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,(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)
Author NameAffiliation
CHEN Haiying School of Mathematics and Statistics, Jiangxi Normal University, Nanchang 330022, China. 
ZHENG Xiumin Corresponding author. School of Mathematics and Statistics, Jiangxi Normal University, Nanchang 330022, China. 
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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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