Research articles
ScienceAsia 49 (2023):ID 553-559 |doi:
10.2306/scienceasia1513-1874.2023.010
On value distribution of certain delay-differential polynomials
Nan Lia,*, Lianzhong Yangb
ABSTRACT: : Given an entire function f of finite order ?, let L(z, f ) = Pm
j=0
bj
(z)f
(kj
)
(z+cj
) be a linear delay-differential
polynomial of f with small coefficients in the sense of O(r
?+"
) + S(r, f ), ? < ?. Provided ? and ? are similar small
functions, we consider the zero distribution of L(z, f ) ? ?f
n ? ? 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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| a |
School of Mathematics, Qilu Normal University, Jinan, Shandong 250200 China |
| b |
School of Mathematics, Shandong University, Jinan, Shandong 250100 China |
* Corresponding author, E-mail: nanli32787310@163.com
Received 27 Jun 2022, Accepted 16 Nov 2022
|
