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Risto Korhonen

Risto Korhonen

Deputy Head of Department

Professor

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

risto.korhonen@uef.fi | +358 50 442 2684

Information Publications

Research fields: Nevanlinna theory, difference equations, discrete integrable systems

Research groups

Complex Analysis 30.08.2018 -

Publications

56/56 items

A Malmquist-Steinmetz Theorem for Difference Equations
Zhang, Yueyang; Korhonen, Risto. 2023. Constructive approximation. [Epub ahead of print 3 May 2023]: 1-55
Meromorphic solutions of higher order delay differential equations
Cao, Tingbin; Chen, Yu; Korhonen, Risto. 2023. Bulletin des sciences mathematiques. 182:
On meromorphic solutions of Malmquist type difference equations
Korhonen, Risto; Zhang, Yueyang. 2023. Annales Fennici mathematici. 48: 493-514
Quasiperiodicity of transcendental meromorphic functions
Liu, Xinling; Liu, Kai; Korhonen, Risto; Filipuk, Galina. 2023. Acta mathematica scientia. 44: 161-172
Inverse problems on the parity of meromorphic functions
Liu, Xinling; Liu, Kai; Korhonen, Risto. 2022. Journal of mathematical analysis and applications. 512:
Unified Value Sharing of Meromorphic Functions
Charak, Kuldeep Singh; Korhonen, Risto; Kumar, Gaurav. Teoksessa: Filipuk, Galina; Lastra, Alberto; Michalik, Sławomir(toim.) , 2022. Formal and Analytic Solutions of Differential Equations. s. 205-222. World scientific
Variations on a Conjecture of C. C. Yang Concerning Periodicity
Liu, Xinling; Korhonen, Risto; Liu, Kai. 2021. Computational methods and function theory. [Epub ahead of print 16 Feb 2021]: 1-7
A Stothers-Mason theorem with a difference radical
lshizaki, Katsuya; Korhonen, Risto; Li, Nan; Tohge, Kazuya. 2020. Mathematische zeitschrift. 2021; 298: 671-696
A lemma on the difference quotients
Korhonen, R; Tohge, K; Zhang, Y; Zheng, J. 2020. Annales academiae scientiarum fennicae-mathematica. 45: 479-491
On the periodicity of transcendental entire functions
Liu, Xinling; Korhonen, Risto. 2020. Bulletin of the australian mathematical society. 101: 453-465
Studies of Differences from the point of view of Nevanlinna Theory
Zheng Jianhua; Korhonen, Risto. 2020. Transactions of the american mathematical society. 373: 4285-4318
Value distribution of q-differences of meromorphic functions in several complex variables
Cao, T-B; Korhonen, R J. 2020. Analysis mathematica. 46: 699-736
Existence of Meromorphic Solutions of First-Order Difference Equations
Korhonen, Risto; Zhang, Yueyang. 2019. Constructive approximation. 2020; 51: 465-504
Lower order and Baker wandering domains of solutions to differential equations with coefficients of exponential growth
Korhonen, Risto; Wang, Jun; Ye, Zhuan. 2019. Journal of mathematical analysis and applications. 479: 1475-1489
Three Approaches to Detecting Discrete Integrability
Halburd, Rod; Korhonen, Risto. 2019. Computational methods and function theory. 19: 299-313
Uniqueness of Meromorphic Functions Sharing Values with Their nth Order Exact Differences
Gao, Z; Korhonen, R; Zhang, J; Zhang, Y. 2018. Analysis mathematica. 2019; 45: 321-334
Growth of meromorphic solutions of delay differential equations
Halburd Rod, Korhonen Risto. 2017. Proceedings of the American Mathematical Society. 145: 2513-2526
Meromorphic Solutions of Algebraic Difference Equations
Ishizaki Katsuya, Korhonen Risto. 2017. Constructive approximation. Published online 26 October 2017: 1-14
Nevanlinna uniqueness of linear difference polynomials
Li Nan, Korhonen Risto, Yang Lianzhong. 2017. Rocky mountain journal of mathematics. 47: 905-926
A new version of the second main theorem for meromorphic mappings intersecting hyperplanes in several complex variables
Cao Tingbin, Korhonen Risto. 2016. Journal of mathematical analysis and applications. 444: 1114-1132
Difference analogue of cartan's second main theorem for slowly moving periodic targets
Korhonen Risto, Li Nan, Tohge Kazuya. 2016. Annales academiae scientiarum fennicae-mathematica. 41: 523-549
Differentiaaliviive Painlevé yhtälöt
Korhonen Risto. Teoksessa: Olli Martio(toim.) , 2016. Suomalaisen tiedeakatemian vuosikirja 2015. s. 73-76. Suomalainen tiedeakatemia
Second main theorem in the tropical projective space
Korhonen Risto, Tohge Kazuya. 2016. Advances in mathematics. 298: 693-725
A note on partial sharing of values of meromorphic functions with their shifts
Charak KS, Korhonen Risto J, Kumar Gaurav. 2015. Journal of mathematical analysis and applications. 435: 1241-1248
Existence of zero-order meromorphic solutions in detecting q-difference Painlevé equations
Korhonen Risto, Wen Zhi-Tao. 2015. Transactions of the american mathematical society. [Epub ahead of print 28 Oct 2015]:
Tropical Value Distribution Theory and Ultra-Discrete Equations
Korhonen Risto, Laine Ilpo, Tohge Kazuya. 2015. . . World scientific
Holomorphic curves with shift-invariant hyperplane preimages
Halburd R, Korhonen R, Tohge K. 2014. Transactions of the american mathematical society. 366: 4267-4298
Proceedings of the Workshop on Complex Analysis and its Applications to Differential and Functional Equations
Janne Gröhn, Janne Heittokangas, Risto Korhonen, Jouni Rättyä. 2014. . . University of Eastern Finland
Ilpo Laineen syntymäpäiväkonferenssi Joensuussa
Risto Korhonen. 2013. Arkhimedes. 5-6: 4-5
Value Distribution and Linear Operators
Halburd R, Korhonen R. 2013. Proceedings of the Edinburgh Mathematical Society. First View: 1-12
A Difference Picard Theorem for Meromorphic Functions of Several Variables
Korhonen Risto. 2012. Computational methods and function theory. 12: 343-361
A new Clunie type theorem for difference polynomials
Korhonen Risto. 2011. Journal of difference equations and applications. 17: 387-400
Order reduction method for linear difference equations
Korhonen Risto, Ronkainen Onni. 2011. Proceedings of the American Mathematical Society. 139: 3219-3229
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
Non-decreasing functions, exceptional sets and generalised Borel lemmas
Rodney Halburd ja Risto Korhonen. 2010. Journal of the australian mathematical society. 88: 353-361
On the Nevanlinna characteristic of f(qz) and its applications
Jilong Zhang ja Risto Korhonen. 2010. Journal of mathematical analysis and applications. 369: 537-544
Approximation of real numbers with rational number sequences
Risto Korhonen. 2009. Proceedings of the American Mathematical Society. 137: 107-113
Linear differential equations with coefficients in weighted Bergman and Hardy spaces
Janne Heittokangas, Risto Korhonen, Jouni Rättyä. 2008. Transactions of the american mathematical society. 360: 1035-1055
Finite-order meromorphic solutions and the discrete Painlevé equations
R. G. Halburd, R. J. Korhonen. 2007. Proceedings of the London Mathematical Society. Third Series. 94: 443-474
Linear differential equations in the unit disc with analytic solutions of finite order
Risto Korhonen, Jouni Rättyä. 2007. Proceedings of the American Mathematical Society. 135: 1355-1363
Linear differential equations with solutions in Dirichlet type subspace of the Hardy space
J. Heittokangas, R. Korhonen, J. Rättyä. 2007. Nagoya Mathematical Journal. 187: 91-113
Meromorphic solutions of difference equations, integrability and the discrete Painlevé equations
R. G. Halburd, R. J. Korhonen. 2007. Journal of Physics. A, Mathematical and Theoretical. 40: R1-R38
Nevanlinna theory for the q-difference operator and meromorphic solutions of q-difference equations
D. C. Barnett, R. G. Halburd, W. Morgan, R. J. Korhonen. 2007. Proceedings of the Royal Society of Edinburgh. Section A, Mathematics. 137: 457-474
Difference analogue of the lemma on the logarithmic derivative with applications to difference equations
R. G. Halburd, R. J. Korhonen. 2006. Journal of mathematical analysis and applications. 314: 477-487
Existence of finite order meromorphic solutions as a detector of integrability in difference equations
R. G. Halburd, R. J. Korhonen. 2006. Physica D. 218: 191-203
Fast growing solutions of linear differential equations in the unit disc
Janne Heittokangas, Risto Korhonen, Jouni Rättyä. 2006. Results in mathematics. 49: 265-278
Nevanlinna theory for the difference operator
R. G. Halburd, R. J. Korhonen. 2006. . 31: 463-478
Intersections and unions of weighted Bergman spaces
Risto Korhonen, Jouni Rättyä. 2005. Computational methods and function theory. 5: 459-469
Generalized logarithmic derivative estimates of Gol'dberg-Grinshtein type
J. Heittokangas, R. Korhonen, J. Rättyä. 2004. Bulletin of the london mathematical society. 36: 105-114
Growth estimates for solutions of linear complex differential equations
J. Heittokangas, R. Korhonen, J. Rättyä. 2004. Annales academiae scientiarum fennicae-mathematica. 29: 233-246
Nevanlinna theory in an annulus
Risto Korhonen. Teoksessa: (toim.) , 2004. Value distribution theory and its related topics. s. 167-179. Kluwer Academic Publishers
Sharp forms of Nevanlinna error terms in differential equations
Risto Korhonen. Teoksessa: (toim.) , 2004. Symposium on Complex Differential and Functional Equations. s. 117-133.
Meromorphic solutions of differential and difference equations with deficiencies
Risto Korhonen. 2002. Annales Academiae Scientiarum Fennicae. Mathematica. Dissertationes
On meromorphic solutions of certain nonlinear differential equations
J. Heittokangas, R. Korhonen, I. Laine. 2002. Bulletin of the australian mathematical society. 66: 331-343
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
On the growth of the logarithmic derivative
Djamel Benbourenane, Risto Korhonen. 2001. Computational methods and function theory. 1: 301-310

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

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Risto Korhonen

Research groups

A Malmquist-Steinmetz Theorem for Difference Equations

Meromorphic solutions of higher order delay differential equations

On meromorphic solutions of Malmquist type difference equations

Quasiperiodicity of transcendental meromorphic functions

Inverse problems on the parity of meromorphic functions

Unified Value Sharing of Meromorphic Functions

Variations on a Conjecture of C. C. Yang Concerning Periodicity

A Stothers-Mason theorem with a difference radical

A lemma on the difference quotients

On the periodicity of transcendental entire functions

Studies of Differences from the point of view of Nevanlinna Theory

Value distribution of q-differences of meromorphic functions in several complex variables

Existence of Meromorphic Solutions of First-Order Difference Equations

Lower order and Baker wandering domains of solutions to differential equations with coefficients of exponential growth

Three Approaches to Detecting Discrete Integrability

Uniqueness of Meromorphic Functions Sharing Values with Their nth Order Exact Differences

Growth of meromorphic solutions of delay differential equations

Meromorphic Solutions of Algebraic Difference Equations

Nevanlinna uniqueness of linear difference polynomials

A new version of the second main theorem for meromorphic mappings intersecting hyperplanes in several complex variables

Difference analogue of cartan's second main theorem for slowly moving periodic targets

Differentiaaliviive Painlevé yhtälöt

Second main theorem in the tropical projective space

A note on partial sharing of values of meromorphic functions with their shifts

Existence of zero-order meromorphic solutions in detecting q-difference Painlevé equations

Tropical Value Distribution Theory and Ultra-Discrete Equations

Holomorphic curves with shift-invariant hyperplane preimages

Proceedings of the Workshop on Complex Analysis and its Applications to Differential and Functional Equations

Ilpo Laineen syntymäpäiväkonferenssi Joensuussa

Value Distribution and Linear Operators

A Difference Picard Theorem for Meromorphic Functions of Several Variables

A new Clunie type theorem for difference polynomials

Order reduction method for linear difference equations

Uniqueness of meromorphic functions sharing values with their shifts

Non-decreasing functions, exceptional sets and generalised Borel lemmas

On the Nevanlinna characteristic of f(qz) and its applications

Approximation of real numbers with rational number sequences

Linear differential equations with coefficients in weighted Bergman and Hardy spaces

Finite-order meromorphic solutions and the discrete Painlevé equations

Linear differential equations in the unit disc with analytic solutions of finite order

Linear differential equations with solutions in Dirichlet type subspace of the Hardy space

Meromorphic solutions of difference equations, integrability and the discrete Painlevé equations

Nevanlinna theory for the q-difference operator and meromorphic solutions of q-difference equations

Difference analogue of the lemma on the logarithmic derivative with applications to difference equations

Existence of finite order meromorphic solutions as a detector of integrability in difference equations

Fast growing solutions of linear differential equations in the unit disc

Nevanlinna theory for the difference operator

Intersections and unions of weighted Bergman spaces

Generalized logarithmic derivative estimates of Gol'dberg-Grinshtein type

Growth estimates for solutions of linear complex differential equations

Nevanlinna theory in an annulus

Sharp forms of Nevanlinna error terms in differential equations

Meromorphic solutions of differential and difference equations with deficiencies

On meromorphic solutions of certain nonlinear differential equations

Complex difference equations of Malmquist type

On the growth of the logarithmic derivative