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Author ID: korhonen.risto Recent zbMATH articles by "Korhonen, Risto"
Published as: Korhonen, Risto; Korhonen, R. J.; Korhonen, R.
Homepage: https://uefconnect.uef.fi/en/person/risto.korhonen/
External Links: MGP · Wikidata · GND · IdRef

Publications by Year

Citations contained in zbMATH Open

49 Publications have been cited 1,836 times in 654 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.
349
2006
Nevanlinna theory for the difference operator. Zbl 1108.30022
Halburd, R. G.; Korhonen, R. J.
270
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.
134
2009
Holomorphic curves with shift-invariant hyperplane preimages. Zbl 1298.32012
Halburd, Rodney; Korhonen, Risto; Tohge, Kazuya
133
2014
Finite-order meromorphic solutions and the discrete Painlevé equations. Zbl 1119.39014
Halburd, R. G.; Korhonen, R. J.
112
2007
Complex difference equations of Malmquist type. Zbl 1013.39001
Heittokangas, Janne; Korhonen, Risto; Laine, Ilpo; Rieppo, Jarkko; Tohge, Kazuya
82
2001
Uniqueness of meromorphic functions sharing values with their shifts. Zbl 1217.30029
Heittokangas, J.; Korhonen, R.; Laine, I.; Rieppo, J.
78
2011
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.
78
2007
On the Nevanlinna characteristic of \(f(qz)\) and its applications. Zbl 1198.30033
Zhang, Jilong; Korhonen, Risto
57
2010
Meromorphic solutions of difference equations, integrability and the discrete Painlevé equations. Zbl 1115.39024
Halburd, R. G.; Korhonen, R. J.
55
2007
Growth estimates for solutions of linear complex differential equations. Zbl 1057.34111
Heittokangas, J.; Korhonen, R.; Rättyä, J.
46
2004
A difference Picard theorem for meromorphic functions of several variables. Zbl 1242.32008
Korhonen, Risto
36
2012
A new version of the second main theorem for meromorphic mappings intersecting hyperplanes in several complex variables. Zbl 1345.32012
Cao, Tingbin; Korhonen, Risto
33
2016
Fast growing solutions of linear differential equations in the unit disc. Zbl 1120.34071
Heittokangas, Janne; Korhonen, Risto; Rättyä, Jouni
28
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
Linear differential equations with coefficients in weighted Bergman and Hardy spaces. Zbl 1133.34045
Heittokangas, Janne; Korhonen, Risto; Rättyä, Jouni
26
2008
Growth of meromorphic solutions of delay differential equations. Zbl 1361.30049
Halburd, Rod; Korhonen, Risto
26
2017
A note on partial sharing of values of meromorphic functions with their shifts. Zbl 1331.30021
Charak, K. S.; Korhonen, R. J.; Kumar, Gaurav
25
2016
Linear differential equations with solutions in the Dirichlet type subspace of the Hardy space. Zbl 1161.34060
Heittokangas, J.; Korhonen, R.; Rättyä, J.
23
2007
On meromorphic solutions of certain nonlinear differential equations. Zbl 1047.34101
Heittokangas, J.; Korhonen, R.; Laine, I.
23
2002
Nevanlinna theory in an annulus. Zbl 1102.30025
Korhonen, Risto
20
2004
Linear differential equations in the unit disc with analytic solutions of finite order. Zbl 1122.34067
Korhonen, Risto; Rättyä, Jouni
17
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
12
2009
Generalized logarithmic derivative estimates of Gol’dberg–Grinshtein type. Zbl 1067.30060
Heittokangas, J.; Korhonen, R.; Rättyä, J.
11
2004
An extension of Picard’s theorem for meromorphic functions of small hyper-order. Zbl 1173.30017
Korhonen, Risto
11
2009
On the periodicity of transcendental entire functions. Zbl 1441.30047
Liu, Xinling; Korhonen, Risto
11
2020
Studies of differences from the point of view of Nevanlinna theory. Zbl 1441.39014
Jianhua, Zheng; Korhonen, Risto
10
2020
Growth estimates for solutions of nonhomogeneous linear complex differential equations. Zbl 1184.34084
Heittokangas, Janne; Korhonen, Risto; Rättyä, Jouni
9
2009
Value distribution and linear operators. Zbl 1343.30020
Halburd, R.; Korhonen, R.
9
2014
Difference analogue of Cartan’s second main theorem for slowly moving periodic targets. Zbl 1345.32013
Korhonen, Risto; Li, Nan; Tohge, Kazuya
8
2016
Uniqueness of meromorphic functions sharing values with their \(n\)th order exact differences. Zbl 1438.30142
Gao, Z.; Korhonen, R.; Zhang, J.; Zhang, Y.
8
2019
Existence of meromorphic solutions of first-order difference equations. Zbl 1441.39015
Korhonen, Risto; Zhang, Yueyang
6
2020
Tropical value distribution theory and ultra-discrete equations. Zbl 1348.30004
Korhonen, Risto; Laine, Ilpo; Tohge, Kazuya
5
2015
Meromorphic solutions of algebraic difference equations. Zbl 1402.39008
Ishizaki, Katsuya; Korhonen, Risto
5
2018
Order reduction method for linear difference equations. Zbl 1232.39003
Korhonen, R.; Ronkainen, O.
4
2011
Intersections and unions of weighted Bergman spaces. Zbl 1103.30021
Korhonen, Risto; Rättyä, Jouni
4
2005
Existence of zero-order meromorphic solutions in detecting \(q\)-difference Painlevé equations. Zbl 1334.39026
Korhonen, Risto; Wen, Zhi-Tao
4
2016
Value distribution of \(q\)-differences of meromorphic functions in several complex variables. Zbl 1474.32039
Cao, T.-B.; Korhonen, R. J.
3
2020
A Stothers-Mason theorem with a difference radical. Zbl 1473.30019
Ishizaki, Katsuya; Korhonen, Risto; Li, Nan; Tohge, Kazuya
3
2021
A lemma on the difference quotients. Zbl 1441.30046
Korhonen, Risto; Tohge, Kazuya; Zhang, Yueyang; Zheng, Jianhua
3
2020
Variations on a conjecture of C. C. Yang concerning periodicity. Zbl 1486.30097
Liu, Xinling; Korhonen, Risto; Liu, Kai
3
2022
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
3
2019
Second main theorem in the tropical projective space. Zbl 1379.14033
Korhonen, Risto; Tohge, Kazuya
2
2016
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
Three approaches to detecting discrete integrability. Zbl 1423.30024
Halburd, Rod; Korhonen, Risto
2
2019
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
Variations on a conjecture of C. C. Yang concerning periodicity. Zbl 1486.30097
Liu, Xinling; Korhonen, Risto; Liu, Kai
3
2022
A Stothers-Mason theorem with a difference radical. Zbl 1473.30019
Ishizaki, Katsuya; Korhonen, Risto; Li, Nan; Tohge, Kazuya
3
2021
On the periodicity of transcendental entire functions. Zbl 1441.30047
Liu, Xinling; Korhonen, Risto
11
2020
Studies of differences from the point of view of Nevanlinna theory. Zbl 1441.39014
Jianhua, Zheng; Korhonen, Risto
10
2020
Existence of meromorphic solutions of first-order difference equations. Zbl 1441.39015
Korhonen, Risto; Zhang, Yueyang
6
2020
Value distribution of \(q\)-differences of meromorphic functions in several complex variables. Zbl 1474.32039
Cao, T.-B.; Korhonen, R. J.
3
2020
A lemma on the difference quotients. Zbl 1441.30046
Korhonen, Risto; Tohge, Kazuya; Zhang, Yueyang; Zheng, Jianhua
3
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.
8
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
3
2019
Three approaches to detecting discrete integrability. Zbl 1423.30024
Halburd, Rod; Korhonen, Risto
2
2019
Meromorphic solutions of algebraic difference equations. Zbl 1402.39008
Ishizaki, Katsuya; Korhonen, Risto
5
2018
Growth of meromorphic solutions of delay differential equations. Zbl 1361.30049
Halburd, Rod; Korhonen, Risto
26
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
33
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
25
2016
Difference analogue of Cartan’s second main theorem for slowly moving periodic targets. Zbl 1345.32013
Korhonen, Risto; Li, Nan; Tohge, Kazuya
8
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
5
2015
Holomorphic curves with shift-invariant hyperplane preimages. Zbl 1298.32012
Halburd, Rodney; Korhonen, Risto; Tohge, Kazuya
133
2014
Value distribution and linear operators. Zbl 1343.30020
Halburd, R.; Korhonen, R.
9
2014
A difference Picard theorem for meromorphic functions of several variables. Zbl 1242.32008
Korhonen, Risto
36
2012
Uniqueness of meromorphic functions sharing values with their shifts. Zbl 1217.30029
Heittokangas, J.; Korhonen, R.; Laine, I.; Rieppo, J.
78
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
57
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.
134
2009
Finite order solutions of linear differential equations in the unit disc. Zbl 1165.34054
Korhonen, Risto; Rättyä, Jouni
12
2009
An extension of Picard’s theorem for meromorphic functions of small hyper-order. Zbl 1173.30017
Korhonen, Risto
11
2009
Growth estimates for solutions of nonhomogeneous linear complex differential equations. Zbl 1184.34084
Heittokangas, Janne; Korhonen, Risto; Rättyä, Jouni
9
2009
Linear differential equations with coefficients in weighted Bergman and Hardy spaces. Zbl 1133.34045
Heittokangas, Janne; Korhonen, Risto; Rättyä, Jouni
26
2008
Finite-order meromorphic solutions and the discrete Painlevé equations. Zbl 1119.39014
Halburd, R. G.; Korhonen, R. J.
112
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.
78
2007
Meromorphic solutions of difference equations, integrability and the discrete Painlevé equations. Zbl 1115.39024
Halburd, R. G.; Korhonen, R. J.
55
2007
Linear differential equations with solutions in the Dirichlet type subspace of the Hardy space. Zbl 1161.34060
Heittokangas, J.; Korhonen, R.; Rättyä, J.
23
2007
Linear differential equations in the unit disc with analytic solutions of finite order. Zbl 1122.34067
Korhonen, Risto; Rättyä, Jouni
17
2007
Difference analogue of the lemma on the logarithmic derivative with applications to difference equations. Zbl 1085.30026
Halburd, R. G.; Korhonen, R. J.
349
2006
Nevanlinna theory for the difference operator. Zbl 1108.30022
Halburd, R. G.; Korhonen, R. J.
270
2006
Fast growing solutions of linear differential equations in the unit disc. Zbl 1120.34071
Heittokangas, Janne; Korhonen, Risto; Rättyä, Jouni
28
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
Intersections and unions of weighted Bergman spaces. Zbl 1103.30021
Korhonen, Risto; Rättyä, Jouni
4
2005
Growth estimates for solutions of linear complex differential equations. Zbl 1057.34111
Heittokangas, J.; Korhonen, R.; Rättyä, J.
46
2004
Nevanlinna theory in an annulus. Zbl 1102.30025
Korhonen, Risto
20
2004
Generalized logarithmic derivative estimates of Gol’dberg–Grinshtein type. Zbl 1067.30060
Heittokangas, J.; Korhonen, R.; Rättyä, J.
11
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.
23
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
82
2001
On the growth of the logarithmic derivative. Zbl 1013.30018
Benbourenane, Djamel; Korhonen, Risto
2
2001
all top 5

Cited by 424 Authors

56 Xu, Hongyan
42 Chen, Zongxuan
37 Liu, Kai
36 Korhonen, Risto
25 Cao, Tingbin
23 Heittokangas, Janne M.
22 Banerjee, Abhijit
21 Yang, Lianzhong
21 Yi, Hongxun
19 Zheng, Xiumin
18 Li, Xiaomin
18 Zhang, Jilong
16 Li, Sheng
15 Huang, Zhibo
15 Laine, Ilpo
14 Chen, Baoqin
14 Qi, Xiaoguang
14 Rättyä, Jouni
13 Liu, Xinling
13 Wang, Hua
12 Tohge, Kazuya
11 Gao, Zongsheng
11 Haldar, Goutam
11 Lan, Shuangting
11 Wen, Zhitao
11 Yang, Chung-Chun
10 Fang, Mingliang
10 Hu, Peichu
10 Latreuch, Zinelâabidine
10 Li, Nan
10 Liu, Yong
10 Long, Jianren
10 Lu, Feng
10 Lu, Weiran
10 Mao, Zhiqiang
10 Tu, Jin
9 Ahamed, Molla Basir
9 Belaïdi, Benharrat
9 Chen, Junfan
9 Dyavanal, Renukadevi Sangappa
9 Gröhn, Janne
9 Ishizaki, Katsuya
9 Liu, Huifang
9 Majumder, Sujoy
9 Zhang, Ranran
8 Biswas, Tania
8 Qi, Jianming
8 Shon, Kwangho
8 Wu, Zhaojun
7 Hamouda, Saada
7 Liao, Liangwen
7 Liu, Sanyang
7 Sezer, Mehmet
7 Xu, Junfeng
6 Chen, Chuangxin
6 Chen, Shengjiang
6 Chiang, Yik-Man
6 Chyzhykov, Igor Elbertovych
6 Liu, Dan
6 Liu, Manli
6 Roy, Arpita
5 Chen, Minfeng
5 Lin, Weichuan
5 Meng, Chao
5 Sun, Yu
5 Waghamore, Harina Pandit
5 Wang, Qiong
5 Wang, Qiongyan
5 Xiao, Lipeng
5 Yu, Hui
5 Zhang, Yueyang
4 Bhoosnurmath, Subhas S.
4 Chen, Yu
4 Deng, Bingmao
4 Feng, Shaoji
4 Gao, Lingyun
4 Gülsu, Mustafa
4 Halburd, Rodney G.
4 Hu, Guangming
4 Huusko, Juha-Matti
4 Li, Hong
4 Li, Yezhou
4 Liu, Gang
4 Pham Duc Thoan
4 Rieppo, Jarkko
4 Saha, Biswajit
4 Wang, Gang
4 Wang, Jun
4 Xu, Aizhu
4 Xu, Ling
4 Zhang, Qingcai
3 Barki, Mahesh
3 Bellaama, Rachid
3 Bhattacharyya, Saikat
3 Biswas, Tanmay
3 Chen, Wei
3 Chuaqui, Martin
3 Cui, Ning
3 Dai, Huixin
3 Ding, Jie
...and 324 more Authors
all top 5

Cited in 138 Serials

68 Advances in Difference Equations
49 Journal of Mathematical Analysis and Applications
31 Computational Methods and Function Theory
24 Abstract and Applied Analysis
21 Bulletin of the Korean Mathematical Society
20 Analysis Mathematica
15 Complex Variables and Elliptic Equations
14 Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences
13 AIMS Mathematics
12 Open Mathematics
11 Journal of Inequalities and Applications
10 The Journal of Analysis
10 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
10 Mediterranean Journal of Mathematics
9 Bulletin of the Australian Mathematical Society
9 Acta Mathematica Scientia. Series B. (English Edition)
9 Journal of Function Spaces
8 Rocky Mountain Journal of Mathematics
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 Analysis and Mathematical Physics
7 Transactions of the American Mathematical Society
7 Electronic Journal of Differential Equations (EJDE)
7 Discrete Dynamics in Nature and Society
7 Acta Mathematica Sinica. English Series
7 Electronic Journal of Mathematical Analysis and Applications EJMAA
6 The Journal of the Indian Mathematical Society. New Series
6 Proceedings of the Japan Academy. Series A
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 Journal of Mathematical Research with Applications
4 Houston Journal of Mathematics
4 Mathematische Nachrichten
4 Rendiconti del Circolo Matemàtico di Palermo. Serie II
4 Constructive Approximation
4 Aequationes Mathematicae
4 Applied Mathematics. Series B (English Edition)
4 Turkish Journal of Mathematics
4 Tbilisi Mathematical Journal
4 Science China. Mathematics
4 Journal of Applied Mathematics & Informatics
3 Journal of Mathematical Physics
3 Advances in Mathematics
3 Annales Polonici Mathematici
3 Demonstratio Mathematica
3 Mathematische Zeitschrift
3 Chinese Annals of Mathematics. Series B
3 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
3 Bulletin des Sciences Mathématiques
3 Buletinul Academiei de Științe a Republicii Moldova. Matematica
3 Matematychni Studiï
3 Applied Mathematics E-Notes
3 Hacettepe Journal of Mathematics and Statistics
3 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
3 Arabian Journal of Mathematics
3 Palestine Journal of Mathematics
3 Journal of Mathematics
3 Journal of Complex Analysis
2 Indian Journal of Pure & Applied Mathematics
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 Taiwanese Journal of Mathematics
2 Analysis (München)
2 Journal of the Korean Society of Mathematical Education. Series B. The Pure and Applied Mathematics
2 Lobachevskii Journal of Mathematics
2 Journal of Nonlinear Mathematical Physics
2 Journal of the Australian Mathematical Society
2 Complex Analysis and Operator Theory
2 Acta Mathematica Sinica. Chinese Series
2 Journal of Physics A: Mathematical and Theoretical
2 Asian-European Journal of Mathematics
2 Journal of Classical Analysis
2 Mathematics
2 Korean Journal of Mathematics
2 Annales Fennici Mathematici
1 Computers & Mathematics with Applications
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 Bulletin of the London Mathematical Society
1 Canadian Journal of Mathematics
1 Gaṇita
1 Glasgow Mathematical Journal
1 Journal of Differential Equations
...and 38 more Serials

Citations by Year

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