On value distribution of certain delay-differential polynomials

被引：0
|
作者：
Li, Nan [1 ]
Yang, Lianzhong [2 ]
机构：
[1] Qilu Normal Univ, Sch Math, Jinan 250200, Shandong, Peoples R China
[2] Shandong Univ, Sch Math, Jinan, Shandong, Peoples R China
来源：
SCIENCEASIA | 2023年 / 49卷 / 04期
关键词：
meromorphic functions; delay-differential polynomial; value distribution; MEROMORPHIC FUNCTIONS; ZERO DISTRIBUTION;
D O I：
10.2306/scienceasia1513-1874.2023.010
中图分类号：
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
�m ABSTRACT: Given an entire function f of finite order & rho;, let L(z, f ) = j=0 bj(z)f (kj)(z+cj) be a linear delay-differential polynomial off with small coefficients in the sense of O(r & lambda;+") +S(r, f ), & lambda; < & rho;. Provided & alpha; and & beta; are similar small functions, we consider the zero distribution of L(z, f ) - & alpha;f n -& beta; for n > 3 and n = 2, respectively. Our results are improvements and complements of Chen [Abstract Appl Anal 2011 (2011):ID 239853), and Laine [J Math Anal Appl 469 (2019):808-826].
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页码：553 / 559
页数：7
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