Risto Korhonen

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

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

Tarkenna hakuasi

Tutkimusryhmät

Zero order meromorphic solutions of q-difference equations of Malmquist type

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

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

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