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].
引用
收藏
页码：553 / 559
页数：7
相关论文
共 50 条
  • [1] ZERO DISTRIBUTION OF SOME DELAY-DIFFERENTIAL POLYNOMIALS
    Laine, Ilpo
    Latreuch, Zinelaabidine
    BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, 2020, 57 (06) : 1541 - 1565
  • [2] On the value distribution of a certain type of differential polynomials
    Li, P
    Yang, CC
    MONATSHEFTE FUR MATHEMATIK, 1998, 125 (01): : 15 - 24
  • [3] On the value distribution of a certain type of differential polynomials
    Ping Li
    Chung-Chau Yang
    Monatshefte für Mathematik, 1998, 125 : 15 - 24
  • [4] On solutions of certain nonlinear delay-differential equations
    Xiang, Xuxu
    Long, Jianren
    Liu, Jianming
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2023, 527 (01)
  • [5] On the value distribution of differential polynomials
    Bhoosnurmath, Subhas S.
    Kulkarni, Milind Narayanrao
    Yu, Kit-Wing
    BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, 2008, 45 (03) : 427 - 435
  • [6] PAIRED HAYMAN CONJECTURE AND UNIQUENESS OF COMPLEX DELAY-DIFFERENTIAL POLYNOMIALS
    Gao, Yingchun
    Liu, Kai
    BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, 2022, 59 (01) : 155 - 166
  • [7] Entire solution of certain type of delay-differential equations
    Rajeshwari, S.
    Husna, V
    Buzurg, Sheeba Kousar
    ITALIAN JOURNAL OF PURE AND APPLIED MATHEMATICS, 2021, (46): : 850 - 856
  • [8] Paired Hayman Conjecture of Some Delay-Differential Polynomials That Share a Small Function
    Sahoo, Pulak
    Sultana, Soniya
    ANNALS OF THE UNIVERSITY OF CRAIOVA-MATHEMATICS AND COMPUTER SCIENCE SERIES, 2024, 51 (02): : 315 - 331
  • [9] Value Distribution of Certain Type of Difference Polynomials
    Li, Nan
    Yang, Lianzhong
    ABSTRACT AND APPLIED ANALYSIS, 2014,
  • [10] Value distribution of L-functions concerning shared values and certain differential polynomials
    Liu, Fang
    Li, Xiao-Min
    Yi, Hong-Xun
    PROCEEDINGS OF THE JAPAN ACADEMY SERIES A-MATHEMATICAL SCIENCES, 2017, 93 (05) : 41 - 46
12345