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Meromorphic Solutions for the Fermat-Type Differential-Difference Equations
被引:0
作者
:
Zhu, X.
论文数:
0
引用数:
0
h-index:
0
机构:
Univ Jinan, Jinan, Shandong, Peoples R China
Univ Jinan, Jinan, Shandong, Peoples R China
Zhu, X.
[
1
]
Qi, X.
论文数:
0
引用数:
0
h-index:
0
机构:
Univ Jinan, Jinan, Shandong, Peoples R China
Univ Jinan, Jinan, Shandong, Peoples R China
Qi, X.
[
1
]
机构
:
[1]
Univ Jinan, Jinan, Shandong, Peoples R China
来源
:
JOURNAL OF CONTEMPORARY MATHEMATICAL ANALYSIS-ARMENIAN ACADEMY OF SCIENCES
|
2024年
/ 59卷
/ 03期
基金
:
中国国家自然科学基金;
关键词
:
meromorphic functions;
Fermat-type equation;
Cantan's theorem;
differential-difference equation;
UNIQUENESS;
D O I
:
10.3103/S1068362324700122
中图分类号
:
O1 [数学];
学科分类号
:
0701 ;
070101 ;
摘要
:
In this paper, we study the existence of meromorphic solutions of hyperorder strictly less than 1 to the Fermat-type differential-difference equations, which improves earlier results of such studies.
引用
收藏
页码:209 / 219
页数:11
相关论文
共 24 条
[1]
ON A CLASS OF MEROMORPHIC FUNCTIONS
BAKER, IN
论文数:
0
引用数:
0
h-index:
0
BAKER, IN
[J].
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY,
1966,
17
(04)
: 819
-
&
[2]
Cartan H., 1933, Mathematica (Cluf), V7, P5
[3]
On Fermat Diophantine functional equations, little Picard theorem and beyond
Chen, Wei
论文数:
0
引用数:
0
h-index:
0
机构:
Chongqing Univ Posts & Telecommun, Sch Sci, Chongqing 400065, Peoples R China
Chongqing Univ Posts & Telecommun, Sch Sci, Chongqing 400065, Peoples R China
Chen, Wei
Han, Qi
论文数:
0
引用数:
0
h-index:
0
机构:
Texas A&M Univ San Antonio, Dept Sci & Math, San Antonio, TX 78224 USA
Chongqing Univ Posts & Telecommun, Sch Sci, Chongqing 400065, Peoples R China
Han, Qi
Liu, Jingbo
论文数:
0
引用数:
0
h-index:
0
机构:
Texas A&M Univ San Antonio, Dept Sci & Math, San Antonio, TX 78224 USA
Chongqing Univ Posts & Telecommun, Sch Sci, Chongqing 400065, Peoples R China
Liu, Jingbo
[J].
AEQUATIONES MATHEMATICAE,
2019,
93
(02)
: 425
-
432
[4]
ON EQUATION FN+GN=1
GROSS, F
论文数:
0
引用数:
0
h-index:
0
GROSS, F
[J].
BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY,
1966,
72
(1P1)
: 86
-
&
[5]
ON FUNCTIONAL EQUATION FN+GN=HN
GROSS, F
论文数:
0
引用数:
0
h-index:
0
GROSS, F
[J].
AMERICAN MATHEMATICAL MONTHLY,
1966,
73
(10)
: 1093
-
&
[6]
HOLOMORPHIC CURVES WITH SHIFT-INVARIANT HYPERPLANE PREIMAGES
Halburd, Rodney
论文数:
0
引用数:
0
h-index:
0
机构:
UCL, Dept Math, London WC1E 6BT, England
UCL, Dept Math, London WC1E 6BT, England
Halburd, Rodney
Korhonen, Risto
论文数:
0
引用数:
0
h-index:
0
机构:
Univ Eastern Finland, Dept Math & Phys, FI-80101 Joensuu, Finland
UCL, Dept Math, London WC1E 6BT, England
Korhonen, Risto
Tohge, Kazuya
论文数:
0
引用数:
0
h-index:
0
机构:
Kanazawa Univ, Sch Elect & Comp Engn, Coll Sci & Engn, Kanazawa, Ishikawa 9201192, Japan
UCL, Dept Math, London WC1E 6BT, England
Tohge, Kazuya
[J].
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY,
2014,
366
(08)
: 4267
-
4298
[7]
On the Equation fn(z) + gn(z) = eαz+β
Han, Q.
论文数:
0
引用数:
0
h-index:
0
机构:
Texas A&M Univ, San Antonio, TX 78224 USA
Texas A&M Univ, San Antonio, TX 78224 USA
Han, Q.
Lu, F.
论文数:
0
引用数:
0
h-index:
0
机构:
China Univ Petr, Qingdao, Shandong, Peoples R China
Texas A&M Univ, San Antonio, TX 78224 USA
Lu, F.
[J].
JOURNAL OF CONTEMPORARY MATHEMATICAL ANALYSIS-ARMENIAN ACADEMY OF SCIENCES,
2019,
54
(02):
: 98
-
102
[8]
On Entire Solutions of Some Differential-Difference Equations
Liu, Kai
论文数:
0
引用数:
0
h-index:
0
机构:
Nanchang Univ, Dept Math, Nanchang 330031, Jiangxi, Peoples R China
Nanchang Univ, Dept Math, Nanchang 330031, Jiangxi, Peoples R China
Liu, Kai
Yang, Lianzhong
论文数:
0
引用数:
0
h-index:
0
机构:
Shandong Univ, Sch Math, Jinan 250100, Shandong, Peoples R China
Nanchang Univ, Dept Math, Nanchang 330031, Jiangxi, Peoples R China
Yang, Lianzhong
[J].
COMPUTATIONAL METHODS AND FUNCTION THEORY,
2013,
13
(03)
: 433
-
447
[9]
Entire solutions of Fermat type differential-difference equations
Liu, Kai
论文数:
0
引用数:
0
h-index:
0
机构:
Nanchang Univ, Dept Math, Nanchang 330031, Jiangxi, Peoples R China
Nanchang Univ, Dept Math, Nanchang 330031, Jiangxi, Peoples R China
Liu, Kai
Cao, Tingbin
论文数:
0
引用数:
0
h-index:
0
机构:
Nanchang Univ, Dept Math, Nanchang 330031, Jiangxi, Peoples R China
Nanchang Univ, Dept Math, Nanchang 330031, Jiangxi, Peoples R China
Cao, Tingbin
Cao, Hongzhe
论文数:
0
引用数:
0
h-index:
0
机构:
Nanchang Univ, Dept Math, Nanchang 330031, Jiangxi, Peoples R China
Nanchang Univ, Dept Math, Nanchang 330031, Jiangxi, Peoples R China
Cao, Hongzhe
[J].
ARCHIV DER MATHEMATIK,
2012,
99
(02)
: 147
-
155
[10]
EXISTENCE OF ENTIRE SOLUTIONS OF NONLINEAR DIFFERENCE EQUATIONS
Liu, Kai
论文数:
0
引用数:
0
h-index:
0
机构:
Nanchang Univ, Dept Math, Nanchang 330031, Jiangxi, Peoples R China
Nanchang Univ, Dept Math, Nanchang 330031, Jiangxi, Peoples R China
Liu, Kai
Yang, Lianzhong
论文数:
0
引用数:
0
h-index:
0
机构:
Shandong Univ, Sch Math, Jinan 250100, Shandong, Peoples R China
Nanchang Univ, Dept Math, Nanchang 330031, Jiangxi, Peoples R China
Yang, Lianzhong
Liu, Xinling
论文数:
0
引用数:
0
h-index:
0
机构:
Nanchang Univ, Dept Math, Nanchang 330031, Jiangxi, Peoples R China
Nanchang Univ, Dept Math, Nanchang 330031, Jiangxi, Peoples R China
Liu, Xinling
[J].
CZECHOSLOVAK MATHEMATICAL JOURNAL,
2011,
61
(02)
: 565
-
576
←
1
2
3
→
共 24 条
[1]
ON A CLASS OF MEROMORPHIC FUNCTIONS
BAKER, IN
论文数:
0
引用数:
0
h-index:
0
BAKER, IN
[J].
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY,
1966,
17
(04)
: 819
-
&
[2]
Cartan H., 1933, Mathematica (Cluf), V7, P5
[3]
On Fermat Diophantine functional equations, little Picard theorem and beyond
Chen, Wei
论文数:
0
引用数:
0
h-index:
0
机构:
Chongqing Univ Posts & Telecommun, Sch Sci, Chongqing 400065, Peoples R China
Chongqing Univ Posts & Telecommun, Sch Sci, Chongqing 400065, Peoples R China
Chen, Wei
Han, Qi
论文数:
0
引用数:
0
h-index:
0
机构:
Texas A&M Univ San Antonio, Dept Sci & Math, San Antonio, TX 78224 USA
Chongqing Univ Posts & Telecommun, Sch Sci, Chongqing 400065, Peoples R China
Han, Qi
Liu, Jingbo
论文数:
0
引用数:
0
h-index:
0
机构:
Texas A&M Univ San Antonio, Dept Sci & Math, San Antonio, TX 78224 USA
Chongqing Univ Posts & Telecommun, Sch Sci, Chongqing 400065, Peoples R China
Liu, Jingbo
[J].
AEQUATIONES MATHEMATICAE,
2019,
93
(02)
: 425
-
432
[4]
ON EQUATION FN+GN=1
GROSS, F
论文数:
0
引用数:
0
h-index:
0
GROSS, F
[J].
BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY,
1966,
72
(1P1)
: 86
-
&
[5]
ON FUNCTIONAL EQUATION FN+GN=HN
GROSS, F
论文数:
0
引用数:
0
h-index:
0
GROSS, F
[J].
AMERICAN MATHEMATICAL MONTHLY,
1966,
73
(10)
: 1093
-
&
[6]
HOLOMORPHIC CURVES WITH SHIFT-INVARIANT HYPERPLANE PREIMAGES
Halburd, Rodney
论文数:
0
引用数:
0
h-index:
0
机构:
UCL, Dept Math, London WC1E 6BT, England
UCL, Dept Math, London WC1E 6BT, England
Halburd, Rodney
Korhonen, Risto
论文数:
0
引用数:
0
h-index:
0
机构:
Univ Eastern Finland, Dept Math & Phys, FI-80101 Joensuu, Finland
UCL, Dept Math, London WC1E 6BT, England
Korhonen, Risto
Tohge, Kazuya
论文数:
0
引用数:
0
h-index:
0
机构:
Kanazawa Univ, Sch Elect & Comp Engn, Coll Sci & Engn, Kanazawa, Ishikawa 9201192, Japan
UCL, Dept Math, London WC1E 6BT, England
Tohge, Kazuya
[J].
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY,
2014,
366
(08)
: 4267
-
4298
[7]
On the Equation fn(z) + gn(z) = eαz+β
Han, Q.
论文数:
0
引用数:
0
h-index:
0
机构:
Texas A&M Univ, San Antonio, TX 78224 USA
Texas A&M Univ, San Antonio, TX 78224 USA
Han, Q.
Lu, F.
论文数:
0
引用数:
0
h-index:
0
机构:
China Univ Petr, Qingdao, Shandong, Peoples R China
Texas A&M Univ, San Antonio, TX 78224 USA
Lu, F.
[J].
JOURNAL OF CONTEMPORARY MATHEMATICAL ANALYSIS-ARMENIAN ACADEMY OF SCIENCES,
2019,
54
(02):
: 98
-
102
[8]
On Entire Solutions of Some Differential-Difference Equations
Liu, Kai
论文数:
0
引用数:
0
h-index:
0
机构:
Nanchang Univ, Dept Math, Nanchang 330031, Jiangxi, Peoples R China
Nanchang Univ, Dept Math, Nanchang 330031, Jiangxi, Peoples R China
Liu, Kai
Yang, Lianzhong
论文数:
0
引用数:
0
h-index:
0
机构:
Shandong Univ, Sch Math, Jinan 250100, Shandong, Peoples R China
Nanchang Univ, Dept Math, Nanchang 330031, Jiangxi, Peoples R China
Yang, Lianzhong
[J].
COMPUTATIONAL METHODS AND FUNCTION THEORY,
2013,
13
(03)
: 433
-
447
[9]
Entire solutions of Fermat type differential-difference equations
Liu, Kai
论文数:
0
引用数:
0
h-index:
0
机构:
Nanchang Univ, Dept Math, Nanchang 330031, Jiangxi, Peoples R China
Nanchang Univ, Dept Math, Nanchang 330031, Jiangxi, Peoples R China
Liu, Kai
Cao, Tingbin
论文数:
0
引用数:
0
h-index:
0
机构:
Nanchang Univ, Dept Math, Nanchang 330031, Jiangxi, Peoples R China
Nanchang Univ, Dept Math, Nanchang 330031, Jiangxi, Peoples R China
Cao, Tingbin
Cao, Hongzhe
论文数:
0
引用数:
0
h-index:
0
机构:
Nanchang Univ, Dept Math, Nanchang 330031, Jiangxi, Peoples R China
Nanchang Univ, Dept Math, Nanchang 330031, Jiangxi, Peoples R China
Cao, Hongzhe
[J].
ARCHIV DER MATHEMATIK,
2012,
99
(02)
: 147
-
155
[10]
EXISTENCE OF ENTIRE SOLUTIONS OF NONLINEAR DIFFERENCE EQUATIONS
Liu, Kai
论文数:
0
引用数:
0
h-index:
0
机构:
Nanchang Univ, Dept Math, Nanchang 330031, Jiangxi, Peoples R China
Nanchang Univ, Dept Math, Nanchang 330031, Jiangxi, Peoples R China
Liu, Kai
Yang, Lianzhong
论文数:
0
引用数:
0
h-index:
0
机构:
Shandong Univ, Sch Math, Jinan 250100, Shandong, Peoples R China
Nanchang Univ, Dept Math, Nanchang 330031, Jiangxi, Peoples R China
Yang, Lianzhong
Liu, Xinling
论文数:
0
引用数:
0
h-index:
0
机构:
Nanchang Univ, Dept Math, Nanchang 330031, Jiangxi, Peoples R China
Nanchang Univ, Dept Math, Nanchang 330031, Jiangxi, Peoples R China
Liu, Xinling
[J].
CZECHOSLOVAK MATHEMATICAL JOURNAL,
2011,
61
(02)
: 565
-
576
←
1
2
3
→