10.16205/j.cnki.cama.2020.0026 |
| 中文关键词: 亚纯函数, 差分多项式, 微-差分多项式, 零点 |
| 英文关键词:Meromorphic function, Difference polynomial, DifferentialDifference polynomial, Zero |
| 基金项目:国家自然科学基金(No.11761035)和江西省自然科学基金(No.20171BAB201002) |
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| 中文摘要: |
| 作者研究了有限级超越整函数的差分多项式和微-差分多项式的零点分布,在一定条件下得到了这些多项式的零点收敛指数的精确估计.所得结果可视为Hayman关于Picard例外值的经典结果的(微-)差分模拟. |
| 英文摘要: |
| In this paper, the authors investigate the zeros distribution of some difference polynomials and differential-difference polynomials of transcendental entire functions of fi-nite order, and obtain some exact estimates on the exponent of convergence of zeros of these polynomials under certain conditions. The results obtained can be regarded as (differential-) difference counterparts of Hayman’s classical results on Picard’s exceptional values. |
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