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Author ID: korhonen.risto Recent zbMATH articles by "Korhonen, Risto"
Published as: Korhonen, Risto; Korhonen, R. J.; Korhonen, R.
External Links: MGP · Wikidata · GND · IdRef
Documents Indexed: 55 Publications since 2001, including 2 Books
3 Contributions as Editor
Reviewing Activity: 63 Reviews
Co-Authors: 27 Co-Authors with 49 Joint Publications
394 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

49 Publications have been cited 1,606 times in 566 Documents Cited by Year
Difference analogue of the lemma on the logarithmic derivative with applications to difference equations. Zbl 1085.30026
Halburd, R. G.; Korhonen, R. J.
317
2006
Nevanlinna theory for the difference operator. Zbl 1108.30022
Halburd, R. G.; Korhonen, R. J.
246
2006
Value sharing results for shifts of meromorphic functions, and sufficient conditions for periodicity. Zbl 1180.30039
Heittokangas, J.; Korhonen, R.; Laine, I.; Rieppo, J.; Zhang, J.
119
2009
Holomorphic curves with shift-invariant hyperplane preimages. Zbl 1298.32012
Halburd, Rodney; Korhonen, Risto; Tohge, Kazuya
109
2014
Finite-order meromorphic solutions and the discrete Painlevé equations. Zbl 1119.39014
Halburd, R. G.; Korhonen, R. J.
100
2007
Complex difference equations of Malmquist type. Zbl 1013.39001
Heittokangas, Janne; Korhonen, Risto; Laine, Ilpo; Rieppo, Jarkko; Tohge, Kazuya
79
2001
Nevanlinna theory for the \(q\)-difference operator and meromorphic solutions of \(q\)-difference equations. Zbl 1137.30009
Barnett, D. C.; Halburd, R. G.; Morgan, W.; Korhonen, R. J.
74
2007
Uniqueness of meromorphic functions sharing values with their shifts. Zbl 1217.30029
Heittokangas, J.; Korhonen, R.; Laine, I.; Rieppo, J.
68
2011
On the Nevanlinna characteristic of \(f(qz)\) and its applications. Zbl 1198.30033
Zhang, Jilong; Korhonen, Risto
52
2010
Meromorphic solutions of difference equations, integrability and the discrete Painlevé equations. Zbl 1115.39024
Halburd, R. G.; Korhonen, R. J.
47
2007
Growth estimates for solutions of linear complex differential equations. Zbl 1057.34111
Heittokangas, J.; Korhonen, R.; Rättyä, J.
40
2004
A difference Picard theorem for meromorphic functions of several variables. Zbl 1242.32008
Korhonen, Risto
29
2012
Existence of finite-order meromorphic solutions as a detector of integrability in difference equations. Zbl 1105.39019
Halburd, R. G.; Korhonen, R. J.
28
2006
Fast growing solutions of linear differential equations in the unit disc. Zbl 1120.34071
Heittokangas, Janne; Korhonen, Risto; Rättyä, Jouni
26
2006
A new version of the second main theorem for meromorphic mappings intersecting hyperplanes in several complex variables. Zbl 1345.32012
Cao, Tingbin; Korhonen, Risto
25
2016
Linear differential equations with coefficients in weighted Bergman and Hardy spaces. Zbl 1133.34045
Heittokangas, Janne; Korhonen, Risto; Rättyä, Jouni
24
2008
On meromorphic solutions of certain nonlinear differential equations. Zbl 1047.34101
Heittokangas, J.; Korhonen, R.; Laine, I.
21
2002
A note on partial sharing of values of meromorphic functions with their shifts. Zbl 1331.30021
Charak, K. S.; Korhonen, R. J.; Kumar, Gaurav
19
2016
Linear differential equations with solutions in the Dirichlet type subspace of the Hardy space. Zbl 1161.34060
Heittokangas, J.; Korhonen, R.; Rättyä, J.
19
2007
Growth of meromorphic solutions of delay differential equations. Zbl 1361.30049
Halburd, Rod; Korhonen, Risto
17
2017
Nevanlinna theory in an annulus. Zbl 1102.30025
Korhonen, Risto
16
2004
Linear differential equations in the unit disc with analytic solutions of finite order. Zbl 1122.34067
Korhonen, Risto; Rättyä, Jouni
16
2007
A new Clunie type theorem for difference polynomials. Zbl 1213.39005
Korhonen, Risto
15
2011
Finite order solutions of linear differential equations in the unit disc. Zbl 1165.34054
Korhonen, Risto; Rättyä, Jouni
11
2009
Generalized logarithmic derivative estimates of Gol’dberg–Grinshtein type. Zbl 1067.30060
Heittokangas, J.; Korhonen, R.; Rättyä, J.
10
2004
An extension of Picard’s theorem for meromorphic functions of small hyper-order. Zbl 1173.30017
Korhonen, Risto
9
2009
On the periodicity of transcendental entire functions. Zbl 1441.30047
Liu, Xinling; Korhonen, Risto
8
2020
Difference analogue of Cartan’s second main theorem for slowly moving periodic targets. Zbl 1345.32013
Korhonen, Risto; Li, Nan; Tohge, Kazuya
7
2016
Value distribution and linear operators. Zbl 1343.30020
Halburd, R.; Korhonen, R.
7
2014
Studies of differences from the point of view of Nevanlinna theory. Zbl 1441.39014
Jianhua, Zheng; Korhonen, Risto
6
2020
Growth estimates for solutions of nonhomogeneous linear complex differential equations. Zbl 1184.34084
Heittokangas, Janne; Korhonen, Risto; Rättyä, Jouni
6
2009
Intersections and unions of weighted Bergman spaces. Zbl 1103.30021
Korhonen, Risto; Rättyä, Jouni
5
2005
Existence of zero-order meromorphic solutions in detecting \(q\)-difference Painlevé equations. Zbl 1334.39026
Korhonen, Risto; Wen, Zhi-Tao
4
2016
Tropical value distribution theory and ultra-discrete equations. Zbl 1348.30004
Korhonen, Risto; Laine, Ilpo; Tohge, Kazuya
4
2015
Meromorphic solutions of algebraic difference equations. Zbl 1402.39008
Ishizaki, Katsuya; Korhonen, Risto
4
2018
Order reduction method for linear difference equations. Zbl 1232.39003
Korhonen, R.; Ronkainen, O.
4
2011
Uniqueness of meromorphic functions sharing values with their \(n\)th order exact differences. Zbl 1438.30142
Gao, Z.; Korhonen, R.; Zhang, J.; Zhang, Y.
3
2019
Second main theorem in the tropical projective space. Zbl 1379.14033
Korhonen, Risto; Tohge, Kazuya
2
2016
Existence of meromorphic solutions of first-order difference equations. Zbl 1441.39015
Korhonen, Risto; Zhang, Yueyang
2
2020
Value distribution of \(q\)-differences of meromorphic functions in several complex variables. Zbl 1474.32039
Cao, T.-B.; Korhonen, R. J.
2
2020
On the growth of the logarithmic derivative. Zbl 1013.30018
Benbourenane, Djamel; Korhonen, Risto
2
2001
Nondecreasing functions, exceptional sets and generalized Borel lemmas. Zbl 1196.26016
Halburd, R. G.; Korhonen, R. J.
2
2010
A Stothers-Mason theorem with a difference radical. Zbl 1473.30019
Ishizaki, Katsuya; Korhonen, Risto; Li, Nan; Tohge, Kazuya
2
2021
Variations on a conjecture of C. C. Yang concerning periodicity. Zbl 1486.30097
Liu, Xinling; Korhonen, Risto; Liu, Kai
2
2022
A lemma on the difference quotients. Zbl 1441.30046
Korhonen, Risto; Tohge, Kazuya; Zhang, Yueyang; Zheng, Jianhua
1
2020
Sharp forms of Nevanlinna error terms in differential equations. Zbl 1154.30305
Korhonen, Risto
1
2004
Meromorphic solutions of differential and difference equations with deficiencies. Zbl 1021.34075
Korhonen, Risto
1
2002
Three approaches to detecting discrete integrability. Zbl 1423.30024
Halburd, Rod; Korhonen, Risto
1
2019
Lower order and Baker wandering domains of solutions to differential equations with coefficients of exponential growth. Zbl 1429.30029
Korhonen, Risto; Wang, Jun; Ye, Zhuan
1
2019
Variations on a conjecture of C. C. Yang concerning periodicity. Zbl 1486.30097
Liu, Xinling; Korhonen, Risto; Liu, Kai
2
2022
A Stothers-Mason theorem with a difference radical. Zbl 1473.30019
Ishizaki, Katsuya; Korhonen, Risto; Li, Nan; Tohge, Kazuya
2
2021
On the periodicity of transcendental entire functions. Zbl 1441.30047
Liu, Xinling; Korhonen, Risto
8
2020
Studies of differences from the point of view of Nevanlinna theory. Zbl 1441.39014
Jianhua, Zheng; Korhonen, Risto
6
2020
Existence of meromorphic solutions of first-order difference equations. Zbl 1441.39015
Korhonen, Risto; Zhang, Yueyang
2
2020
Value distribution of \(q\)-differences of meromorphic functions in several complex variables. Zbl 1474.32039
Cao, T.-B.; Korhonen, R. J.
2
2020
A lemma on the difference quotients. Zbl 1441.30046
Korhonen, Risto; Tohge, Kazuya; Zhang, Yueyang; Zheng, Jianhua
1
2020
Uniqueness of meromorphic functions sharing values with their \(n\)th order exact differences. Zbl 1438.30142
Gao, Z.; Korhonen, R.; Zhang, J.; Zhang, Y.
3
2019
Three approaches to detecting discrete integrability. Zbl 1423.30024
Halburd, Rod; Korhonen, Risto
1
2019
Lower order and Baker wandering domains of solutions to differential equations with coefficients of exponential growth. Zbl 1429.30029
Korhonen, Risto; Wang, Jun; Ye, Zhuan
1
2019
Meromorphic solutions of algebraic difference equations. Zbl 1402.39008
Ishizaki, Katsuya; Korhonen, Risto
4
2018
Growth of meromorphic solutions of delay differential equations. Zbl 1361.30049
Halburd, Rod; Korhonen, Risto
17
2017
A new version of the second main theorem for meromorphic mappings intersecting hyperplanes in several complex variables. Zbl 1345.32012
Cao, Tingbin; Korhonen, Risto
25
2016
A note on partial sharing of values of meromorphic functions with their shifts. Zbl 1331.30021
Charak, K. S.; Korhonen, R. J.; Kumar, Gaurav
19
2016
Difference analogue of Cartan’s second main theorem for slowly moving periodic targets. Zbl 1345.32013
Korhonen, Risto; Li, Nan; Tohge, Kazuya
7
2016
Existence of zero-order meromorphic solutions in detecting \(q\)-difference Painlevé equations. Zbl 1334.39026
Korhonen, Risto; Wen, Zhi-Tao
4
2016
Second main theorem in the tropical projective space. Zbl 1379.14033
Korhonen, Risto; Tohge, Kazuya
2
2016
Tropical value distribution theory and ultra-discrete equations. Zbl 1348.30004
Korhonen, Risto; Laine, Ilpo; Tohge, Kazuya
4
2015
Holomorphic curves with shift-invariant hyperplane preimages. Zbl 1298.32012
Halburd, Rodney; Korhonen, Risto; Tohge, Kazuya
109
2014
Value distribution and linear operators. Zbl 1343.30020
Halburd, R.; Korhonen, R.
7
2014
A difference Picard theorem for meromorphic functions of several variables. Zbl 1242.32008
Korhonen, Risto
29
2012
Uniqueness of meromorphic functions sharing values with their shifts. Zbl 1217.30029
Heittokangas, J.; Korhonen, R.; Laine, I.; Rieppo, J.
68
2011
A new Clunie type theorem for difference polynomials. Zbl 1213.39005
Korhonen, Risto
15
2011
Order reduction method for linear difference equations. Zbl 1232.39003
Korhonen, R.; Ronkainen, O.
4
2011
On the Nevanlinna characteristic of \(f(qz)\) and its applications. Zbl 1198.30033
Zhang, Jilong; Korhonen, Risto
52
2010
Nondecreasing functions, exceptional sets and generalized Borel lemmas. Zbl 1196.26016
Halburd, R. G.; Korhonen, R. J.
2
2010
Value sharing results for shifts of meromorphic functions, and sufficient conditions for periodicity. Zbl 1180.30039
Heittokangas, J.; Korhonen, R.; Laine, I.; Rieppo, J.; Zhang, J.
119
2009
Finite order solutions of linear differential equations in the unit disc. Zbl 1165.34054
Korhonen, Risto; Rättyä, Jouni
11
2009
An extension of Picard’s theorem for meromorphic functions of small hyper-order. Zbl 1173.30017
Korhonen, Risto
9
2009
Growth estimates for solutions of nonhomogeneous linear complex differential equations. Zbl 1184.34084
Heittokangas, Janne; Korhonen, Risto; Rättyä, Jouni
6
2009
Linear differential equations with coefficients in weighted Bergman and Hardy spaces. Zbl 1133.34045
Heittokangas, Janne; Korhonen, Risto; Rättyä, Jouni
24
2008
Finite-order meromorphic solutions and the discrete Painlevé equations. Zbl 1119.39014
Halburd, R. G.; Korhonen, R. J.
100
2007
Nevanlinna theory for the \(q\)-difference operator and meromorphic solutions of \(q\)-difference equations. Zbl 1137.30009
Barnett, D. C.; Halburd, R. G.; Morgan, W.; Korhonen, R. J.
74
2007
Meromorphic solutions of difference equations, integrability and the discrete Painlevé equations. Zbl 1115.39024
Halburd, R. G.; Korhonen, R. J.
47
2007
Linear differential equations with solutions in the Dirichlet type subspace of the Hardy space. Zbl 1161.34060
Heittokangas, J.; Korhonen, R.; Rättyä, J.
19
2007
Linear differential equations in the unit disc with analytic solutions of finite order. Zbl 1122.34067
Korhonen, Risto; Rättyä, Jouni
16
2007
Difference analogue of the lemma on the logarithmic derivative with applications to difference equations. Zbl 1085.30026
Halburd, R. G.; Korhonen, R. J.
317
2006
Nevanlinna theory for the difference operator. Zbl 1108.30022
Halburd, R. G.; Korhonen, R. J.
246
2006
Existence of finite-order meromorphic solutions as a detector of integrability in difference equations. Zbl 1105.39019
Halburd, R. G.; Korhonen, R. J.
28
2006
Fast growing solutions of linear differential equations in the unit disc. Zbl 1120.34071
Heittokangas, Janne; Korhonen, Risto; Rättyä, Jouni
26
2006
Intersections and unions of weighted Bergman spaces. Zbl 1103.30021
Korhonen, Risto; Rättyä, Jouni
5
2005
Growth estimates for solutions of linear complex differential equations. Zbl 1057.34111
Heittokangas, J.; Korhonen, R.; Rättyä, J.
40
2004
Nevanlinna theory in an annulus. Zbl 1102.30025
Korhonen, Risto
16
2004
Generalized logarithmic derivative estimates of Gol’dberg–Grinshtein type. Zbl 1067.30060
Heittokangas, J.; Korhonen, R.; Rättyä, J.
10
2004
Sharp forms of Nevanlinna error terms in differential equations. Zbl 1154.30305
Korhonen, Risto
1
2004
On meromorphic solutions of certain nonlinear differential equations. Zbl 1047.34101
Heittokangas, J.; Korhonen, R.; Laine, I.
21
2002
Meromorphic solutions of differential and difference equations with deficiencies. Zbl 1021.34075
Korhonen, Risto
1
2002
Complex difference equations of Malmquist type. Zbl 1013.39001
Heittokangas, Janne; Korhonen, Risto; Laine, Ilpo; Rieppo, Jarkko; Tohge, Kazuya
79
2001
On the growth of the logarithmic derivative. Zbl 1013.30018
Benbourenane, Djamel; Korhonen, Risto
2
2001
all top 5

Cited by 364 Authors

50 Xu, Hongyan
42 Chen, Zongxuan
32 Korhonen, Risto
22 Cao, Tingbin
21 Yang, Lianzhong
20 Heittokangas, Janne M.
20 Yi, Hongxun
19 Liu, Kai
17 Banerjee, Abhijit
16 Li, Sheng
16 Li, Xiaomin
15 Zhang, Jilong
15 Zheng, Xiumin
14 Chen, Baoqin
14 Qi, Xiaoguang
13 Huang, Zhibo
13 Laine, Ilpo
13 Rättyä, Jouni
12 Wang, Hua
11 Gao, Zongsheng
11 Lan, Shuangting
11 Liu, Xinling
11 Tohge, Kazuya
10 Hu, Peichu
10 Liu, Yong
10 Mao, Zhiqiang
10 Tu, Jin
10 Wen, Zhitao
10 Yang, Chung-Chun
9 Dyavanal, Renukadevi Sangappa
9 Fang, Mingliang
9 Latreuch, Zinelâabidine
9 Liu, Huifang
9 Zhang, Ranran
8 Gröhn, Janne
8 Ishizaki, Katsuya
8 Lu, Weiran
8 Qi, Jianming
8 Shon, Kwangho
7 Belaïdi, Benharrat
7 Chen, Junfan
7 Long, Jianren
7 Lu, Feng
7 Majumder, Sujoy
7 Sezer, Mehmet
7 Wu, Zhaojun
6 Ahamed, Molla Basir
6 Biswas, Tania
6 Chen, Chuangxin
6 Chen, Shengjiang
6 Haldar, Goutam
6 Hamouda, Saada
6 Liao, Liangwen
6 Liu, Sanyang
6 Xu, Junfeng
5 Chen, Minfeng
5 Chiang, Yik-Man
5 Chyzhykov, Igor Elbertovych
5 Lin, Weichuan
5 Liu, Dan
5 Liu, Manli
5 Wang, Qiong
5 Wang, Qiongyan
4 Deng, Bingmao
4 Feng, Shaoji
4 Gülsu, Mustafa
4 Halburd, Rodney G.
4 Huusko, Juha-Matti
4 Li, Hong
4 Rieppo, Jarkko
4 Roy, Arpita
4 Waghamore, Harina Pandit
4 Wang, Gang
4 Xu, Aizhu
4 Xu, Ling
4 Yu, Hui
4 Zhang, Yueyang
3 Barki, Mahesh
3 Bellaama, Rachid
3 Bhattacharyya, Saikat
3 Bhoosnurmath, Subhas S.
3 Chen, Wei
3 Chen, Yu
3 Chuaqui, Martin
3 Cui, Ning
3 Ding, Jie
3 Dong, Xianjing
3 Gao, Lingyun
3 Han, Qi
3 Hu, Guangming
3 Li, Ping
3 Lin, Shuqing
3 Liu, Bingxiang
3 Liu, Nana
3 Mathai, Madhura M.
3 Meng, Chao
3 Peng, Changwen
3 Pham Duc Thoan
3 Saha, Biswajit
3 Sun, Yu
...and 264 more Authors
all top 5

Cited in 125 Serials

68 Advances in Difference Equations
47 Journal of Mathematical Analysis and Applications
29 Computational Methods and Function Theory
24 Abstract and Applied Analysis
18 Bulletin of the Korean Mathematical Society
15 Analysis Mathematica
12 Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences
12 Complex Variables and Elliptic Equations
12 AIMS Mathematics
11 Journal of Inequalities and Applications
11 Open Mathematics
9 Bulletin of the Australian Mathematical Society
9 Journal of Function Spaces
8 Proceedings of the American Mathematical Society
8 Results in Mathematics
8 Journal of Difference Equations and Applications
8 Annales Academiae Scientiarum Fennicae. Mathematica
8 Acta Mathematica Scientia. Series B. (English Edition)
8 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
7 Rocky Mountain Journal of Mathematics
7 Transactions of the American Mathematical Society
7 The Journal of Analysis
7 Discrete Dynamics in Nature and Society
7 Mediterranean Journal of Mathematics
6 Proceedings of the Japan Academy. Series A
6 Acta Mathematica Sinica. English Series
5 Ukrainian Mathematical Journal
5 Applied Mathematics and Computation
5 Archiv der Mathematik
5 Bulletin of the Iranian Mathematical Society
5 Journal of Mathematical Inequalities
5 Electronic Journal of Mathematical Analysis and Applications EJMAA
4 The Journal of the Indian Mathematical Society. New Series
4 Constructive Approximation
4 Aequationes Mathematicae
4 Electronic Journal of Differential Equations (EJDE)
4 Turkish Journal of Mathematics
4 Tbilisi Mathematical Journal
4 Science China. Mathematics
4 Analysis and Mathematical Physics
3 Advances in Mathematics
3 Mathematische Nachrichten
3 Mathematische Zeitschrift
3 Rendiconti del Circolo Matemàtico di Palermo. Serie II
3 Chinese Annals of Mathematics. Series B
3 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
3 Applied Mathematics. Series B (English Edition)
3 Applied Mathematics E-Notes
3 Journal of Applied Mathematics & Informatics
3 Palestine Journal of Mathematics
3 Journal of Mathematics
3 Journal of Complex Analysis
2 Journal of Mathematical Physics
2 Mathematical Methods in the Applied Sciences
2 Czechoslovak Mathematical Journal
2 Fasciculi Mathematici
2 International Journal of Mathematics and Mathematical Sciences
2 Mathematica Slovaca
2 Numerical Methods for Partial Differential Equations
2 Science in China. Series A
2 Journal of Mathematical Sciences (New York)
2 Georgian Mathematical Journal
2 Filomat
2 Bulletin des Sciences Mathématiques
2 Buletinul Academiei de Științe a Republicii Moldova. Matematica
2 Taiwanese Journal of Mathematics
2 Matematychni Studiï
2 Analysis (München)
2 Hacettepe Journal of Mathematics and Statistics
2 Complex Analysis and Operator Theory
2 Acta Mathematica Sinica. Chinese Series
2 Asian-European Journal of Mathematics
2 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
2 Arabian Journal of Mathematics
2 Journal of Mathematical Research with Applications
1 Computers & Mathematics with Applications
1 Houston Journal of Mathematics
1 Indian Journal of Pure & Applied Mathematics
1 Journal d’Analyse Mathématique
1 Lithuanian Mathematical Journal
1 Mathematical Proceedings of the Cambridge Philosophical Society
1 Periodica Mathematica Hungarica
1 Acta Mathematica Vietnamica
1 Annali di Matematica Pura ed Applicata. Serie Quarta
1 Annales Polonici Mathematici
1 Canadian Journal of Mathematics
1 Demonstratio Mathematica
1 Glasgow Mathematical Journal
1 Journal of Differential Equations
1 Kyungpook Mathematical Journal
1 Memoirs of the American Mathematical Society
1 Nagoya Mathematical Journal
1 Proceedings of the Edinburgh Mathematical Society. Series II
1 Proceedings of the London Mathematical Society. Third Series
1 Tokyo Journal of Mathematics
1 Acta Mathematicae Applicatae Sinica. English Series
1 Discrete & Computational Geometry
1 Journal de Mathématiques Pures et Appliquées. Neuvième Série
1 Bulletin of the Belgian Mathematical Society - Simon Stevin
1 Opuscula Mathematica
...and 25 more Serials

Citations by Year

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