Brück Conjecture with Hyper-Order σ2(f)<1 and Linear Differential Polynomials

Minfeng Chen; Zongsheng Gao; Jilong Zhang

doi:10.1007/s00025-018-0910-x

Brück Conjecture with Hyper-Order σ₂(f)<1 and Linear Differential Polynomials

Minfeng Chen^*
, Zongsheng Gao
, Jilong Zhang

^*Corresponding author for this work

School of Mathematical Sciences

Research output: Contribution to journal › Article › peer-review

Abstract

In this paper, we prove a uniqueness theorem for an entire function of hyper-order σ₂(f) < 1 that share z CM with its linear differential polynomial. Our result on the Brück conjecture, which improves and generalizes some results mentioned before.

Original language	English
Article number	149
Journal	Results in Mathematics
Volume	73
Issue number	4
DOIs	https://doi.org/10.1007/s00025-018-0910-x
State	Published - 1 Dec 2018

Keywords

Brück conjecture
Entire function
fixed points
uniqueness

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10.1007/s00025-018-0910-x

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title = "Br{\"u}ck Conjecture with Hyper-Order σ2(f)<1 and Linear Differential Polynomials",

abstract = "In this paper, we prove a uniqueness theorem for an entire function of hyper-order σ2(f) < 1 that share z CM with its linear differential polynomial. Our result on the Br{\"u}ck conjecture, which improves and generalizes some results mentioned before.",

keywords = "Br{\"u}ck conjecture, Entire function, fixed points, uniqueness",

author = "Minfeng Chen and Zongsheng Gao and Jilong Zhang",

note = "Publisher Copyright: {\textcopyright} 2018, Springer Nature Switzerland AG.",

year = "2018",

month = dec,

day = "1",

doi = "10.1007/s00025-018-0910-x",

language = "英语",

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AU - Chen, Minfeng

AU - Gao, Zongsheng

AU - Zhang, Jilong

PY - 2018/12/1

Y1 - 2018/12/1

N2 - In this paper, we prove a uniqueness theorem for an entire function of hyper-order σ2(f) < 1 that share z CM with its linear differential polynomial. Our result on the Brück conjecture, which improves and generalizes some results mentioned before.

AB - In this paper, we prove a uniqueness theorem for an entire function of hyper-order σ2(f) < 1 that share z CM with its linear differential polynomial. Our result on the Brück conjecture, which improves and generalizes some results mentioned before.

KW - Brück conjecture

KW - Entire function

KW - fixed points

KW - uniqueness

UR - https://www.scopus.com/pages/publications/85055098873

U2 - 10.1007/s00025-018-0910-x

DO - 10.1007/s00025-018-0910-x

M3 - 文章

AN - SCOPUS:85055098873

SN - 1422-6383

VL - 73

JO - Results in Mathematics

JF - Results in Mathematics

IS - 4

M1 - 149

ER -

Brück Conjecture with Hyper-Order σ₂(f)<1 and Linear Differential Polynomials

Abstract

Keywords

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