## Gundersen, Gary G.

Compute Distance To:
 Author ID: gundersen.gary-g Published as: Gundersen, Gary G.; Gundersen, G. G.
 Documents Indexed: 50 Publications since 1976 Co-Authors: 19 Co-Authors with 24 Joint Publications 297 Co-Co-Authors
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### Co-Authors

 25 single-authored 6 Steinbart, Enid M. 5 Heittokangas, Janne M. 4 Laine, Ilpo 3 Tohge, Kazuya 3 Wang, Shupei 3 Yang, Chung-Chun 2 Czubiak, Thomas P. 2 Wen, Zhitao 1 Bank, Steven B. 1 Chyzhykov, Igor Elbertovych 1 Hayman, Walter Kurt 1 Ishizaki, Katsuya 1 Kimura, Naofumi 1 Lu, Weiran 1 Ng, Tuen-Wai 1 Rieppo, Jarkko 1 Steinmetz, Norbert 1 Yang, Dequi 1 Zemirni, Amine
all top 5

### Serials

 6 Transactions of the American Mathematical Society 5 Journal of Mathematical Analysis and Applications 5 Computational Methods and Function Theory 3 Annales Academiae Scientiarum Fennicae. Series A I. Mathematica 3 Proceedings of the Edinburgh Mathematical Society. Series II 3 Complex Variables. Theory and Application 2 Journal of Differential Equations 2 Journal of the London Mathematical Society. Second Series 2 Proceedings of the American Mathematical Society 2 Results in Mathematics 2 Annales Academiae Scientiarum Fennicae. Mathematica 1 Bulletin of the London Mathematical Society 1 Indiana University Mathematics Journal 1 Kodai Mathematical Journal 1 Mathematica Scandinavica 1 Pacific Journal of Mathematics 1 Proceedings of the London Mathematical Society. Third Series 1 Aequationes Mathematicae 1 Proceedings of the National Academy of Sciences of the United States of America 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Expositiones Mathematicae 1 Analysis (München) 1 Complex Variables and Elliptic Equations

### Fields

 39 Functions of a complex variable (30-XX) 27 Ordinary differential equations (34-XX) 4 Difference and functional equations (39-XX) 1 Partial differential equations (35-XX)

### Citations contained in zbMATH Open

47 Publications have been cited 925 times in 571 Documents Cited by Year
Estimates for the logarithmic derivative of a meromorphic function, plus similar estimates. Zbl 0638.30030
Gundersen, Gary G.
1988
Entire functions that share one value with one or two of their derivatives. Zbl 0911.30022
Gundersen, Gary G.; Yang, Lian-Zhong
1998
Meromorphic functions that share three or four values. Zbl 0413.30025
Gundersen, Gary G.
1979
Finite order solutions of second order linear differential equations. Zbl 0669.34010
Gundersen, Gary G.
1988
Meromorphic functions that share four values. Zbl 0508.30029
Gundersen, Gary G.
1983
Finite order solutions of second order linear differential equations. Zbl 0634.34004
Gundersen, Gary G.
1988
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
The possible orders of solutions of linear differential equations with polynomial coefficients. Zbl 0893.34003
Gundersen, Gary G.; Steinbart, Enid M.; Wang, Shupei
1998
Meromorphic functions that share finite values with their derivative. Zbl 0447.30018
Gundersen, Gary G.
1980
The strength of Cartan’s version of Nevanlinna theory. Zbl 1061.30021
Gundersen, Gary G.; Hayman, Walter K.
2004
On the question of whether $$f''+e^{-z}f'+B(z)f=0$$ can admit a solution $$f\not\equiv 0$$ of finite order. Zbl 0598.34002
Gundersen, Gary G.
1986
Meromorphic functions that share two finite values with their derivative. Zbl 0497.30025
Gundersen, Gary G.
1983
On the real zeros of solutions of $$f''+A(z)f=0$$ where A(z) is entire. Zbl 0607.34007
Gundersen, Gary G.
1986
Research questions on meromorphic functions and complex differential equations. Zbl 1369.30029
Gundersen, Gary G.
2017
Correction to “Meromorphic functions that share four values”. Zbl 0631.30028
Gundersen, Gary G.
1987
Meromorphic functions that share three values $$IM$$ and a fourth value $$CM$$. Zbl 0773.30032
Gundersen, Gary G.
1992
Meromorphic solutions of the Riccati differential equation. Zbl 0493.34007
Bank, Steven B.; Gundersen, Gary G.; Laine, Ilpo
1981
Meromorphic functions that share pairs of values. Zbl 0908.30033
Czubiak, Thomas P.; Gundersen, Gary G.
1997
Finite order solutions of nonhomogeneous linear differential equations. Zbl 0765.34004
Gundersen, Gary G.; Steinbart, Enid M.
1992
Meromorphic solutions of $$f^6+ g^6+ h^6\equiv 1$$. Zbl 0916.30028
Gundersen, Gary G.
1998
Subnormal solutions of second order linear differential equations with periodic coefficients. Zbl 0804.34009
Gundersen, Gary G.; Steinbart, Enid M.
1994
Dual exponential polynomials and linear differential equations. Zbl 1387.34122
Wen, Zhi-Tao; Gundersen, Gary G.; Heittokangas, Janne
2018
Complex functional equations. Zbl 1033.30019
Gundersen, Gary G.
2003
Meromorphic solutions of $$f^5+g^5+h^5\equiv 1$$. Zbl 1022.30029
Gundersen, Gary G.
2001
On the meromorphic solutions of some algebraic differential equations. Zbl 0593.34014
Gundersen, Gary G.; Laine, Ilpo
1985
Solutions of $$f'' + P(z)f = 0$$ that have almost all real zeros. Zbl 1002.34077
Gundersen, Gary G.
2001
When two entire functions and also their first derivatives have the same zeros. Zbl 0431.30015
Gundersen, Gary G.
1981
A generalization of the Airy integral for $$f''-z^ nf=0$$. Zbl 0777.34006
Gundersen, Gary G.; Steinbart, Enid M.
1993
Entire and meromorphic solutions of $$f^5+g^5+h^5=1$$. Zbl 1067.30059
Gundersen, Gary G.; Tohge, Kazuya
2004
Meromorphic functions that share five pairs of values. Zbl 1217.30028
Gundersen, G. G.
2011
Growth and oscillation theory of non-homogeneous linear differential equations. Zbl 0952.34071
Gundersen, Gary G.; Steinbart, Enid M.; Wang, Shupei
2000
Restrictions on meromorphic solutions of Fermat type equations. Zbl 1461.30075
Gundersen, Gary G.; Ishizaki, Katsuya; Kimura, Naofumi
2020
A subclass of anharmonic oscillators whose eigenfunctions have no recurrence relations. Zbl 0314.34016
Gundersen, Gary G.
1976
Meromorphic functions that share four or five pairs of values. Zbl 1407.30011
Gundersen, Gary G.; Steinmetz, Norbert; Tohge, Kazuya
2018
On the preimage sets of entire functions. Zbl 0548.30024
Gundersen, Gary G.; Yang, Chung-Chun
1984
Meromorphic solutions of a differential equation with polynomial coefficients. Zbl 1157.34063
Gundersen, Gary G.
2008
Unique range sets for polynomials or rational functions. Zbl 1284.30004
Gundersen, Gary G.; Tohge, Kazuya
2003
Entire solutions of differential equations that are related to trigonometric identities. Zbl 1481.30018
Gundersen, Gary G.; Lü, Wei-Ran; Ng, Tuen-Wai; Yang, Chung-Chun
2022
Exponential operators from anharmonic oscillators. Zbl 0345.34014
Gundersen, Gary G.
1978
Lower bounds for eigenvalues of self-adjoint problems. Zbl 0413.34032
Gundersen, Gary G.
1979
Existence of meromorphic solutions of algebraic differential equations. Zbl 0719.34010
Gundersen, Gary G.; Laine, Ilpo
1990
Entire solutions of binomial differential equations. Zbl 1502.34100
Gundersen, Gary G.; Yang, Chung-Chun
2021
Solutions of nonhomogeneous linear differential equations with exceptionally few zeros. Zbl 0923.34001
Gundersen, Gary G.; Steinbart, Enid M.; Wang, Shupei
1998
Deficient values of solutions of linear differential equations. Zbl 1468.34124
Gundersen, Gary G.; Heittokangas, Janne; Wen, Zhi-Tao
2021
The deficiencies of meromorphic solutions of certain algebraic differential equations. Zbl 0678.34008
Gundersen, Gary G.
1989
Entire functions that share real zeros and real ones. Zbl 0442.30023
Czubiak, Thomas P.; Gundersen, Gary G.
1981
Entire solutions of differential equations that are related to trigonometric identities. Zbl 1481.30018
Gundersen, Gary G.; Lü, Wei-Ran; Ng, Tuen-Wai; Yang, Chung-Chun
2022
Entire solutions of binomial differential equations. Zbl 1502.34100
Gundersen, Gary G.; Yang, Chung-Chun
2021
Deficient values of solutions of linear differential equations. Zbl 1468.34124
Gundersen, Gary G.; Heittokangas, Janne; Wen, Zhi-Tao
2021
Restrictions on meromorphic solutions of Fermat type equations. Zbl 1461.30075
Gundersen, Gary G.; Ishizaki, Katsuya; Kimura, Naofumi
2020
Dual exponential polynomials and linear differential equations. Zbl 1387.34122
Wen, Zhi-Tao; Gundersen, Gary G.; Heittokangas, Janne
2018
Meromorphic functions that share four or five pairs of values. Zbl 1407.30011
Gundersen, Gary G.; Steinmetz, Norbert; Tohge, Kazuya
2018
Research questions on meromorphic functions and complex differential equations. Zbl 1369.30029
Gundersen, Gary G.
2017
Meromorphic functions that share five pairs of values. Zbl 1217.30028
Gundersen, G. G.
2011
Meromorphic solutions of a differential equation with polynomial coefficients. Zbl 1157.34063
Gundersen, Gary G.
2008
The strength of Cartan’s version of Nevanlinna theory. Zbl 1061.30021
Gundersen, Gary G.; Hayman, Walter K.
2004
Entire and meromorphic solutions of $$f^5+g^5+h^5=1$$. Zbl 1067.30059
Gundersen, Gary G.; Tohge, Kazuya
2004
Linear differential equations and logarithmic derivative estimates. Zbl 1044.34049
Chyzhykov, Igor; Gundersen, Gary G.; Heittokangas, Janne
2003
Complex functional equations. Zbl 1033.30019
Gundersen, Gary G.
2003
Unique range sets for polynomials or rational functions. Zbl 1284.30004
Gundersen, Gary G.; Tohge, Kazuya
2003
Meromorphic solutions of generalized Schröder equations. Zbl 1012.30016
Gundersen, Gary G.; Heittokangas, Janne; Laine, Ilpo; Rieppo, Jarkko; Yang, Dequi
2002
Meromorphic solutions of $$f^5+g^5+h^5\equiv 1$$. Zbl 1022.30029
Gundersen, Gary G.
2001
Solutions of $$f'' + P(z)f = 0$$ that have almost all real zeros. Zbl 1002.34077
Gundersen, Gary G.
2001
Growth and oscillation theory of non-homogeneous linear differential equations. Zbl 0952.34071
Gundersen, Gary G.; Steinbart, Enid M.; Wang, Shupei
2000
Entire functions that share one value with one or two of their derivatives. Zbl 0911.30022
Gundersen, Gary G.; Yang, Lian-Zhong
1998
The possible orders of solutions of linear differential equations with polynomial coefficients. Zbl 0893.34003
Gundersen, Gary G.; Steinbart, Enid M.; Wang, Shupei
1998
Meromorphic solutions of $$f^6+ g^6+ h^6\equiv 1$$. Zbl 0916.30028
Gundersen, Gary G.
1998
Solutions of nonhomogeneous linear differential equations with exceptionally few zeros. Zbl 0923.34001
Gundersen, Gary G.; Steinbart, Enid M.; Wang, Shupei
1998
Meromorphic functions that share pairs of values. Zbl 0908.30033
Czubiak, Thomas P.; Gundersen, Gary G.
1997
Subnormal solutions of second order linear differential equations with periodic coefficients. Zbl 0804.34009
Gundersen, Gary G.; Steinbart, Enid M.
1994
A generalization of the Airy integral for $$f''-z^ nf=0$$. Zbl 0777.34006
Gundersen, Gary G.; Steinbart, Enid M.
1993
Meromorphic functions that share three values $$IM$$ and a fourth value $$CM$$. Zbl 0773.30032
Gundersen, Gary G.
1992
Finite order solutions of nonhomogeneous linear differential equations. Zbl 0765.34004
Gundersen, Gary G.; Steinbart, Enid M.
1992
Existence of meromorphic solutions of algebraic differential equations. Zbl 0719.34010
Gundersen, Gary G.; Laine, Ilpo
1990
The deficiencies of meromorphic solutions of certain algebraic differential equations. Zbl 0678.34008
Gundersen, Gary G.
1989
Estimates for the logarithmic derivative of a meromorphic function, plus similar estimates. Zbl 0638.30030
Gundersen, Gary G.
1988
Finite order solutions of second order linear differential equations. Zbl 0669.34010
Gundersen, Gary G.
1988
Finite order solutions of second order linear differential equations. Zbl 0634.34004
Gundersen, Gary G.
1988
Correction to “Meromorphic functions that share four values”. Zbl 0631.30028
Gundersen, Gary G.
1987
On the question of whether $$f''+e^{-z}f'+B(z)f=0$$ can admit a solution $$f\not\equiv 0$$ of finite order. Zbl 0598.34002
Gundersen, Gary G.
1986
On the real zeros of solutions of $$f''+A(z)f=0$$ where A(z) is entire. Zbl 0607.34007
Gundersen, Gary G.
1986
On the meromorphic solutions of some algebraic differential equations. Zbl 0593.34014
Gundersen, Gary G.; Laine, Ilpo
1985
On the preimage sets of entire functions. Zbl 0548.30024
Gundersen, Gary G.; Yang, Chung-Chun
1984
Meromorphic functions that share four values. Zbl 0508.30029
Gundersen, Gary G.
1983
Meromorphic functions that share two finite values with their derivative. Zbl 0497.30025
Gundersen, Gary G.
1983
Meromorphic solutions of the Riccati differential equation. Zbl 0493.34007
Bank, Steven B.; Gundersen, Gary G.; Laine, Ilpo
1981
When two entire functions and also their first derivatives have the same zeros. Zbl 0431.30015
Gundersen, Gary G.
1981
Entire functions that share real zeros and real ones. Zbl 0442.30023
Czubiak, Thomas P.; Gundersen, Gary G.
1981
Meromorphic functions that share finite values with their derivative. Zbl 0447.30018
Gundersen, Gary G.
1980
Meromorphic functions that share three or four values. Zbl 0413.30025
Gundersen, Gary G.
1979
Lower bounds for eigenvalues of self-adjoint problems. Zbl 0413.34032
Gundersen, Gary G.
1979
Exponential operators from anharmonic oscillators. Zbl 0345.34014
Gundersen, Gary G.
1978
A subclass of anharmonic oscillators whose eigenfunctions have no recurrence relations. Zbl 0314.34016
Gundersen, Gary G.
1976
all top 5

### Cited by 377 Authors

 41 Yi, Hongxun 36 Chen, Zongxuan 27 Heittokangas, Janne M. 26 Xu, Hongyan 22 Langley, James K. 21 Gundersen, Gary G. 21 Li, Xiaomin 18 Ishizaki, Katsuya 17 Korhonen, Risto 17 Laine, Ilpo 16 Tu, Jin 15 Long, Jianren 15 Tohge, Kazuya 15 Yang, Lianzhong 14 Belaïdi, Benharrat 14 Rättyä, Jouni 13 Lahiri, Indrajit 13 Wang, Jun 12 Cao, Tingbin 12 Majumder, Sujoy 10 Yang, Chung-Chun 10 Zheng, Xiumin 9 Fang, Mingliang 9 Han, Qi 9 Huang, Zhibo 9 Li, Ping 9 Shon, Kwangho 8 Wen, Zhitao 8 Xu, Junfeng 7 Gröhn, Janne 7 Li, Sheng 7 Lu, Feng 6 Chyzhykov, Igor Elbertovych 6 Hamouda, Saada 6 Liu, Huifang 6 Mao, Zhiqiang 6 Qi, Xiaoguang 6 Sahoo, Pulak 6 Sĩ Đức Quang 6 Xiao, Lipeng 6 Zhang, Guowei 5 Chen, Baoqin 5 Chen, Chuangxin 5 Gao, Shian 5 Huang, Zhigang 5 Li, Baoqin 5 Li, Yezhou 5 Liu, Yong 5 Lu, Weiran 5 Wang, Hua 5 Wu, Pengcheng 5 Zhang, Jilong 5 Zhang, Ranran 4 Ahamed, Molla Basir 4 Al-Khaladi, Amer Haider Hussein 4 Banerjee, Abhijit 4 Bergweiler, Walter 4 Chiang, Yik-Man 4 Feng, Shaoji 4 Gao, Zongsheng 4 Hu, Guangming 4 Hu, Peichu 4 Latreuch, Zinelâabidine 4 Meng, Chao 4 Rieppo, Jarkko 4 Steinbart, Enid M. 4 Steinmetz, Norbert 4 Sun, Yu 4 Wang, Qiong 4 Wang, Shupei 4 Xuan, Zuxing 3 Barki, Mahesh 3 Bhoosnurmath, Subhas S. 3 Biswas, Gurudas 3 Biswas, Nityagopal 3 Chen, Wei 3 Chuaqui, Martin 3 Deng, Guantie 3 Dyakonov, Konstantin M. 3 el Farissi, Abdallah 3 Gao, Lingyun 3 Huusko, Juha-Matti 3 Lan, Shuangting 3 Liao, Liangwen 3 Lin, Weichuan 3 Liu, Bingxiang 3 Liu, Manli 3 Pramanik, Dilip Chandra 3 Qi, Jianming 3 Qiao, Jianyong 3 Rossi, John F. 3 Saha, Somnath 3 Saini, Manisha 3 Shimomura, Shun 3 Ueda, Hideharu 3 Wang, Yuefei 3 Wu, Xiubi 3 Yu, Hui 3 Zhang, Xiaobin 2 Alzahary, Thamir Chilaap ...and 277 more Authors
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### Cited in 136 Serials

 74 Journal of Mathematical Analysis and Applications 36 Computational Methods and Function Theory 35 Advances in Difference Equations 33 Kodai Mathematical Journal 21 Results in Mathematics 17 Complex Variables and Elliptic Equations 15 Abstract and Applied Analysis 12 Proceedings of the American Mathematical Society 12 AIMS Mathematics 11 Transactions of the American Mathematical Society 11 Journal of Inequalities and Applications 11 Acta Mathematica Sinica. English Series 10 Bulletin of the Korean Mathematical Society 9 Proceedings of the Edinburgh Mathematical Society. Series II 9 Proceedings of the Japan Academy. Series A 8 Bulletin of the Australian Mathematical Society 8 Journal d’Analyse Mathématique 8 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 7 Filomat 6 Annales Academiae Scientiarum Fennicae. Mathematica 5 Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences 5 Matematychni Studiï 5 Acta Mathematica Scientia. Series B. (English Edition) 4 Archiv der Mathematik 4 Kyungpook Mathematical Journal 4 Applied Mathematics. Series B (English Edition) 4 Arab Journal of Mathematical Sciences 4 Journal of the Australian Mathematical Society 4 Complex Analysis and Operator Theory 3 Analysis Mathematica 3 Journal of Differential Equations 3 Mathematische Nachrichten 3 Mathematica Slovaca 3 Nagoya Mathematical Journal 3 Rendiconti del Circolo Matemàtico di Palermo. Serie II 3 Bulletin of the Iranian Mathematical Society 3 Constructive Approximation 3 Aequationes Mathematicae 3 Discrete Dynamics in Nature and Society 3 Analysis (München) 3 Communications of the Korean Mathematical Society 3 Journal of Mathematical Inequalities 3 Science China. Mathematics 3 Analysis and Mathematical Physics 3 Palestine Journal of Mathematics 3 Journal of Complex Analysis 3 Journal of Function Spaces 3 Open Mathematics 3 Korean Journal of Mathematics 3 Bollettino dell’Unione Matematica Italiana 2 Israel Journal of Mathematics 2 Lithuanian Mathematical Journal 2 Rocky Mountain Journal of Mathematics 2 Acta Mathematica Vietnamica 2 Advances in Mathematics 2 Czechoslovak Mathematical Journal 2 The Journal of the Indian Mathematical Society. New Series 2 Mathematische Zeitschrift 2 Quaestiones Mathematicae 2 Tôhoku Mathematical Journal. Second Series 2 Chinese Annals of Mathematics. Series B 2 Acta Mathematicae Applicatae Sinica. English Series 2 Applied Mathematics Letters 2 International Journal of Mathematics 2 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 2 The Journal of Analysis 2 Electronic Journal of Differential Equations (EJDE) 2 Bulletin of the Belgian Mathematical Society - Simon Stevin 2 Opuscula Mathematica 2 Journal of Systems Science and Complexity 2 Applied Mathematics E-Notes 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Mediterranean Journal of Mathematics 2 Tbilisi Mathematical Journal 2 Journal of Applied Mathematics & Informatics 2 Arabian Journal of Mathematics 2 Journal of Mathematics 1 Applicable Analysis 1 Computers & Mathematics with Applications 1 Indian Journal of Pure & Applied Mathematics 1 Journal of Mathematical Physics 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Ukrainian Mathematical Journal 1 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 1 Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Annales Polonici Mathematici 1 Applied Mathematics and Computation 1 Canadian Journal of Mathematics 1 Canadian Mathematical Bulletin 1 Illinois Journal of Mathematics 1 International Journal of Mathematics and Mathematical Sciences 1 Integral Equations and Operator Theory 1 Journal of Computational and Applied Mathematics 1 Journal of Functional Analysis 1 Mathematische Annalen 1 Memoirs of the American Mathematical Society 1 Pacific Journal of Mathematics 1 Zeitschrift für Analysis und ihre Anwendungen 1 Chinese Annals of Mathematics. Series A ...and 36 more Serials
all top 5

### Cited in 18 Fields

 492 Functions of a complex variable (30-XX) 216 Ordinary differential equations (34-XX) 99 Difference and functional equations (39-XX) 26 Several complex variables and analytic spaces (32-XX) 12 Number theory (11-XX) 9 Dynamical systems and ergodic theory (37-XX) 8 Partial differential equations (35-XX) 5 Operator theory (47-XX) 3 Special functions (33-XX) 2 Algebraic geometry (14-XX) 2 Functional analysis (46-XX) 2 Numerical analysis (65-XX) 2 Quantum theory (81-XX) 1 Field theory and polynomials (12-XX) 1 Topological groups, Lie groups (22-XX) 1 Real functions (26-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Probability theory and stochastic processes (60-XX)