RISTO KORHONEN

Yhteystiedot

Tutkimusryhmät - UEF

• 
  Kompleksianalyysi

Julkaisut

• Liu, Xinling; Korhonen, Risto; Liu, Kai. 2021. Variations on a Conjecture of C. C. Yang Concerning Periodicity Computational methods and function theory [Epub ahead of print 16 Feb 2021]: 1-7. 2021
• lshizaki, Katsuya; Korhonen, Risto; Li, Nan; Tohge, Kazuya. 2020. A Stothers-Mason theorem with a difference radical Mathematische zeitschrift 2021; 298 1-2: 671-696. 2020
• Zheng Jianhua; Korhonen, Risto. 2020. Studies of Differences from the point of view of Nevanlinna Theory Transactions of the american mathematical society 373 6: 4285-4318. 2020
• Cao, T-B; Korhonen, R J. 2020. Value distribution of q-differences of meromorphic functions in several complex variables Analysis mathematica 46: 699-736. 2020
• Liu, Xinling; Korhonen, Risto. 2020. On the periodicity of transcendental entire functions Bulletin of the australian mathematical society 101 3: 453-465. 2020
• Korhonen, R; Tohge, K; Zhang, Y; Zheng, J. 2020. A lemma on the difference quotients Annales academiae scientiarum fennicae-mathematica 45 1: 479-491. 2020
• Halburd, Rod; Korhonen, Risto. 2019. Three Approaches to Detecting Discrete Integrability Computational methods and function theory 19 2: 299-313. 2019
• Korhonen, Risto; Wang, Jun; Ye, Zhuan. 2019. Lower order and Baker wandering domains of solutions to differential equations with coefficients of exponential growth Journal of mathematical analysis and applications 479 2: 1475-1489. 2019
• Korhonen, Risto; Zhang, Yueyang. 2019. Existence of Meromorphic Solutions of First-Order Difference Equations Constructive approximation 2020; 51: 465-504. 2019
• Gao, Z; Korhonen, R; Zhang, J; Zhang, Y. 2018. Uniqueness of Meromorphic Functions Sharing Values with Their nth Order Exact Differences Analysis mathematica 2019; 45 2: 321-334. 2018
• Halburd Rod, Korhonen Risto. 2017. Growth of meromorphic solutions of delay differential equations. Proceedings of the American Mathematical Society 145 6: 2513-2526. 2017
• Ishizaki Katsuya, Korhonen Risto. 2017. Meromorphic Solutions of Algebraic Difference Equations. Constructive Approximation Published online 26 October 2017: 1-14. 2017
• Li Nan, Korhonen Risto, Yang Lianzhong. 2017. Nevanlinna uniqueness of linear difference polynomials. Rocky Mountain Journal of Mathematics 47 3: 905-926. 2017
• Korhonen Risto. 2016. Differentiaaliviive Painlevé yhtälöt. Teoksessa: Olli Martio (toim.) Suomalaisen tiedeakatemian vuosikirja 2015. Suomalainen tiedeakatemia. Finnish Academy of Science and Letters 2015. s. 73-76. 2016
• Korhonen Risto, Tohge Kazuya. 2016. Second main theorem in the tropical projective space. Advances in Mathematics 298: 693-725. 2016
• Cao Tingbin, Korhonen Risto. 2016. A new version of the second main theorem for meromorphic mappings intersecting hyperplanes in several complex variables. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 444 2: 1114-1132. 2016
• Korhonen Risto, Li Nan, Tohge Kazuya. 2016. Difference analogue of cartan's second main theorem for slowly moving periodic targets. Annales Academiae Scientiarum Fennicae Mathematica 41: 523-549. 2016
• Charak KS, Korhonen Risto J, Kumar Gaurav. 2015. A note on partial sharing of values of meromorphic functions with their shifts. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 435 2: 1241-1248. 2015
• Korhonen Risto, Wen Zhi-Tao. 2015. Existence of zero-order meromorphic solutions in detecting q-difference Painlevé equations. Transactions of the American Mathematical Society [Epub ahead of print 28 Oct 2015]. 2015
• Tropical Value Distribution Theory and Ultra-Discrete Equations. Korhonen Risto, Laine Ilpo, Tohge Kazuya. 2015 2015
• Halburd R, Korhonen R, Tohge K. 2014. Holomorphic curves with shift-invariant hyperplane preimages. Transactions of the American Mathematical Society 366 8: 4267-4298. 2014
• Proceedings of the Workshop on Complex Analysis and its Applications to Differential and Functional Equations. Janne Gröhn, Janne Heittokangas, Risto Korhonen, Jouni Rättyä. 2014 2014
• Halburd R, Korhonen R. 2013. Value Distribution and Linear Operators. Proceedings of the Edinburgh Mathematical Society First View: 1-12. 2013
• Risto Korhonen. 2013. Ilpo Laineen syntymäpäiväkonferenssi Joensuussa. ARKHIMEDES 5-6: 4-5. 2013
• Korhonen Risto. 2012. A Difference Picard Theorem for Meromorphic Functions of Several Variables Computational Methods and Function Theory 12: 343-361. 2012
• Korhonen Risto. 2011. A new Clunie type theorem for difference polynomials Journal of Difference Equations and Applications 17: 387-400. 2011
• Heittokangas J, Korhonen R, Laine I, Rieppo J. 2011. Uniqueness of meromorphic functions sharing values with their shifts COMPLEX VARIABLES AND ELLIPTIC EQUATIONS 56: 81-92. 2011
• Korhonen Risto, Ronkainen Onni. 2011. Order reduction method for linear difference equations. Proceedings of the American Mathematical Society 139: 3219-3229. 2011
• Jilong Zhang ja Risto Korhonen. 2010. On the Nevanlinna characteristic of f(qz) and its applications. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 369: 537-544. 2010
• Rodney Halburd ja Risto Korhonen. 2010. Non-decreasing functions, exceptional sets and generalised Borel lemmas. Journal of the Australian Mathematical Society 88: 353-361. 2010
• Risto Korhonen. 2009. Approximation of real numbers with rational number sequences. Proceedings of the American Mathematical Society 137 1: 107-113. 2009
• Janne Heittokangas, Risto Korhonen, Jouni Rättyä. 2008. Linear differential equations with coefficients in weighted Bergman and Hardy spaces Transactions of the American Mathematical Society 360 2: 1035-1055. 2008
• D. C. Barnett, R. G. Halburd, W. Morgan, R. J. Korhonen. 2007. Nevanlinna theory for the q-difference operator and meromorphic solutions of q-difference equations. Proceedings of the Royal Society of Edinburgh. Section A, Mathematics 137 3: 457-474. 2007
• J. Heittokangas, R. Korhonen, J. Rättyä. 2007. Linear differential equations with solutions in Dirichlet type subspace of the Hardy space. Nagoya Mathematical Journal 187: 91-113. 2007
• R. G. Halburd, R. J. Korhonen. 2007. Finite-order meromorphic solutions and the discrete Painlevé equations. Proceedings of the London Mathematical Society. Third Series 94 2: 443-474. 2007
• R. G. Halburd, R. J. Korhonen. 2007. Meromorphic solutions of difference equations, integrability and the discrete Painlevé equations. Journal of Physics. A, Mathematical and Theoretical 40 6: R1-R38. 2007
• Risto Korhonen, Jouni Rättyä. 2007. Linear differential equations in the unit disc with analytic solutions of finite order. Proceedings of the American Mathematical Society 135 5: 1355-1363. 2007
• R. G. Halburd, R. J. Korhonen. 2006. Nevanlinna theory for the difference operator 31 2: 463-478. 2006
• R. G. Halburd, R. J. Korhonen. 2006. Difference analogue of the lemma on the logarithmic derivative with applications to difference equations. Journal of Mathematical Analysis and Applications 314 2: 477-487. 2006
• R. G. Halburd, R. J. Korhonen. 2006. Existence of finite order meromorphic solutions as a detector of integrability in difference equations. Physica D 218 2: 191-203. 2006
• Janne Heittokangas, Risto Korhonen, Jouni Rättyä. 2006. Fast growing solutions of linear differential equations in the unit disc. Results in Mathematics 49 3/4: 265-278. 2006
• Risto Korhonen, Jouni Rättyä. 2005. Intersections and unions of weighted Bergman spaces. Computational Methods and Function Theory 5 2: 459-469. 2005
• J. Heittokangas, R. Korhonen, J. Rättyä. 2004. Generalized logarithmic derivative estimates of Gol'dberg-Grinshtein type. Bulletin of the London Mathematical Society 36 1: 105-114. 2004
• J. Heittokangas, R. Korhonen, J. Rättyä. 2004. Growth estimates for solutions of linear complex differential equations. Annales Academiae Scientiarum Fennicae. Mathematica 29 1: 233-246. 2004
• Risto Korhonen. 2004. Nevanlinna theory in an annulus. Teoksessa: (toim.), Value distribution theory and its related topics.Kluwer Academic Publishers. Advances in Complex Analysis and Its Applications. ss. 167-179. 2004
• Risto Korhonen. 2004. Sharp forms of Nevanlinna error terms in differential equations, Symposium on Complex Differential and Functional Equations. University of Joensuu, Department of Mathematics. Report Series. 117-133. 2004
• J. Heittokangas, R. Korhonen, I. Laine. 2002. On meromorphic solutions of certain nonlinear differential equations. Bulletin of the Australian Mathematical Society 66 2: 331-343. 2002
• Risto Korhonen. 2002. Meromorphic solutions of differential and difference equations with deficiencies. Suomalainen tiedeakatemia. Annales Academiae Scientiarum Fennicae. Mathematica. Dissertationes. 2002
• Djamel Benbourenane, Risto Korhonen. 2001. On the growth of the logarithmic derivative. Computational Methods and Function Theory 1 2: 301-310. 2001
• Janne Heittokangas, Risto Korhonen, Ilpo Laine, Jarkko Rieppo, Katsuya Tohge. 2001. Complex difference equations of Malmquist type. Computational Methods and Function Theory 1 1: 27-39. 2001