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## Heittokangas, Janne

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 Author ID: heittokangas.janne Published as: Heittokangas, J.; Heittokangas, Janne
 Documents Indexed: 45 Publications since 2000, including 4 Books
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#### Co-Authors

 7 single-authored 14 Rättyä, Jouni 12 Korhonen, Risto 11 Laine, Ilpo 8 Wen, Zhitao 6 Gröhn, Janne 6 Tohge, Kazuya 5 Rieppo, Jarkko 4 Gundersen, Gary G. 3 Chyzhykov, Igor Elbertovych 3 Ishizaki, Katsuya 2 Chuaqui, Martin 2 Long, Jianren 1 Aulaskari, Rauno 1 Fenton, Peter C. 1 Latvala, Visa 1 Qiu, Ke’e 1 Reijonen, Atte 1 Rossi, John F. 1 Taskinen, Jari 1 Wu, Xiubi 1 Yang, Degui 1 Yang, Dequi 1 Ye, Zhuan 1 Zhang, Jilong
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#### Serials

 4 Journal of Mathematical Analysis and Applications 4 Annales Academiae Scientiarum Fennicae. Mathematica 4 Computational Methods and Function Theory 2 Journal of Differential Equations 2 Transactions of the American Mathematical Society 2 Constructive Approximation 2 Aequationes Mathematicae 2 Publications of the University of Eastern Finland. Reports and Studies in Forestry and Natural Sciences 1 Bulletin of the Australian Mathematical Society 1 Israel Journal of Mathematics 1 Journal d’Analyse Mathématique 1 Advances in Mathematics 1 Bulletin of the London Mathematical Society 1 Glasgow Mathematical Journal 1 Kodai Mathematical Journal 1 Mathematische Nachrichten 1 Monatshefte für Mathematik 1 Nagoya Mathematical Journal 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Proceedings of the London Mathematical Society. Third Series 1 Results in Mathematics 1 Acta Mathematica Universitatis Comenianae. New Series 1 Electronic Journal of Differential Equations (EJDE) 1 Abstract and Applied Analysis 1 Acta Mathematica Sinica. English Series 1 Journal of the Australian Mathematical Society 1 Mathematical Reports 1 Complex Variables and Elliptic Equations 1 Annales Academiæ Scientiarum Fennicæ. Mathematica. Dissertationes
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#### Fields

 38 Functions of a complex variable (30-XX) 32 Ordinary differential equations (34-XX) 6 Difference and functional equations (39-XX) 3 General and overarching topics; collections (00-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Functional analysis (46-XX)

#### Citations contained in zbMATH Open

36 Publications have been cited 578 times in 302 Documents Cited by Year
Value sharing results for shifts of meromorphic functions, and sufficient conditions for periodicity. Zbl 1180.30039
Heittokangas, J.; Korhonen, R.; Laine, I.; Rieppo, J.; Zhang, J.
2009
Complex difference equations of Malmquist type. Zbl 1013.39001
Heittokangas, Janne; Korhonen, Risto; Laine, Ilpo; Rieppo, Jarkko; Tohge, Kazuya
2001
On complex differential equations in the unit disc. Zbl 0965.34075
Heittokangas, Janne
2000
Uniqueness of meromorphic functions sharing values with their shifts. Zbl 1217.30029
Heittokangas, J.; Korhonen, R.; Laine, I.; Rieppo, J.
2011
Meromorphic solutions of generalized Schröder equations. Zbl 1012.30016
Gundersen, Gary G.; Heittokangas, Janne; Laine, Ilpo; Rieppo, Jarkko; Yang, Dequi
2002
Growth estimates for solutions of linear complex differential equations. Zbl 1057.34111
Heittokangas, J.; Korhonen, R.; Rättyä, J.
2004
Linear differential equations and logarithmic derivative estimates. Zbl 1044.34049
Chyzhykov, Igor; Gundersen, Gary G.; Heittokangas, Janne
2003
Fast growing solutions of linear differential equations in the unit disc. Zbl 1120.34071
Heittokangas, Janne; Korhonen, Risto; Rättyä, Jouni
2006
Linear differential equations with coefficients in weighted Bergman and Hardy spaces. Zbl 1133.34045
Heittokangas, Janne; Korhonen, Risto; Rättyä, Jouni
2008
Linear differential equations with solutions in the Dirichlet type subspace of the Hardy space. Zbl 1161.34060
Heittokangas, J.; Korhonen, R.; Rättyä, J.
2007
On meromorphic solutions of certain nonlinear differential equations. Zbl 1047.34101
Heittokangas, J.; Korhonen, R.; Laine, I.
2002
A survey on Blaschke-oscillatory differential equations, with updates. Zbl 1277.34122
Heittokangas, Janne
2013
Exponential polynomials as solutions of certain nonlinear difference equations. Zbl 1260.39027
Wen, Zhi Tao; Heittokangas, Janne; Laine, Ilpo
2012
Sharp logarithmic derivative estimates with applications to ordinary differential equations in the unit disc. Zbl 1201.34137
Chyzhykov, I.; Heittokangas, J.; Rättyä, J.
2010
Solutions of $$f''+A (z) f=0$$ in the unit disc having Blaschke sequences as the zeros. Zbl 1099.34076
Heittokangas, Janne
2005
Generalized logarithmic derivative estimates of Gol’dberg–Grinshtein type. Zbl 1067.30060
Heittokangas, J.; Korhonen, R.; Rättyä, J.
2004
Meromorphic solutions of some linear functional equations. Zbl 0963.39028
Heittokangas, Janne; Laine, Ilpo; Rieppo, Jarkko; Yang, Degui
2000
New findings on the Bank-Sauer approach in oscillation theory. Zbl 1256.34080
Gröhn, Janne; Heittokangas, Janne
2012
Finiteness of $$\varphi$$-order of solutions of linear differential equations in the unit disc. Zbl 1194.34162
Chyzhykov, I.; Heittokangas, J.; Rättyä, J.
2009
Solutions of $$f''+A(z)f=0$$ with prescribed sequences of zeros. Zbl 1164.34562
Heittokangas, J.; Laine, I.
2005
Completely regular growth solutions of second order complex linear differential equations. Zbl 1337.34089
Heittokangas, Janne; Laine, Ilpo; Tohge, Kazuya; Wen, Zhi-Tao
2015
Zero separation results for solutions of second order linear differential equations. Zbl 1287.34078
Chuaqui, Martin; Gröhn, Janne; Heittokangas, Janne; Rättyä, Jouni
2013
Second-order complex linear differential equations with special functions or extremal functions as coefficients. Zbl 1334.34187
Wu, Xiubi; Long, Jianren; Heittokangas, Janne; Qiu, Ke-E
2015
Growth estimates for logarithmic derivatives of Blaschke products and of functions in the Nevanlinna class. Zbl 1134.30025
Heittokangas, Janne
2007
Blaschke-oscillatory equations of the form $$f''+A(z)f=0$$. Zbl 1094.34060
Heittokangas, Janne
2006
Zero distribution of solutions of complex linear differential equations determines growth of coefficients. Zbl 1220.34109
Heittokangas, Janne; Rättyä, Jouni
2011
Growth estimates for solutions of nonhomogeneous linear complex differential equations. Zbl 1184.34084
Heittokangas, Janne; Korhonen, Risto; Rättyä, Jouni
2009
Zero distribution and division results for exponential polynomials. Zbl 1412.30113
Heittokangas, Janne; Ishizaki, Katsuya; Tohge, Kazuya; Wen, Zhi-Tao
2018
On the relationship between the lower order of coefficients and the growth of solutions of differential equations. Zbl 1354.34140
Long, Jianren; Heittokangas, Janne; Ye, Zhuan
2016
Functions of finite logarithmic order in the unit disc. I. Zbl 1308.30035
Heittokangas, Janne; Wen, Zhi-Tao
2014
On interpolating Blaschke products and Blaschke-oscillatory equations. Zbl 1227.30041
Heittokangas, Janne
2011
Dual exponential polynomials and linear differential equations. Zbl 1387.34122
Wen, Zhi-Tao; Gundersen, Gary G.; Heittokangas, Janne
2018
Functions of finite logarithmic order in the unit disc. II. Zbl 1317.30038
Heittokangas, Janne; Wen, Zhi-Tao
2015
A unit disc analogue of the Bank-Laine conjecture does not hold. Zbl 1221.34235
Heittokangas, Janne; Tohge, Kazuya
2011
Complex oscillation and nonoscillation results. Zbl 1429.34087
Heittokangas, Janne; Ishizaki, Katsuya; Laine, Ilpo; Tohge, Kazuya
2019
On the complexity of finding a necessary and sufficient condition for Blaschke-oscillatory equations. Zbl 1357.34136
Heittokangas, Janne; Reijonen, Atte
2015
Complex oscillation and nonoscillation results. Zbl 1429.34087
Heittokangas, Janne; Ishizaki, Katsuya; Laine, Ilpo; Tohge, Kazuya
2019
Zero distribution and division results for exponential polynomials. Zbl 1412.30113
Heittokangas, Janne; Ishizaki, Katsuya; Tohge, Kazuya; Wen, Zhi-Tao
2018
Dual exponential polynomials and linear differential equations. Zbl 1387.34122
Wen, Zhi-Tao; Gundersen, Gary G.; Heittokangas, Janne
2018
On the relationship between the lower order of coefficients and the growth of solutions of differential equations. Zbl 1354.34140
Long, Jianren; Heittokangas, Janne; Ye, Zhuan
2016
Completely regular growth solutions of second order complex linear differential equations. Zbl 1337.34089
Heittokangas, Janne; Laine, Ilpo; Tohge, Kazuya; Wen, Zhi-Tao
2015
Second-order complex linear differential equations with special functions or extremal functions as coefficients. Zbl 1334.34187
Wu, Xiubi; Long, Jianren; Heittokangas, Janne; Qiu, Ke-E
2015
Functions of finite logarithmic order in the unit disc. II. Zbl 1317.30038
Heittokangas, Janne; Wen, Zhi-Tao
2015
On the complexity of finding a necessary and sufficient condition for Blaschke-oscillatory equations. Zbl 1357.34136
Heittokangas, Janne; Reijonen, Atte
2015
Functions of finite logarithmic order in the unit disc. I. Zbl 1308.30035
Heittokangas, Janne; Wen, Zhi-Tao
2014
A survey on Blaschke-oscillatory differential equations, with updates. Zbl 1277.34122
Heittokangas, Janne
2013
Zero separation results for solutions of second order linear differential equations. Zbl 1287.34078
Chuaqui, Martin; Gröhn, Janne; Heittokangas, Janne; Rättyä, Jouni
2013
Exponential polynomials as solutions of certain nonlinear difference equations. Zbl 1260.39027
Wen, Zhi Tao; Heittokangas, Janne; Laine, Ilpo
2012
New findings on the Bank-Sauer approach in oscillation theory. Zbl 1256.34080
Gröhn, Janne; Heittokangas, Janne
2012
Uniqueness of meromorphic functions sharing values with their shifts. Zbl 1217.30029
Heittokangas, J.; Korhonen, R.; Laine, I.; Rieppo, J.
2011
Zero distribution of solutions of complex linear differential equations determines growth of coefficients. Zbl 1220.34109
Heittokangas, Janne; Rättyä, Jouni
2011
On interpolating Blaschke products and Blaschke-oscillatory equations. Zbl 1227.30041
Heittokangas, Janne
2011
A unit disc analogue of the Bank-Laine conjecture does not hold. Zbl 1221.34235
Heittokangas, Janne; Tohge, Kazuya
2011
Sharp logarithmic derivative estimates with applications to ordinary differential equations in the unit disc. Zbl 1201.34137
Chyzhykov, I.; Heittokangas, J.; Rättyä, J.
2010
Value sharing results for shifts of meromorphic functions, and sufficient conditions for periodicity. Zbl 1180.30039
Heittokangas, J.; Korhonen, R.; Laine, I.; Rieppo, J.; Zhang, J.
2009
Finiteness of $$\varphi$$-order of solutions of linear differential equations in the unit disc. Zbl 1194.34162
Chyzhykov, I.; Heittokangas, J.; Rättyä, J.
2009
Growth estimates for solutions of nonhomogeneous linear complex differential equations. Zbl 1184.34084
Heittokangas, Janne; Korhonen, Risto; Rättyä, Jouni
2009
Linear differential equations with coefficients in weighted Bergman and Hardy spaces. Zbl 1133.34045
Heittokangas, Janne; Korhonen, Risto; Rättyä, Jouni
2008
Linear differential equations with solutions in the Dirichlet type subspace of the Hardy space. Zbl 1161.34060
Heittokangas, J.; Korhonen, R.; Rättyä, J.
2007
Growth estimates for logarithmic derivatives of Blaschke products and of functions in the Nevanlinna class. Zbl 1134.30025
Heittokangas, Janne
2007
Fast growing solutions of linear differential equations in the unit disc. Zbl 1120.34071
Heittokangas, Janne; Korhonen, Risto; Rättyä, Jouni
2006
Blaschke-oscillatory equations of the form $$f''+A(z)f=0$$. Zbl 1094.34060
Heittokangas, Janne
2006
Solutions of $$f''+A (z) f=0$$ in the unit disc having Blaschke sequences as the zeros. Zbl 1099.34076
Heittokangas, Janne
2005
Solutions of $$f''+A(z)f=0$$ with prescribed sequences of zeros. Zbl 1164.34562
Heittokangas, J.; Laine, I.
2005
Growth estimates for solutions of linear complex differential equations. Zbl 1057.34111
Heittokangas, J.; Korhonen, R.; Rättyä, J.
2004
Generalized logarithmic derivative estimates of Gol’dberg–Grinshtein type. Zbl 1067.30060
Heittokangas, J.; Korhonen, R.; Rättyä, J.
2004
Linear differential equations and logarithmic derivative estimates. Zbl 1044.34049
Chyzhykov, Igor; Gundersen, Gary G.; Heittokangas, Janne
2003
Meromorphic solutions of generalized Schröder equations. Zbl 1012.30016
Gundersen, Gary G.; Heittokangas, Janne; Laine, Ilpo; Rieppo, Jarkko; Yang, Dequi
2002
On meromorphic solutions of certain nonlinear differential equations. Zbl 1047.34101
Heittokangas, J.; Korhonen, R.; Laine, I.
2002
Complex difference equations of Malmquist type. Zbl 1013.39001
Heittokangas, Janne; Korhonen, Risto; Laine, Ilpo; Rieppo, Jarkko; Tohge, Kazuya
2001
On complex differential equations in the unit disc. Zbl 0965.34075
Heittokangas, Janne
2000
Meromorphic solutions of some linear functional equations. Zbl 0963.39028
Heittokangas, Janne; Laine, Ilpo; Rieppo, Jarkko; Yang, Degui
2000
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#### Cited by 260 Authors

 27 Chen, Zongxuan 26 Heittokangas, Janne 21 Xu, Hongyan 16 Rättyä, Jouni 15 Li, Sheng 15 Yi, Hongxun 14 Korhonen, Risto 13 Yang, Lianzhong 12 Chen, Baoqin 12 Gröhn, Janne 12 Li, Xiaomin 10 Laine, Ilpo 9 Long, Jianren 9 Qi, Xiaoguang 9 Tu, Jin 9 Wen, Zhitao 7 Liu, Huifang 7 Mao, Zhiqiang 7 Sezer, Mehmet 7 Shon, Kwangho 7 Zheng, Xiumin 6 Cao, Tingbin 6 Chyzhykov, Igor Elbertovych 6 Gao, Zongsheng 6 Huang, Zhibo 6 Liao, Liangwen 6 Tohge, Kazuya 5 Ishizaki, Katsuya 5 Lu, Feng 4 Chiang, Yik-Man 4 Ding, Jie 4 Gülsu, Mustafa 4 Hamouda, Saada 4 Huusko, Juha-Matti 4 Li, Nan 4 Liu, Kai 4 Lu, Weiran 4 Majumder, Sujoy 4 Qi, Jianming 4 Rieppo, Jarkko 4 Wang, Hua 4 Xu, Junfeng 4 Ye, Zhuan 4 Zhang, Guowei 4 Zhang, Jilong 3 Belaïdi, Benharrat 3 Chen, Junfan 3 Chen, Minfeng 3 Chen, Shengjiang 3 Chuaqui, Martin 3 Dyavanal, Renukadevi Sangappa 3 Feng, Shaoji 3 Fowler, Kari E. 3 Gundersen, Gary G. 3 Han, Qi 3 Hu, Guangming 3 Lan, Shuangting 3 Latreuch, Zinelâabidine 3 Lin, Weichuan 3 Liu, Bingxiang 3 Liu, Yong 3 Meng, Chao 3 Sun, Yu 3 Wang, Jun 3 Wu, Xiubi 3 Xiao, Lipeng 3 Xuan, Zuxing 3 Yang, Chung-Chun 3 Zhang, Ranran 2 Bandura, Andriy Ivanovych 2 Barki, Mahesh 2 Bergweiler, Walter 2 Bhoosnurmath, Subhas S. 2 Chen, Chuangxin 2 Dong, Xianjing 2 Dou, Jia 2 el Farissi, Abdallah 2 Fang, Mingliang 2 Fenton, Peter C. 2 Gao, Lingyun 2 Hu, Peichu 2 Kang, Cong-Yun 2 Kumar, Sanjay 2 Li, Haichou 2 Li, Ping 2 Li, Qiaoping 2 Li, Wenli 2 Liu, Dan 2 Liu, Kai 2 Liu, Kai 2 Liu, Manli 2 Liu, Sanyang 2 Noulorvang, Vangty 2 Pham, Duc Thoan 2 Qiao, Jianyong 2 Reijonen, Atte 2 Rossi, John F. 2 Saini, Manisha 2 Skaskiv, Oleh Bohdanovych 2 Sons, Linda R. ...and 160 more Authors
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#### Cited in 94 Serials

 42 Journal of Mathematical Analysis and Applications 36 Advances in Difference Equations 23 Computational Methods and Function Theory 15 Abstract and Applied Analysis 10 Bulletin of the Korean Mathematical Society 9 Complex Variables and Elliptic Equations 7 Bulletin of the Australian Mathematical Society 6 Discrete Dynamics in Nature and Society 6 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 5 Applied Mathematics and Computation 5 Transactions of the American Mathematical Society 5 Annales Academiae Scientiarum Fennicae. Mathematica 4 Archiv der Mathematik 4 Proceedings of the American Mathematical Society 4 Constructive Approximation 4 Journal of Inequalities and Applications 4 Acta Mathematica Sinica. English Series 4 Journal of Function Spaces 3 Ukrainian Mathematical Journal 3 Proceedings of the Japan Academy. Series A 3 Journal of Difference Equations and Applications 3 Mediterranean Journal of Mathematics 3 Science China. Mathematics 3 Journal of Complex Analysis 3 Open Mathematics 2 Computers & Mathematics with Applications 2 Journal d’Analyse Mathématique 2 Mathematical Methods in the Applied Sciences 2 Rocky Mountain Journal of Mathematics 2 International Journal of Mathematics and Mathematical Sciences 2 Journal of Differential Equations 2 Mathematische Nachrichten 2 Results in Mathematics 2 Numerical Methods for Partial Differential Equations 2 The Journal of Geometric Analysis 2 Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences 2 Aequationes Mathematicae 2 The Journal of Analysis 2 Applied Mathematics. Series B (English Edition) 2 Taiwanese Journal of Mathematics 2 Matematychni Studiï 2 Journal of the Australian Mathematical Society 2 Applied Mathematics E-Notes 2 Journal of Mathematics 1 Analysis Mathematica 1 Israel Journal of Mathematics 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Periodica Mathematica Hungarica 1 Advances in Mathematics 1 Annales Polonici Mathematici 1 Czechoslovak Mathematical Journal 1 Fasciculi Mathematici 1 Glasgow Mathematical Journal 1 Mathematica Slovaca 1 Memoirs of the American Mathematical Society 1 Monatshefte für Mathematik 1 Nagoya Mathematical Journal 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Proceedings of the London Mathematical Society. Third Series 1 Rendiconti del Circolo Matemàtico di Palermo. Serie II 1 Studies in Applied Mathematics 1 Chinese Annals of Mathematics. Series B 1 Bulletin of the Iranian Mathematical Society 1 Acta Mathematicae Applicatae Sinica. English Series 1 Applied Mathematics Letters 1 Science in China. Series A 1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 1 Indagationes Mathematicae. New Series 1 Journal of Mathematical Sciences (New York) 1 Electronic Journal of Differential Equations (EJDE) 1 Bulletin of the Belgian Mathematical Society - Simon Stevin 1 Georgian Mathematical Journal 1 Bulletin des Sciences Mathématiques 1 Opuscula Mathematica 1 Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica 1 The Ramanujan Journal 1 Novi Sad Journal of Mathematics 1 Analysis (München) 1 Journal of the European Mathematical Society (JEMS) 1 Communications of the Korean Mathematical Society 1 Acta Mathematica Scientia. Series B. (English Edition) 1 Analysis and Applications (Singapore) 1 Complex Analysis and Operator Theory 1 Journal of Mathematical Inequalities 1 Tbilisi Mathematical Journal 1 Differential Equations and Applications 1 Advances in Pure and Applied Mathematics 1 Journal of Applied Mathematics & Informatics 1 Afrika Matematika 1 Journal of Applied Analysis and Computation 1 Communications in Mathematics and Statistics 1 Electronic Journal of Mathematical Analysis and Applications EJMAA 1 Mathematics 1 Korean Journal of Mathematics
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#### Cited in 16 Fields

 261 Functions of a complex variable (30-XX) 115 Ordinary differential equations (34-XX) 110 Difference and functional equations (39-XX) 8 Numerical analysis (65-XX) 5 Several complex variables and analytic spaces (32-XX) 5 Special functions (33-XX) 4 Dynamical systems and ergodic theory (37-XX) 3 Number theory (11-XX) 2 Functional analysis (46-XX) 2 Operator theory (47-XX) 1 Combinatorics (05-XX) 1 Field theory and polynomials (12-XX) 1 Group theory and generalizations (20-XX) 1 Partial differential equations (35-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Integral equations (45-XX)