一类时滞微分多项式的值分布

IF 1 4区综合性期刊 Q3 MULTIDISCIPLINARY SCIENCES

Scienceasia Pub Date : 2022-05-15 DOI:10.2306/scienceasia1513-1874.2023.010

Nan Li, Lian-Zhong Yang

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引用次数: 0

摘要

给定一个有限阶$\rho$的完整函数$f$，设$L(z,f)=\sum_{j=0}^{m}b_{j}(z)f^{(k_{j})}(z+c_{j})$是$f$的线性延迟微分多项式，具有$O(r^{\lambda+\varepsilon})+S(r,f)$, $\lambda<\rho$意义上的小系数。假设$\alpha$和$\beta$是类似的小函数，我们分别考虑$L(z,f)-\alpha f^{n}-\beta$对$n\geq 3$和$n=2$的零分布。我们的研究结果是对Chen(Abstract，应用)的改进和补充。分析的[j] .数学学报，2011,2011:ID239853, 1—9]。分析的应用科学学报，2019,469(2):808—826。

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On value distribution of certain delay-differential polynomials

Given an entire function $f$ of finite order $\rho$, let $L(z,f)=\sum_{j=0}^{m}b_{j}(z)f^{(k_{j})}(z+c_{j})$ be a linear delay-differential polynomial of $f$ with small coefficients in the sense of $O(r^{\lambda+\varepsilon})+S(r,f)$, $\lambda<\rho$. Provided $\alpha$, $\beta$ be similar small functions, we consider the zero distribution of $L(z,f)-\alpha f^{n}-\beta$ for $n\geq 3$ and $n=2$, respectively. Our results are improvements and complements of Chen(Abstract Appl. Anal., 2011, 2011: ID239853, 1--9), and Laine (J. Math. Anal. Appl. 2019, 469(2): 808--826.), etc.

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来源期刊

Scienceasia MULTIDISCIPLINARY SCIENCES-

CiteScore

1.70

自引率

33.30%

发文量

102

审稿时长

1 months

期刊介绍： ScienceAsia is a multidisciplinary journal publishing papers of high quality bimonthly, in printed and electronic versions, by the Science Society of Thailand under Royal Patronage and the National Research Council of Thailand. The journal publishes original research papers that provide novel findings and important contribution to broad area in science and mathematics. Areas covered include Biological Sciences and Biotechnology, Chemistry and Material Sciences, Environmental and Applied Sciences, and Mathematics and Physical Sciences. Manuscripts may report scientifically useful data, observations or model predictions, and/or provide a new scientific concept or a new explanation of published results. Submissions of materials of current scientific interest are highly welcome, provided that there is sufficient scientific merit. The journal will not accept manuscripts which have been published or are being considered for publication elsewhere, nor should manuscripts being considered by ScienceAsia be submitted to other journals. Submitted manuscripts must conform to the guidelines given in the Instructions for Authors