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## Laine, Ilpo

Compute Distance To:
 Author ID: laine.ilpo Published as: Laine, Ilpo; Laine, I.; Laini, Ilpo External Links: IdRef · MGP · Wikidata · GND
 Documents Indexed: 114 Publications since 1970, including 15 Books Reviewing Activity: 219 Reviews Biographic References: 3 Publications
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#### Co-Authors

 27 single-authored 11 Tohge, Kazuya 9 Bank, Steven B. 9 Heittokangas, Janne 9 Yang, Chung-Chun 8 Rieppo, Jarkko 7 Hinkkanen, Aimo 6 Barsegian, Grigor A. 5 Ishizaki, Katsuya 5 Korhonen, Risto 4 Gundersen, Gary G. 3 Charak, Kuldeep Singh 3 Chiang, Yik-Man 3 He, Yuzan 3 Kinnunen, Liisa 3 Liu, Kai 3 Martio, Olli 3 Shimomura, Shun 3 Sorvali, Tuomas 3 Wang, Jun 2 Bergweiler, Walter 2 Katajamäki, Kari 2 Langley, James K. 2 Rickman, Seppo Uolevi 2 Wang, Shupei 2 Wen, Zhitao 2 Wu, Pengcheng 1 Aulaskari, Rauno 1 Barnard, Roger W. 1 Begehr, Heinrich 1 Eriksson, Sirkka-Liisa 1 Frank, Günter 1 Gackstatter, Fritz 1 Gromak, Valeriĭ Ivanovich 1 Hua, Xinhou 1 Kondratyuk, Andriy Andriyovych 1 Latreuch, Zinelâabidine 1 Lê Dûng Tráng 1 Lehto, Olli E. 1 Li, Kin-Yin 1 Pesonen, Martti E. 1 Silvennoinen, Heli 1 Wu, Shengjian 1 Yang, Degui 1 Yang, Dequi 1 Yang, Lianzhong 1 Yang, Ronghua 1 Zhang, Jilong
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#### Serials

 5 Journal of Mathematical Analysis and Applications 5 Results in Mathematics 5 Complex Variables. Theory and Application 4 Revue Roumaine de Mathématiques Pures et Appliquées 4 Annales Academiae Scientiarum Fennicae. Series A I. Mathematica 4 Mathematica Scandinavica 4 Annales Academiae Scientiarum Fennicae. Mathematica 4 Computational Methods and Function Theory 3 Arkhimedes 3 Journal d’Analyse Mathématique 3 Acta Mathematica Sinica. English Series 3 Complex Variables and Elliptic Equations 3 De Gruyter Studies in Mathematics 3 Lecture Notes in Mathematics 3 Annales Academiae Scientiarum Fennicae. Series A I 2 Bulletin of the Australian Mathematical Society 2 Mathematische Zeitschrift 2 Proceedings of the Japan Academy. Series A 2 Transactions of the American Mathematical Society 2 Aequationes Mathematicae 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Annales Polonici Mathematici 1 Bulletin of the London Mathematical Society 1 Commentarii Mathematici Helvetici 1 Hokkaido Mathematical Journal 1 Journal of Differential Equations 1 Journal of the London Mathematical Society. Second Series 1 Journal of the Mathematical Society of Japan 1 Journal für die Reine und Angewandte Mathematik 1 Japanese Journal of Mathematics. New Series 1 Mathematische Annalen 1 Proceedings of the American Mathematical Society 1 Proceedings of the London Mathematical Society. Third Series 1 Tohoku Mathematical Journal. Second Series 1 Zeitschrift für Analysis und ihre Anwendungen 1 Analysis 1 Bulletin of the Korean Mathematical Society 1 Acta Mathematica Universitatis Comenianae. New Series 1 Bulletin of the American Mathematical Society. New Series 1 Electronic Journal of Differential Equations (EJDE) 1 Bulletin de la Société des Sciences et des Lettres de Łódź. Série: Recherches sur les Déformations 1 Abstract and Applied Analysis 1 The Bulletin of the Hong Kong Mathematical Society 1 Matematychni Studiï 1 Bericht. Universität Jyväskylä. Mathematisches Institut
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#### Fields

 68 Functions of a complex variable (30-XX) 66 Ordinary differential equations (34-XX) 17 Potential theory (31-XX) 14 Difference and functional equations (39-XX) 10 General and overarching topics; collections (00-XX) 4 Several complex variables and analytic spaces (32-XX) 3 Partial differential equations (35-XX) 2 History and biography (01-XX) 2 Special functions (33-XX) 2 Functional analysis (46-XX) 1 Field theory and polynomials (12-XX) 1 Algebraic geometry (14-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Probability theory and stochastic processes (60-XX)

#### Citations contained in zbMATH Open

76 Publications have been cited 1,501 times in 821 Documents Cited by Year
Nevanlinna theory and complex differential equations. Zbl 0784.30002
Laine, Ilpo
1992
Clunie theorems for difference and $$q$$-difference polynomials. Zbl 1132.30013
Laine, Ilpo; Yang, Chung-Chun
2007
Painlevé differential equations in the complex plane. Zbl 1043.34100
Gromak, V. I.; Laine, Ilpo; Shimomura, Shun
2002
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.
2009
On the oscillation theory of f”+Af=0 where A is entire. Zbl 0505.34026
Bank, Steven B.; Laine, Ilpo
1982
Value distribution of difference polynomials. Zbl 1153.30030
Laine, Ilpo; Yang, Chung-Chun
2007
Complex difference equations of Malmquist type. Zbl 1013.39001
Heittokangas, Janne; Korhonen, Risto; Laine, Ilpo; Rieppo, Jarkko; Tohge, Kazuya
2001
On analogies between nonlinear difference and differential equations. Zbl 1207.34118
Yang, Chung-Chun; Laine, Ilpo
2010
Uniqueness of meromorphic functions sharing values with their shifts. Zbl 1217.30029
Heittokangas, J.; Korhonen, R.; Laine, I.; Rieppo, J.
2011
On the frequency of zeros of solutions of second order linear differential equations. Zbl 0635.34007
Bank, Steven B.; Laine, Ilpo; Langley, J. K.
1986
Meromorphic solutions of generalized Schröder equations. Zbl 1012.30016
Gundersen, Gary G.; Heittokangas, Janne; Laine, Ilpo; Rieppo, Jarkko; Yang, Dequi
2002
On the zeros of meromorphic solutions of second-order linear differential equations. Zbl 0532.34008
Bank, Steven B.; Laine, Ilpo
1983
Representations of solutions of periodic second order linear differential equations. Zbl 0524.34007
Bank, Steven B.; Laine, Ilpo
1983
Solutions of the first and second Painlevé equations are meromorphic. Zbl 0986.34074
Hinkkanen, Aimo; Laine, Ilpo
1999
Zur Theorie der gewöhnlichen Differentialgleichungen im Komplexen. Zbl 0454.34003
Gackstatter, Fritz; Laine, Ilpo
1980
On the growth of meromorphic solutions of linear and algebraic differential equations. Zbl 0367.34004
Bank, Steven; Laine, Ilpo
1977
Remarks on complex difference equations. Zbl 1093.39018
Laine, Ilpo; Rieppo, Jarkko; Silvennoinen, Heli
2005
On meromorphic solutions of certain nonlinear differential equations. Zbl 1047.34101
Heittokangas, J.; Korhonen, R.; Laine, I.
2002
Growth of solutions of second order linear differential equations. Zbl 0952.34070
Laine, Ilpo; Wu, Pengcheng
2000
Meromorphic solutions of the Riccati differential equation. Zbl 0493.34007
Bank, Steven B.; Gundersen, Gary G.; Laine, Ilpo
1981
Complex differential equations. Zbl 1209.34002
Laine, Ilpo
2008
A note on value distribution of difference polynomials. Zbl 1201.30035
Liu, K.; Laine, I.
2010
Exponential polynomials as solutions of certain nonlinear difference equations. Zbl 1260.39027
Wen, Zhi Tao; Heittokangas, Janne; Laine, Ilpo
2012
Oscillation results for solutions of linear differential equations in the complex domain. Zbl 0705.34008
Bank, Steven B.; Laine, Ilpo; Langley, J. K.
1989
Growth of solutions of second order linear differential equations. Zbl 1151.34069
Wang, Jun; Laine, Ilpo
2008
Meromorphic functions in multiply connected domains. Zbl 1144.30013
Kondratyuk, Andriy; Laine, Ilpo
2006
On the behaviour of the solutions of some first order differential equations. Zbl 0233.34007
Laine, Ilpo
1971
The Hayman-Miles theorem and the differential equation $$(y')^ n=R(z,y)$$. Zbl 0715.34010
He, Yuzan; Laine, Ilpo
1990
Completely regular growth solutions of second order complex linear differential equations. Zbl 1337.34089
Heittokangas, Janne; Laine, Ilpo; Tohge, Kazuya; Wen, Zhi-Tao
2015
Meromorphic solutions of some linear functional equations. Zbl 0963.39028
Heittokangas, Janne; Laine, Ilpo; Rieppo, Jarkko; Yang, Degui
2000
Solutions of a modified third Painlevé equation are meromorphic. Zbl 1015.34082
Hinkkanen, Aimo; Laine, Ilpo
2001
Solutions of $$f''+A(z)f=0$$ with prescribed sequences of zeros. Zbl 1164.34562
Heittokangas, J.; Laine, I.
2005
Über die Nullstellen von Lösungen linearer Differentialgleichungen. Zbl 0494.34005
Bank, Steven B.; Frank, Guenter; Laine, Ilpo
1983
Differential polynomials generated by linear differential equations. Zbl 1080.34076
Laine, Ilpo; Rieppo, Jarkko
2004
Growth of solutions of nonhomogeneous linear differential equations. Zbl 1172.34058
Wang, Jun; Laine, Ilpo
2009
Admissible solutions of some generalized algebraic differential equations. Zbl 0288.34003
Laine, Ilpo
1974
On the oscillation theory of $$f^2+Af=0$$ where $$A$$ is entire. Zbl 0484.34001
Bank, Steven B.; Laine, Ilpo
1982
Tropical Nevanlinna theory and second main theorem. Zbl 1243.39006
Laine, Ilpo; Tohge, Kazuya
2011
Entire solutions of some non-linear differential equations. Zbl 1243.30058
Laine, Ilpo; Yang, Chung-Chun
2009
A note on the complex oscillation theory of non-homogeneous linear differential equations. Zbl 0723.34028
Laine, Ilpo
1990
On the meromorphic solutions of some algebraic differential equations. Zbl 0593.34014
Gundersen, Gary G.; Laine, Ilpo
1985
An oscillation result on a third order linear differential equation with entire periodic coefficients. Zbl 0951.34065
Chiang, Yik-Man; Laine, Ilpo; Wang, Shupei
1997
On the value distribution of some composite meromorphic functions. Zbl 0799.30021
Katajamäki, Kari; Kinnunen, Liisa; Laine, Ilpo
1993
The meromorphic nature of the sixth Painlevé transcendents. Zbl 1115.34084
Hinkkanen, Aimo; Laine, Ilpo
2004
Tropical value distribution theory and ultra-discrete equations. Zbl 1348.30004
Korhonen, Risto; Laine, Ilpo; Tohge, Kazuya
2015
On topological behaviour of solutions of some algebraic differential equations. Zbl 1163.34057
Barsegian, G.; Laine, I.; Lê, D. T.
2008
Covering properties of harmonic BL-mappings. III. Zbl 0328.31014
Laine, Ilpo
1975
On a method of estimating derivatives in complex differential equations. Zbl 1052.34084
Barsegian, Grigor A.; Laine, Ilpo; Yang, Chung-chun
2002
Riccati differential equations with elliptic coefficients. Zbl 0954.34076
Ishizaki, Katsuya; Laine, Ilpo; Shimomura, Shun; Tohge, Kazuya
2000
On the value distribution of composite entire functions. Zbl 0777.30013
Katajamäki, Kari; Kinnunen, Liisa; Laine, Ilpo
1992
Finite order solutions of complex linear differential equations. Zbl 1063.30031
Laine, Ilpo; Yang, Ronghua
2004
Uniqueness of entire functions and their derivatives. Zbl 1152.30029
Wang, Jun; Laine, Ilpo
2008
Solutions of a modified fifth Painlevé equation are meromorphic. Zbl 1017.34090
Hinkkanen, Aimo; Laine, Ilpo
2001
Local solutions of $$w''+A(z)w=0$$ and branched polymorphic functions. Zbl 0652.34006
Laine, Ilpo; Sorvali, Tuomas
1986
Introduction to local theory of complex differential equations. Zbl 1043.34096
Laine, Ilpo
2003
Open problems in complex analysis. Zbl 0822.30001
Bergweiler, W.; Laine, I.
1994
Riccati differential equations with elliptic coefficients. II. Zbl 1088.34074
Ishizaki, Katsuya; Laine, Ilpo; Shimomura, Shun; Tohge, Kazuya
2003
The Bank-Laine conjecture – a survey. Zbl 1232.34116
Laine, Ilpo; Tohge, Kazuya
2008
On the oscillation of certain second-order linear differential equations. Zbl 1004.34079
Laine, Ilpo; Wu, Pengcheng
1999
Zero distribution of some shift polynomials. Zbl 1405.30029
Laine, Ilpo
2019
On the growth of algebroid solutions of algebraic differential equations. Zbl 0599.34010
He, Yuzan; Laini, Ilpo
1986
Locations of values of meromorphic solutions of algebraic differential equations. Zbl 1048.34142
Barsegian, G. A.; Laine, I.; Yang, C. C.
2001
Removable sets in the oscillation theory of complex differential equations. Zbl 0893.34004
Laine, Ilpo; Wu, Shengjian
1997
Growth results for Painlevé transcendents. Zbl 1069.34131
Hinkkanen, Aimo; Laine, Ilpo
2004
Stability phenomenon and problems for complex differential equations with relations to shared values. Zbl 1002.34078
Barsegian, G. A.; Laine, I.; Yang, C. C.
2000
Tropical versions of Clunie and Mohon’ko lemmas. Zbl 1184.14094
Laine, Ilpo; Yang, Chung-Chun
2010
Oscillation results for some linear differential equations. Zbl 0853.34005
Chiang, Yik-Man; Laine, Ilpo; Wang, Shupei
1995
Complex oscillation and nonoscillation results. Zbl 1429.34087
Heittokangas, Janne; Ishizaki, Katsuya; Laine, Ilpo; Tohge, Kazuya
2019
Tropical variants of some complex analysis results. Zbl 1359.30052
Laine, Ilpo; Liu, Kai; Tohge, Kazuya
2016
Existence of meromorphic solutions of algebraic differential equations. Zbl 0719.34010
Gundersen, Gary G.; Laine, Ilpo
1990
Admissible solutions of Riccati differential equations. Zbl 0255.34006
Laine, Ilpo
1972
Covering properties of harmonic BL- mappings. II. Zbl 0294.31011
Laine, Ilpo
1974
Full-hyperharmonic structures on harmonic spaces. I. Zbl 0361.31007
Laine, Ilpo
1978
Full-hyperharmonic structures on harmonic spaces. II. Zbl 0361.31008
Laine, Ilpo
1978
On a class of prime entire functions. Zbl 1185.30020
Charak, Kuldeep Singh; Laine, Ilpo
2009
Introduction to a quasilinear potential theory. Zbl 0593.31013
Laine, Ilpo
1985
Zero distribution of some shift polynomials. Zbl 1405.30029
Laine, Ilpo
2019
Complex oscillation and nonoscillation results. Zbl 1429.34087
Heittokangas, Janne; Ishizaki, Katsuya; Laine, Ilpo; Tohge, Kazuya
2019
Tropical variants of some complex analysis results. Zbl 1359.30052
Laine, Ilpo; Liu, Kai; Tohge, Kazuya
2016
Completely regular growth solutions of second order complex linear differential equations. Zbl 1337.34089
Heittokangas, Janne; Laine, Ilpo; Tohge, Kazuya; Wen, Zhi-Tao
2015
Tropical value distribution theory and ultra-discrete equations. Zbl 1348.30004
Korhonen, Risto; Laine, Ilpo; Tohge, Kazuya
2015
Exponential polynomials as solutions of certain nonlinear difference equations. Zbl 1260.39027
Wen, Zhi Tao; Heittokangas, Janne; Laine, Ilpo
2012
Uniqueness of meromorphic functions sharing values with their shifts. Zbl 1217.30029
Heittokangas, J.; Korhonen, R.; Laine, I.; Rieppo, J.
2011
Tropical Nevanlinna theory and second main theorem. Zbl 1243.39006
Laine, Ilpo; Tohge, Kazuya
2011
On analogies between nonlinear difference and differential equations. Zbl 1207.34118
Yang, Chung-Chun; Laine, Ilpo
2010
A note on value distribution of difference polynomials. Zbl 1201.30035
Liu, K.; Laine, I.
2010
Tropical versions of Clunie and Mohon’ko lemmas. Zbl 1184.14094
Laine, Ilpo; Yang, Chung-Chun
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.
2009
Growth of solutions of nonhomogeneous linear differential equations. Zbl 1172.34058
Wang, Jun; Laine, Ilpo
2009
Entire solutions of some non-linear differential equations. Zbl 1243.30058
Laine, Ilpo; Yang, Chung-Chun
2009
On a class of prime entire functions. Zbl 1185.30020
Charak, Kuldeep Singh; Laine, Ilpo
2009
Complex differential equations. Zbl 1209.34002
Laine, Ilpo
2008
Growth of solutions of second order linear differential equations. Zbl 1151.34069
Wang, Jun; Laine, Ilpo
2008
On topological behaviour of solutions of some algebraic differential equations. Zbl 1163.34057
Barsegian, G.; Laine, I.; Lê, D. T.
2008
Uniqueness of entire functions and their derivatives. Zbl 1152.30029
Wang, Jun; Laine, Ilpo
2008
The Bank-Laine conjecture – a survey. Zbl 1232.34116
Laine, Ilpo; Tohge, Kazuya
2008
Clunie theorems for difference and $$q$$-difference polynomials. Zbl 1132.30013
Laine, Ilpo; Yang, Chung-Chun
2007
Value distribution of difference polynomials. Zbl 1153.30030
Laine, Ilpo; Yang, Chung-Chun
2007
Meromorphic functions in multiply connected domains. Zbl 1144.30013
Kondratyuk, Andriy; Laine, Ilpo
2006
Remarks on complex difference equations. Zbl 1093.39018
Laine, Ilpo; Rieppo, Jarkko; Silvennoinen, Heli
2005
Solutions of $$f''+A(z)f=0$$ with prescribed sequences of zeros. Zbl 1164.34562
Heittokangas, J.; Laine, I.
2005
Differential polynomials generated by linear differential equations. Zbl 1080.34076
Laine, Ilpo; Rieppo, Jarkko
2004
The meromorphic nature of the sixth Painlevé transcendents. Zbl 1115.34084
Hinkkanen, Aimo; Laine, Ilpo
2004
Finite order solutions of complex linear differential equations. Zbl 1063.30031
Laine, Ilpo; Yang, Ronghua
2004
Growth results for Painlevé transcendents. Zbl 1069.34131
Hinkkanen, Aimo; Laine, Ilpo
2004
Introduction to local theory of complex differential equations. Zbl 1043.34096
Laine, Ilpo
2003
Riccati differential equations with elliptic coefficients. II. Zbl 1088.34074
Ishizaki, Katsuya; Laine, Ilpo; Shimomura, Shun; Tohge, Kazuya
2003
Painlevé differential equations in the complex plane. Zbl 1043.34100
Gromak, V. I.; Laine, Ilpo; Shimomura, Shun
2002
Meromorphic solutions of generalized Schröder equations. Zbl 1012.30016
Gundersen, Gary G.; Heittokangas, Janne; Laine, Ilpo; Rieppo, Jarkko; Yang, Dequi
2002
On meromorphic solutions of certain nonlinear differential equations. Zbl 1047.34101
Heittokangas, J.; Korhonen, R.; Laine, I.
2002
On a method of estimating derivatives in complex differential equations. Zbl 1052.34084
Barsegian, Grigor A.; Laine, Ilpo; Yang, Chung-chun
2002
Complex difference equations of Malmquist type. Zbl 1013.39001
Heittokangas, Janne; Korhonen, Risto; Laine, Ilpo; Rieppo, Jarkko; Tohge, Kazuya
2001
Solutions of a modified third Painlevé equation are meromorphic. Zbl 1015.34082
Hinkkanen, Aimo; Laine, Ilpo
2001
Solutions of a modified fifth Painlevé equation are meromorphic. Zbl 1017.34090
Hinkkanen, Aimo; Laine, Ilpo
2001
Locations of values of meromorphic solutions of algebraic differential equations. Zbl 1048.34142
Barsegian, G. A.; Laine, I.; Yang, C. C.
2001
Growth of solutions of second order linear differential equations. Zbl 0952.34070
Laine, Ilpo; Wu, Pengcheng
2000
Meromorphic solutions of some linear functional equations. Zbl 0963.39028
Heittokangas, Janne; Laine, Ilpo; Rieppo, Jarkko; Yang, Degui
2000
Riccati differential equations with elliptic coefficients. Zbl 0954.34076
Ishizaki, Katsuya; Laine, Ilpo; Shimomura, Shun; Tohge, Kazuya
2000
Stability phenomenon and problems for complex differential equations with relations to shared values. Zbl 1002.34078
Barsegian, G. A.; Laine, I.; Yang, C. C.
2000
Solutions of the first and second Painlevé equations are meromorphic. Zbl 0986.34074
Hinkkanen, Aimo; Laine, Ilpo
1999
On the oscillation of certain second-order linear differential equations. Zbl 1004.34079
Laine, Ilpo; Wu, Pengcheng
1999
An oscillation result on a third order linear differential equation with entire periodic coefficients. Zbl 0951.34065
Chiang, Yik-Man; Laine, Ilpo; Wang, Shupei
1997
Removable sets in the oscillation theory of complex differential equations. Zbl 0893.34004
Laine, Ilpo; Wu, Shengjian
1997
Oscillation results for some linear differential equations. Zbl 0853.34005
Chiang, Yik-Man; Laine, Ilpo; Wang, Shupei
1995
Open problems in complex analysis. Zbl 0822.30001
Bergweiler, W.; Laine, I.
1994
On the value distribution of some composite meromorphic functions. Zbl 0799.30021
Katajamäki, Kari; Kinnunen, Liisa; Laine, Ilpo
1993
Nevanlinna theory and complex differential equations. Zbl 0784.30002
Laine, Ilpo
1992
On the value distribution of composite entire functions. Zbl 0777.30013
Katajamäki, Kari; Kinnunen, Liisa; Laine, Ilpo
1992
The Hayman-Miles theorem and the differential equation $$(y')^ n=R(z,y)$$. Zbl 0715.34010
He, Yuzan; Laine, Ilpo
1990
A note on the complex oscillation theory of non-homogeneous linear differential equations. Zbl 0723.34028
Laine, Ilpo
1990
Existence of meromorphic solutions of algebraic differential equations. Zbl 0719.34010
Gundersen, Gary G.; Laine, Ilpo
1990
Oscillation results for solutions of linear differential equations in the complex domain. Zbl 0705.34008
Bank, Steven B.; Laine, Ilpo; Langley, J. K.
1989
On the frequency of zeros of solutions of second order linear differential equations. Zbl 0635.34007
Bank, Steven B.; Laine, Ilpo; Langley, J. K.
1986
Local solutions of $$w''+A(z)w=0$$ and branched polymorphic functions. Zbl 0652.34006
Laine, Ilpo; Sorvali, Tuomas
1986
On the growth of algebroid solutions of algebraic differential equations. Zbl 0599.34010
He, Yuzan; Laini, Ilpo
1986
On the meromorphic solutions of some algebraic differential equations. Zbl 0593.34014
Gundersen, Gary G.; Laine, Ilpo
1985
Introduction to a quasilinear potential theory. Zbl 0593.31013
Laine, Ilpo
1985
On the zeros of meromorphic solutions of second-order linear differential equations. Zbl 0532.34008
Bank, Steven B.; Laine, Ilpo
1983
Representations of solutions of periodic second order linear differential equations. Zbl 0524.34007
Bank, Steven B.; Laine, Ilpo
1983
Über die Nullstellen von Lösungen linearer Differentialgleichungen. Zbl 0494.34005
Bank, Steven B.; Frank, Guenter; Laine, Ilpo
1983
On the oscillation theory of f”+Af=0 where A is entire. Zbl 0505.34026
Bank, Steven B.; Laine, Ilpo
1982
On the oscillation theory of $$f^2+Af=0$$ where $$A$$ is entire. Zbl 0484.34001
Bank, Steven B.; Laine, Ilpo
1982
Meromorphic solutions of the Riccati differential equation. Zbl 0493.34007
Bank, Steven B.; Gundersen, Gary G.; Laine, Ilpo
1981
Zur Theorie der gewöhnlichen Differentialgleichungen im Komplexen. Zbl 0454.34003
Gackstatter, Fritz; Laine, Ilpo
1980
Full-hyperharmonic structures on harmonic spaces. I. Zbl 0361.31007
Laine, Ilpo
1978
Full-hyperharmonic structures on harmonic spaces. II. Zbl 0361.31008
Laine, Ilpo
1978
On the growth of meromorphic solutions of linear and algebraic differential equations. Zbl 0367.34004
Bank, Steven; Laine, Ilpo
1977
Covering properties of harmonic BL-mappings. III. Zbl 0328.31014
Laine, Ilpo
1975
Admissible solutions of some generalized algebraic differential equations. Zbl 0288.34003
Laine, Ilpo
1974
Covering properties of harmonic BL- mappings. II. Zbl 0294.31011
Laine, Ilpo
1974
Admissible solutions of Riccati differential equations. Zbl 0255.34006
Laine, Ilpo
1972
On the behaviour of the solutions of some first order differential equations. Zbl 0233.34007
Laine, Ilpo
1971
all top 5

#### Cited by 498 Authors

 49 Chen, Zongxuan 35 Laine, Ilpo 32 Xu, Hongyan 32 Yi, Hongxun 26 Langley, James K. 23 Korhonen, Risto 21 Ishizaki, Katsuya 21 Yang, Lianzhong 19 Li, Xiaomin 17 Bank, Steven B. 17 Zheng, Xiumin 16 Li, Sheng 15 Cao, Tingbin 15 Liu, Kai 15 Tohge, Kazuya 15 Yang, Chung-Chun 14 Kudryashov, Nikolaĭ Alekseevich 13 Chen, Baoqin 13 Gundersen, Gary G. 12 Belaïdi, Benharrat 12 Heittokangas, Janne 12 Liao, Liangwen 12 Qi, Xiaoguang 12 Tu, Jin 12 Zhang, Jilong 11 Huang, Zhibo 11 Long, Jianren 11 Lu, Feng 11 Shimomura, Shun 10 Biswas, Tanmay 10 Gao, Zongsheng 10 Lu, Weiran 10 Shon, Kwangho 10 Yuan, Wenjun 9 Filipuk, Galina V. 9 Goryuchkina, Irina V. 9 Gröhn, Janne 9 Liu, Yong 9 Mao, Zhiqiang 9 Rättyä, Jouni 9 Wang, Jun 9 Wen, Zhitao 8 Bruno, Alexander Dmitrievich 8 Chiang, Yik-Man 8 Hu, Peichu 8 Latreuch, Zinelâabidine 8 Lin, Weichuan 8 Liu, Huifang 8 Liu, Xinling 8 Qi, Jianming 8 Toda, Nobushige 8 Xu, Junfeng 7 Clarkson, Peter A. 7 Gao, Shian 7 Gromak, Valeriĭ Ivanovich 7 Lan, Shuangting 6 Lahiri, Indrajit 6 Majumder, Sujoy 6 Zhang, Guowei 6 Zhang, Ranran 6 Zhang, Xiaobin 5 Alotaibi, Abdullah M. 5 Bergweiler, Walter 5 el Farissi, Abdallah 5 Halburd, Rodney G. 5 Huang, Zhigang 5 Li, Yezhou 5 Sahoo, Pulak 5 Steinmetz, Norbert 5 Wang, Qiong 5 Wang, Shupei 5 Wang, Yuefei 5 Wu, Pengcheng 4 Barsegian, Grigor A. 4 Chen, Minfeng 4 Chen, Shengjiang 4 Chen, Yang 4 Ding, Jie 4 Dyavanal, Renukadevi Sangappa 4 Eremenko, Alexandre Émmanuilovich 4 Fang, Mingliang 4 Feng, Shaoji 4 Fornberg, Bengt 4 Gao, Lingyun 4 Hamouda, Saada 4 Hinkkanen, Aimo 4 Hone, Andrew N. W. 4 Liu, Nana 4 Liu, Sanyang 4 Rieppo, Jarkko 4 Rossi, John F. 4 Steinbart, Enid M. 4 Wang, Qiongyan 4 Xuan, Zuxing 4 Ye, Zhuan 4 Zhang, Jianjun 4 Zhu, Jun 3 Asiri, Asim M. 3 Barki, Mahesh 3 Bhoosnurmath, Subhas S. ...and 398 more Authors
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#### Cited in 169 Serials

 66 Journal of Mathematical Analysis and Applications 62 Advances in Difference Equations 48 Computational Methods and Function Theory 32 Results in Mathematics 32 Abstract and Applied Analysis 22 Kodai Mathematical Journal 17 Proceedings of the Japan Academy. Series A 16 Proceedings of the American Mathematical Society 16 Bulletin of the Korean Mathematical Society 14 Transactions of the American Mathematical Society 14 Acta Mathematica Sinica. English Series 13 Journal of Mathematical Physics 13 Journal of Inequalities and Applications 12 Journal d’Analyse Mathématique 12 Constructive Approximation 12 Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences 10 Bulletin of the Australian Mathematical Society 10 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 9 Proceedings of the Edinburgh Mathematical Society. Series II 9 Differential Equations 8 Archiv der Mathematik 8 Journal of Differential Equations 8 Annales Academiae Scientiarum Fennicae. Mathematica 8 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 8 Complex Variables and Elliptic Equations 7 Ukrainian Mathematical Journal 7 Tohoku Mathematical Journal. Second Series 7 Applied Mathematics. Series B (English Edition) 7 Journal of Mathematical Sciences (New York) 7 Discrete Dynamics in Nature and Society 6 Journal of Difference Equations and Applications 6 Doklady Mathematics 6 Mediterranean Journal of Mathematics 6 Science China. Mathematics 6 Electronic Journal of Mathematical Analysis and Applications EJMAA 6 Open Mathematics 6 Korean Journal of Mathematics 5 Israel Journal of Mathematics 5 Rocky Mountain Journal of Mathematics 5 Applied Mathematics and Computation 5 Mathematische Annalen 5 Mathematische Zeitschrift 5 Regular and Chaotic Dynamics 5 Journal of Function Spaces 4 Physics Letters. A 4 Theoretical and Mathematical Physics 4 Chaos, Solitons and Fractals 4 Czechoslovak Mathematical Journal 4 Physica D 4 Aequationes Mathematicae 4 Georgian Mathematical Journal 4 Communications of the Korean Mathematical Society 4 Journal of Nonlinear Mathematical Physics 4 Tbilisi Mathematical Journal 4 Random Matrices: Theory and Applications 3 Analysis Mathematica 3 Advances in Mathematics 3 Annali di Matematica Pura ed Applicata. Serie Quarta 3 Mathematische Nachrichten 3 Mathematica Slovaca 3 Nagoya Mathematical Journal 3 Rendiconti del Circolo Matemàtico di Palermo. Serie II 3 Acta Mathematicae Applicatae Sinica. English Series 3 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 3 The Journal of Analysis 3 Turkish Journal of Mathematics 3 Taiwanese Journal of Mathematics 3 Matematychni Studiï 3 Journal of the Australian Mathematical Society 3 Acta Mathematica Scientia. Series B. (English Edition) 3 Ufimskiĭ Matematicheskiĭ Zhurnal 3 Journal of Mathematics 3 Journal of Complex Analysis 2 Applicable Analysis 2 Computers & Mathematics with Applications 2 Lithuanian Mathematical Journal 2 Fasciculi Mathematici 2 Journal of Computational and Applied Mathematics 2 Monatshefte für Mathematik 2 Zeitschrift für Analysis und ihre Anwendungen 2 Chinese Annals of Mathematics. Series B 2 Acta Applicandae Mathematicae 2 Science in China. Series A 2 Mathematica Bohemica 2 The Journal of Geometric Analysis 2 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 2 Electronic Journal of Differential Equations (EJDE) 2 Opuscula Mathematica 2 Conformal Geometry and Dynamics 2 Novi Sad Journal of Mathematics 2 Communications in Nonlinear Science and Numerical Simulation 2 Applied Mathematics E-Notes 2 Frontiers of Mathematics in China 2 Journal of Mathematical Inequalities 2 $$p$$-Adic Numbers, Ultrametric Analysis, and Applications 2 Analysis and Mathematical Physics 2 Afrika Matematika 2 Arabian Journal of Mathematics 2 Journal of Applied Analysis and Computation 2 Palestine Journal of Mathematics ...and 69 more Serials
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#### Cited in 35 Fields

 585 Functions of a complex variable (30-XX) 391 Ordinary differential equations (34-XX) 199 Difference and functional equations (39-XX) 48 Special functions (33-XX) 31 Dynamical systems and ergodic theory (37-XX) 26 Partial differential equations (35-XX) 20 Several complex variables and analytic spaces (32-XX) 8 Number theory (11-XX) 8 Linear and multilinear algebra; matrix theory (15-XX) 7 Algebraic geometry (14-XX) 7 Harmonic analysis on Euclidean spaces (42-XX) 6 Potential theory (31-XX) 6 Probability theory and stochastic processes (60-XX) 6 Quantum theory (81-XX) 5 Operator theory (47-XX) 5 Numerical analysis (65-XX) 4 History and biography (01-XX) 4 Combinatorics (05-XX) 4 Field theory and polynomials (12-XX) 3 Approximations and expansions (41-XX) 2 General and overarching topics; collections (00-XX) 2 Commutative algebra (13-XX) 2 Group theory and generalizations (20-XX) 2 Real functions (26-XX) 2 Functional analysis (46-XX) 1 Integral equations (45-XX) 1 Differential geometry (53-XX) 1 Manifolds and cell complexes (57-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Computer science (68-XX) 1 Mechanics of particles and systems (70-XX) 1 Fluid mechanics (76-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Relativity and gravitational theory (83-XX) 1 Information and communication theory, circuits (94-XX)

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