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Ilpo Laine

Ilpo Laine

Professor, Emeritus

Department of Physics and Mathematics, Faculty of Science, Forestry and Technology

[email protected]

Information Publications

Professor emeritus, mathematics.

Research groups

Complex Analysis 30.08.2018 -

Keywords

complex analysis Nevanlinna theory

Publications

64/64 items

Zero distribution of delay-differential polynomials
Latreuch, Zinelaabidine; Laine, Ilpo, 2026, Analysis and mathematical physics, 16, 2, 20. A1 Journal article (refereed), original research
Growth of solutions of some second order differential equations with entire coefficients
Huang, Zhi Bo; Laine, Ilpo; Lin, Jia Ling, 2025, Bulletin of the korean mathematical society, 62, 1, 1-14. A1 Journal article (refereed), original research
A Note on Some Riccati Differential Equations
Laine, I; Liu, K, 2024, Journal of contemporary mathematical analysis: Armenian Academy of Sciences, 59, 5, 387-395. A1 Journal article (refereed), original research
Notes on Fermat-Type Difference Equations
Laine, Ilpo; Latreuch, Zinelaabidine, 2024, Bulletin of the australian mathematical society, 111, 2, 324-335. A1 Journal article (refereed), original research
Value Sharing and Stirling Numbers
Hinkkanen, Aimo; Laine, Ilpo, 2024, Computational methods and function theory, 24, 3, 631-660. A1 Journal article (refereed), original research
Growth of solutions to higher order differential equations with Mittag-Leffler coefficients
Huang, Zhi-Bo; Laine, Ilpo; Luo, Min-Wei, 2023, Houston journal of mathematics, 47, 4, 853–865. A1 Journal article (refereed), original research
New Findings on the Periodicity of Entire Functions and Their Differential Polynomials
Zemirni, M A; Laine, I; Latreuch, Z, 2023, Mediterranean journal of mathematics, 20, 3, 136. A1 Journal article (refereed), original research
Remarks on Meromorphic Solutions of Some Delay-Differential Equations
Laine, I; Latreuch, Z, 2022, Analysis mathematica, 48, 4, 1081-1104. A1 Journal article (refereed), original research
Complex Delay-Differential Equations
Liu, Kai; Laine, Ilpo; Yang, Lianzhong, 2021, De Gruyter. C1 Book
Complex oscillation of solutions of a third order ODE
Hinkkanen, A; Ishizaki, K; Laine, I; Li, KY, 2020, Annales academiae scientiarum fennicae-mathematica, 45, 1, 451-466. A1 Journal article (refereed), original research
Exponential polynomials in the oscillation theory
Heittokangas, Janne; Ishizaki, Katsuya; Laine, Ilpo; Tohge, Kazuya, 2020, Journal of differential equations, 272, 911-937. A1 Journal article (refereed), original research
Zero distribution of some delay-differential polynomials
Laine, Ilpo; Latreuch, Zinelaabidine, 2020, Bulletin of the korean mathematical society, 57, 6, 1541-1565. A1 Journal article (refereed), original research
Stephan Ruscheweyh 1944-2019
Barnard, Roger; Bergweiler, Walter; Laine, Ilpo, 2019, Computational methods and function theory, 19, 4, 541-544. B1 Non-refereed journal articles
Tropical meromorphic functionsin a finite interval
Laine, Ilpo; Tohge, Kazuya, 2019, Annales academiae scientiarum fennicae-mathematica, 44, 341-361. A1 Journal article (refereed), original research
Zero distribution of some shift polynomials
Laine, Ilpo, 2018, Journal of mathematical analysis and applications, 2019; 469, 2, 808-826. A1 Journal article (refereed), original research
Tropical variants of some complex analysis results
Laine Ilpo, Liu Kai, Tohge Kazuya, 2016, Annales academiae scientiarum fennicae-mathematica, 41, 923 - 946. A1 Journal article (refereed), original research
Completely regular growth solutions of second order complex linear differential equations
Heittokangas Janne, Laine Ilpo, Tohge Kazuya, Wen Zhi-Tao, 2015, Annales academiae scientiarum fennicae-mathematica, 40, 985-1003. A1 Journal article (refereed), original research
Tropical Value Distribution Theory and Ultra-Discrete Equations
Korhonen Risto, Laine Ilpo, Tohge Kazuya, 2015, World scientific. C1 Book
Value distribution theory for differences of meromorphic functions
Laine, Ilpo, 2013, K.S. Charak, R. Kumar, A.K. Sharma, Proceedings of 22nd Annual Conference of Jammu Mathematical Society, 66 - 93, Annual conference of jammu mathematical society. A4 Conference proceedings
Exponential polynomials as solutions of certain nonlinear difference equations
Wen Zhi Tao, Heittokangas Janne, Laine Ilpo, 2012, Acta mathematica sinica : english series, 28, 7, 1295-1306. A1 Journal article (refereed), original research
Tropical Nevanlinna theory and second main theorem
Laine I, Tohge K, 2011, Proceedings of the london mathematical society, 102, 5, 883 - 922. A1 Journal article (refereed), original research
Uniqueness of meromorphic functions sharing values with their shifts
Heittokangas J, Korhonen R, Laine I, Rieppo J, 2011, Complex variables and elliptic equations, 56, 81-92. A1 Journal article (refereed), original research
A note on value distribution of difference polynomials
Liu, K. and Laine, I., 2010, Bulletin of the australian mathematical society, 81, 353 - 360. A1 Journal article (refereed), original research
On analogies between nonlinear difference and differential equations
Yang, C.-C. and Laine, I., 2010, Proceedings of the japan academy series a: mathematical sciences, 86, 10 - 14. A1 Journal article (refereed), original research
Tropical versions of Clunie and Mohon'ko lemmas
Laine, I. and Yang, C.-C., 2010, Complex variables and elliptic equations, 55, 235 - 248. A1 Journal article (refereed), original research
Entire solutions of some non-linear differential equations
Laine, I. and Yang, C.-C., 2009, Bulletin de la societe des sciences et des lettres de lodz, 59, 2, 19 -23. A1 Journal article (refereed), original research
Growth of solutions of nonhomogeneous linear differential equations
Jun Wang and Ilpo Laine, 2009, Abstract and applied analysis, 2009, Article ID 363927, 11 s.. A1 Journal article (refereed), original research
On a class of prime entire functions
Kuldeep Singh Charak and Ilpo Laine, 2009, Acta mathematica sinica : english series, 25, 1647-1652. A1 Journal article (refereed), original research
Value sharing results for shifts of meromorphic functions, and sufficient conditions for periodicity
J. Heittokangas, R. Korhonen, I. Laine, J. Rieppo, J. Zhang, 2009, Journal of mathematical analysis and applications, 355, 352-363. A1 Journal article (refereed), original research
Complex differential equations
I. Laine, 2008, Handbook of Differential Equations: Ordinary Differential Equations, Vol. 4, 269-363. A3 Book section, Chapters in research books
Growth of solutions of second order differential equations
Jun Wang, Ilpo Laine, 2008, Journal of mathematical analysis and applications, 342, 39-51. A1 Journal article (refereed), original research
On topological behavior of solutions of some algebraic differential equations
G. Barsegian, I. Laine, D. T. Lê, 2008, Complex variables and elliptic equations, 53, 411-421. A1 Journal article (refereed), original research
The Bank-Laine conjecture - a survey
Ilpo Laine and Kazuya Tohge, 2008, Some Topics in Value Distribution and Differentiability in Complex and p-adic Analysis, 398-417. A3 Book section, Chapters in research books
Uniqueness of entire functions and their derivatives
Jun Wang, Ilpo Laine, 2008, Computational methods and function theory, 8, 2, 327-338. A1 Journal article (refereed), original research
Clunie theorems for difference and q-difference polynomials
Ilpo Laine, Chung-Chun Yang, 2007, Journal of the london mathematical society: second series, 76, 3, 556-566. A1 Journal article (refereed), original research
Value distribution of difference polynomials
Ilpo Laine, Chung-Chun Yang, 2007, Proceedings of the Japan Academy. Series A, Mathematical Sciences, 83, 8, 148-151. A1 Journal article (refereed), original research
Fourier Series Methods in Complex Analysis
Ilpo Laine, 2006, University of Joensuu. C2 Edited book, conference proceedings or special issue of a journal
Meromorphic functions in multiply connected domains
Andriy Kondratyuk, Ilpo Laine, 2006, Fourier Series Methods in Complex Analysis, 9-111. B3 Non-refereed conference proceedings
Order of growth of Painlevé transcendents
Aimo Hinkkanen, Ilpo Laine, 2006, Complex Analysis and Applications, 72-77. A3 Book section, Chapters in research books
Lauri Myrberg
Ilpo Laine, 2005, Suomalainen Tiedeakatemia. Vuosikirja 2004, 117-119. B2 Book section
Remarks on complex difference equations
Ilpo Laine, Jarkko Rieppo, Heli Silvennoinen, 2005, Computational methods and function theory, 5, 1, 77-88. A1 Journal article (refereed), original research
Solutions of f''+A(z)f=0 with prescribed sequences of zeros
J. Heittokangas, I. Laine, 2005, Acta Mathematica Universitatis Comenianae, 74, 2, 287-307. A1 Journal article (refereed), original research
Differential polynomials generated by linear differential equations
Ilpo Laine, Jarkko Rieppo, 2004, Complex Variables: Theory and Application, 49, 12, 897-911. A1 Journal article (refereed), original research
Finite order solutions of complex linear differential equations
Ilpo Laine, Ronghua Yang, 2004, Electronic journal of differential equations, 2004, 65, 1-8. A1 Journal article (refereed), original research
Growth results for Painlevé transcendents
Aimo Hinkkanen, Ilpo Laine, 2004, Mathematical proceedings of the Cambridge Philosophical Society, 137, 3, 645-655. A1 Journal article (refereed), original research
The meromorphic nature of the sixth Painlevé transcendents
Aimo Hinkkanen, Ilpo Laine, 2004, Journal d'analyse mathématique, 94, 319-342. A1 Journal article (refereed), original research
Value Distribution Theory and Related Topics
G. Barsegian, I. Laine, C. C. Yang (eds.), 2004, Kluwer Academic Publishers. C2 Edited book, conference proceedings or special issue of a journal
Complex differential and functional equations: proceedings of the Summer School held in Mekrijärvi, July 30 - August 3, 2000
Ilpo Laine (ed.), 2003, University of Joensuu. C2 Edited book, conference proceedings or special issue of a journal
Introduction to local theory of complex differential equations
Ilpo Laine, 2003, University of Joensuu, Department of Mathematics. Report Series.
Riccati differential equations with elliptic coefficients II
Katsuya Ishizaki, Ilpo Laine, Shun Shimomura, Katsuya Tohge, 2003, The Tohoku Mathematical Journal. Second Series, 55, 1, 99-108. A1 Journal article (refereed), original research
Meromorphic solutions of generalized Schröder equations
Gary G. Gundersen, Janne Heittokangas, Ilpo Laine, Jarkko Rieppo, Dequi Yang, 2002, Aequationes mathematicae, 63, 1-2, 110-135. A1 Journal article (refereed), original research
On a method of estimating derivatives in complex differential equations
Grigor A. Barsegian, Ilpo Laine, Chung-chun Yang, 2002, Journal of the Mathematical Society of Japan, 54, 923-935. A1 Journal article (refereed), original research
On meromorphic solutions of certain nonlinear differential equations
J. Heittokangas, R. Korhonen, I. Laine, 2002, Bulletin of the australian mathematical society, 66, 2, 331-343. A1 Journal article (refereed), original research
Painlevé differential equations in the complex plane
Valerii I. Gromak, Ilpo Laine, Shun Shimomura, 2002, Walter de Gruyter. C1 Book
Stability phenomenon for generalizations of algebraic differential equations
G. Barsegian, H. Begehr, I. Laine, 2002, Zeitschrift für Analysis und ihre Anwendungen, 21, 495-503. A1 Journal article (refereed), original research
Complex difference equations of Malmquist type
Janne Heittokangas, Risto Korhonen, Ilpo Laine, Jarkko Rieppo, Katsuya Tohge, 2001, Computational methods and function theory, 1, 1, 27-39. A1 Journal article (refereed), original research
Factorization of some entire functions
K. S. Charak, Ilpo Laine, 2001, Complex Variables: Theory and Application, 43, 3-4, 251-258. A1 Journal article (refereed), original research
Locations of values of meromorphic solutions of algebraic differential equations
G. A. Barsegian, I. Laine, C. C. Yang, 2001, Complex Variables: Theory and Application, 46, 4, 323-336. A1 Journal article (refereed), original research
Solutions of a modified fifth Painlevé equation are meromorphic
Aimo Hinkkanen, Ilpo Laine, 2001, Papers on analysis, 133-146. A3 Book section, Chapters in research books
Solutions of a modified third Painlevé equation are meromorphic
Aimo Hinkkanen, Ilpo Laine, 2001, Journal d'analyse mathématique, 85, 323-337. A1 Journal article (refereed), original research
Growth of solutions of second order linear differential equations
Ilpo Laine, Pengcheng Wu, 2000, Proceedings of the American Mathematical Society, 128, 9, 2693-2703. A1 Journal article (refereed), original research
Meromorphic solutions of some linear functional equations
Janne Heittokangas, Ilpo Laine, Jarkko Rieppo, Degui Yang, 2000, Aequationes mathematicae, 60, 1-2, 148-166. A1 Journal article (refereed), original research
Riccati differential equations with elliptic coefficients
Katsuya Ishizaki, Ilpo Laine, Shun Shimomura, Katsuya Tohge, 2000, Results in mathematics, 38, 1-2, 58-71. A1 Journal article (refereed), original research
Stability phenomenon and problems for complex differential equations with relations to shared values
G. A. Barsegian, I. Laine, C. C. Yang, 2000, Matematichni studii, 13, 2, 224-228. A1 Journal article (refereed), original research

University of Eastern Finland Joensuu, Kuopio © University of Eastern Finland

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Ilpo Laine

Research groups

Keywords

Zero distribution of delay-differential polynomials

Growth of solutions of some second order differential equations with entire coefficients

A Note on Some Riccati Differential Equations

Notes on Fermat-Type Difference Equations

Value Sharing and Stirling Numbers

Growth of solutions to higher order differential equations with Mittag-Leffler coefficients

New Findings on the Periodicity of Entire Functions and Their Differential Polynomials

Remarks on Meromorphic Solutions of Some Delay-Differential Equations

Complex Delay-Differential Equations

Complex oscillation of solutions of a third order ODE

Exponential polynomials in the oscillation theory

Zero distribution of some delay-differential polynomials

Stephan Ruscheweyh 1944-2019

Tropical meromorphic functionsin a finite interval

Zero distribution of some shift polynomials

Tropical variants of some complex analysis results

Completely regular growth solutions of second order complex linear differential equations

Tropical Value Distribution Theory and Ultra-Discrete Equations

Value distribution theory for differences of meromorphic functions

Exponential polynomials as solutions of certain nonlinear difference equations

Tropical Nevanlinna theory and second main theorem

Uniqueness of meromorphic functions sharing values with their shifts

A note on value distribution of difference polynomials

On analogies between nonlinear difference and differential equations

Tropical versions of Clunie and Mohon'ko lemmas

Entire solutions of some non-linear differential equations

Growth of solutions of nonhomogeneous linear differential equations

On a class of prime entire functions

Value sharing results for shifts of meromorphic functions, and sufficient conditions for periodicity

Complex differential equations

Growth of solutions of second order differential equations

On topological behavior of solutions of some algebraic differential equations

The Bank-Laine conjecture - a survey

Uniqueness of entire functions and their derivatives

Clunie theorems for difference and q-difference polynomials

Value distribution of difference polynomials

Fourier Series Methods in Complex Analysis

Meromorphic functions in multiply connected domains

Order of growth of Painlevé transcendents

Lauri Myrberg

Remarks on complex difference equations

Solutions of f''+A(z)f=0 with prescribed sequences of zeros

Differential polynomials generated by linear differential equations

Finite order solutions of complex linear differential equations

Growth results for Painlevé transcendents

The meromorphic nature of the sixth Painlevé transcendents

Value Distribution Theory and Related Topics

Complex differential and functional equations: proceedings of the Summer School held in Mekrijärvi, July 30 - August 3, 2000

Introduction to local theory of complex differential equations

Riccati differential equations with elliptic coefficients II

Meromorphic solutions of generalized Schröder equations

On a method of estimating derivatives in complex differential equations

On meromorphic solutions of certain nonlinear differential equations

Painlevé differential equations in the complex plane

Stability phenomenon for generalizations of algebraic differential equations

Complex difference equations of Malmquist type

Factorization of some entire functions

Locations of values of meromorphic solutions of algebraic differential equations

Solutions of a modified fifth Painlevé equation are meromorphic

Solutions of a modified third Painlevé equation are meromorphic

Growth of solutions of second order linear differential equations

Meromorphic solutions of some linear functional equations

Riccati differential equations with elliptic coefficients

Stability phenomenon and problems for complex differential equations with relations to shared values