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Ilpo Laine

Ilpo Laine

Professor, Emeritus

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

ilpo.laine@uef.fi

Information Publications

Professor emeritus, mathematics.

Keywords

complex analysis Nevanlinna theory

Publications

62/62 items

Notes on Fermat-Type Difference Equations
Laine, Ilpo; Latreuch, Zinelaabidine. 2024. Bulletin of the australian mathematical society. [Epub ahead of print 03 June 2024]: 1-12
Value Sharing and Stirling Numbers
Hinkkanen, Aimo; Laine, Ilpo. 2024. Computational methods and function theory. [Epub ahead of print 22 June 2024]: 1-30
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. 2021; 47: 853–865
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: . 136
Remarks on Meromorphic Solutions of Some Delay-Differential Equations
Laine, I; Latreuch, Z. 2022. Analysis mathematica. 48: 1081-1104
Complex Delay-Differential Equations
Liu, Kai; Laine, Ilpo; Yang, Lianzhong. 2021. De Gruyter Studies in Mathematics. . De Gruyter
Complex oscillation of solutions of a third order ODE
Hinkkanen, A; Ishizaki, K; Laine, I; Li, KY. 2020. Annales academiae scientiarum fennicae-mathematica. 45: 451-466
Exponential polynomials in the oscillation theory
Heittokangas, Janne; Ishizaki, Katsuya; Laine, Ilpo; Tohge, Kazuya. 2020. Journal of differential equations. 272: 911-937
Zero distribution of some delay-differential polynomials
Laine, Ilpo; Latreuch, Zinelaabidine. 2020. Bulletin of the korean mathematical society. 57: 1541-1565
Stephan Ruscheweyh 1944-2019
Barnard, Roger; Bergweiler, Walter; Laine, Ilpo. 2019. Computational methods and function theory. 19: 541-544
Tropical meromorphic functionsin a finite interval
Laine, Ilpo; Tohge, Kazuya. 2019. Annales academiae scientiarum fennicae-mathematica. 44: 341-361
Zero distribution of some shift polynomials
Laine, Ilpo. 2018. Journal of mathematical analysis and applications. 2019; 469: 808-826
Tropical variants of some complex analysis results
Laine Ilpo, Liu Kai, Tohge Kazuya. 2016. Annales academiae scientiarum fennicae-mathematica. 41: 923 - 946
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
Tropical Value Distribution Theory and Ultra-Discrete Equations
Korhonen Risto, Laine Ilpo, Tohge Kazuya. 2015. . . World scientific
Value distribution theory for differences of meromorphic functions
Laine, Ilpo. Teoksessa: K.S. Charak, R. Kumar, A.K. Sharma(toim.) , 2013. Proceedings of 22nd Annual Conference of Jammu Mathematical Society. s. 66 - 93.
Exponential polynomials as solutions of certain nonlinear difference equations
Wen Zhi Tao, Heittokangas Janne, Laine Ilpo. 2012. Acta mathematica sinica : english series. 28: 1295-1306
Tropical Nevanlinna theory and second main theorem
Laine I, Tohge K. 2011. Proceedings of the london mathematical society. 102: 883 - 922
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
A note on value distribution of difference polynomials
Liu, K. and Laine, I.. 2010. Bulletin of the australian mathematical society. 81: 353 - 360
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
Tropical versions of Clunie and Mohon'ko lemmas
Laine, I. and Yang, C.-C.. 2010. Complex variables and elliptic equations. 55: 235 - 248
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: 19 -23
Growth of solutions of nonhomogeneous linear differential equations
Jun Wang and Ilpo Laine. 2009. Abstract and applied analysis. 2009: 11 s.
On a class of prime entire functions
Kuldeep Singh Charak and Ilpo Laine. 2009. Acta mathematica sinica : english series. 25: 1647-1652
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
Complex differential equations
I. Laine. Teoksessa: (toim.) , 2008. Handbook of Differential Equations: Ordinary Differential Equations, Vol. 4. s. 269-363. Elsevier
Growth of solutions of second order differential equations
Jun Wang, Ilpo Laine. 2008. Journal of mathematical analysis and applications. 342: 39-51
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
The Bank-Laine conjecture - a survey
Ilpo Laine and Kazuya Tohge. Teoksessa: (toim.) , 2008. Some Topics in Value Distribution and Differentiability in Complex and p-adic Analysis. s. 398-417. Science Press
Uniqueness of entire functions and their derivatives
Jun Wang, Ilpo Laine. 2008. Computational methods and function theory. 8: 327-338
Clunie theorems for difference and q-difference polynomials
Ilpo Laine, Chung-Chun Yang. 2007. Journal of the london mathematical society: second series. 76: 556-566
Value distribution of difference polynomials
Ilpo Laine, Chung-Chun Yang. 2007. Proceedings of the Japan Academy. Series A, Mathematical Sciences. 83: 148-151
Fourier Series Methods in Complex Analysis
Ilpo Laine. 2006. University of Joensuu, Department of Mathematics. Report Series. . University of Joensuu
Meromorphic functions in multiply connected domains
Andriy Kondratyuk, Ilpo Laine. Teoksessa: (toim.) , 2006. Fourier Series Methods in Complex Analysis. s. 9-111. University of Joensuu
Order of growth of Painlevé transcendents
Aimo Hinkkanen, Ilpo Laine. Teoksessa: (toim.) , 2006. Complex Analysis and Applications. s. 72-77. World Scientific
Lauri Myrberg
Ilpo Laine. Teoksessa: (toim.) , 2005. Suomalainen Tiedeakatemia. Vuosikirja 2004. s. 117-119.
Remarks on complex difference equations
Ilpo Laine, Jarkko Rieppo, Heli Silvennoinen. 2005. Computational methods and function theory. 5: 77-88
Solutions of f''+A(z)f=0 with prescribed sequences of zeros
J. Heittokangas, I. Laine. 2005. Acta Mathematica Universitatis Comenianae. 74: 287-307
Differential polynomials generated by linear differential equations
Ilpo Laine, Jarkko Rieppo. 2004. Complex Variables: Theory and Application. 49: 897-911
Finite order solutions of complex linear differential equations
Ilpo Laine, Ronghua Yang. 2004. Electronic journal of differential equations. 2004: 1-8
Growth results for Painlevé transcendents
Aimo Hinkkanen, Ilpo Laine. 2004. Mathematical proceedings of the Cambridge Philosophical Society. 137: 645-655
The meromorphic nature of the sixth Painlevé transcendents
Aimo Hinkkanen, Ilpo Laine. 2004. Journal d'analyse mathématique. 94: 319-342
Value Distribution Theory and Related Topics
G. Barsegian, I. Laine, C. C. Yang (eds.). 2004. Advances in Complex Analysis and Its Applications. . Kluwer Academic Publishers
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, Department of Mathematics. Report Series. . University of Joensuu
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: 99-108
Meromorphic solutions of generalized Schröder equations
Gary G. Gundersen, Janne Heittokangas, Ilpo Laine, Jarkko Rieppo, Dequi Yang. 2002. Aequationes mathematicae. 63: 110-135
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
On meromorphic solutions of certain nonlinear differential equations
J. Heittokangas, R. Korhonen, I. Laine. 2002. Bulletin of the australian mathematical society. 66: 331-343
Painlevé differential equations in the complex plane
Valerii I. Gromak, Ilpo Laine, Shun Shimomura. 2002. De Gruyter studies in mathematics. . Walter de Gruyter
Stability phenomenon for generalizations of algebraic differential equations
G. Barsegian, H. Begehr, I. Laine. 2002. Zeitschrift für Analysis und ihre Anwendungen. 21: 495-503
Complex difference equations of Malmquist type
Janne Heittokangas, Risto Korhonen, Ilpo Laine, Jarkko Rieppo, Katsuya Tohge. 2001. Computational methods and function theory. 1: 27-39
Factorization of some entire functions
K. S. Charak, Ilpo Laine. 2001. Complex Variables: Theory and Application. 43: 251-258
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: 323-336
Solutions of a modified fifth Painlevé equation are meromorphic
Aimo Hinkkanen, Ilpo Laine. Teoksessa: (toim.) , 2001. Papers on analysis. s. 133-146.
Solutions of a modified third Painlevé equation are meromorphic
Aimo Hinkkanen, Ilpo Laine. 2001. Journal d'analyse mathématique. 85: 323-337
Growth of solutions of second order linear differential equations
Ilpo Laine, Pengcheng Wu. 2000. Proceedings of the American Mathematical Society. 128: 2693-2703
Meromorphic solutions of some linear functional equations
Janne Heittokangas, Ilpo Laine, Jarkko Rieppo, Degui Yang. 2000. Aequationes mathematicae. 60: 148-166
Riccati differential equations with elliptic coefficients
Katsuya Ishizaki, Ilpo Laine, Shun Shimomura, Katsuya Tohge. 2000. Results in mathematics. 38: 58-71
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: 224-228
Nevanlinna theory and complex differential equations
Ilpo Laine. 1993. . 1. De Gruyter

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

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Ilpo Laine

Keywords

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

Nevanlinna theory and complex differential equations