On the uniqueness problems of entire functions and their linear differential polynomials

被引：0

作者：

Majumder, Sujoy ^{[1
]}

Sarkar, Nabadwip ^{[1
]}

Das, Pradip ^{[1
]}

机构：

[1] Raiganj Univ, Dept Math, Raiganj 733134, W Bengal, India

来源：

BULLETIN OF THE BELGIAN MATHEMATICAL SOCIETY-SIMON STEVIN | 2024年 / 31卷 / 01期

关键词：

Entire functions; uniqueness; Nevanlinna theory; normal family; linear differential polynomials; NORMAL-FAMILIES; SHARE;

D O I：

10.36045/j.bbms.231009

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We use the idea of normal family to investigate the uniqueness problems for entire functions: f shares one finite non -zero value with its first derivative f ( 1 ) together with its certain type of linear differential polynomial L ( f ) of constant coefficients. The results here improve and generalize results obtained by Yang [15], Li and Yang [9] and Li [8].

引用

页码：70 / 86

页数：17

共 16 条

[1] Zeros of differences of meromorphic functions
Bergweiler, Walter
[J]. MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 2007, 142 : 133 - 147
[2] Meromorphic functions that share a set with their derivatives
Chang, Jianming
Zalcman, Lawrence
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2008, 338 (02) : 1020 - 1028
[3] Normal families of holomorphic functions
Chang, JM
Fang, ML
Zalcman, L
[J]. ILLINOIS JOURNAL OF MATHEMATICS, 2004, 48 (01) : 319 - 337
[4] ESTIMATES FOR THE LOGARITHMIC DERIVATIVE OF A MEROMORPHIC FUNCTION, PLUS SIMILAR ESTIMATES
GUNDERSEN, GG
[J]. JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES, 1988, 37 : 88 - 104
[5] Generalized logarithmic derivative estimates of Gol'dberg-Grinshtein type
Heittokangas, J
Korhonen, R
Rättyä, J
[J]. BULLETIN OF THE LONDON MATHEMATICAL SOCIETY, 2004, 36 : 105 - 114
[6] Jank G., 1986, Complex Var.Theory Appl., V6, P51
[7] Laine I., 1993, De Gruyter Studies in Mathematics, V15
[8] Uniqueness theorems on entire functions and their derivatives
Li, P
Yang, CC
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2001, 253 (01) : 50 - 57
[9] Li P., 1999, J. Univ. Sci. Technol. China, V29, P387
[10] Ngoan V., 1965, AKAD NAUK ARMYAN SSR, V41, P272

← 1 2 →