Edit Profile (opens in new tab) Gundersen, Gary G. Compute Distance To: Compute 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 all top 5 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) Publications by Year all cited Publications top 5 cited Publications 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 0638.30030Gundersen, Gary G. 177 1988 Entire functions that share one value with one or two of their derivatives. Zbl 0911.30022Gundersen, Gary G.; Yang, Lian-Zhong 74 1998 Meromorphic functions that share three or four values. Zbl 0413.30025Gundersen, Gary G. 65 1979 Finite order solutions of second order linear differential equations. Zbl 0669.34010Gundersen, Gary G. 51 1988 Meromorphic functions that share four values. Zbl 0508.30029Gundersen, Gary G. 49 1983 Finite order solutions of second order linear differential equations. Zbl 0634.34004Gundersen, Gary G. 49 1988 Linear differential equations and logarithmic derivative estimates. Zbl 1044.34049Chyzhykov, Igor; Gundersen, Gary G.; Heittokangas, Janne 45 2003 Meromorphic solutions of generalized Schröder equations. Zbl 1012.30016Gundersen, Gary G.; Heittokangas, Janne; Laine, Ilpo; Rieppo, Jarkko; Yang, Dequi 41 2002 The possible orders of solutions of linear differential equations with polynomial coefficients. Zbl 0893.34003Gundersen, Gary G.; Steinbart, Enid M.; Wang, Shupei 38 1998 Meromorphic functions that share finite values with their derivative. Zbl 0447.30018Gundersen, Gary G. 36 1980 The strength of Cartan’s version of Nevanlinna theory. Zbl 1061.30021Gundersen, Gary G.; Hayman, Walter K. 34 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 0598.34002Gundersen, Gary G. 33 1986 Meromorphic functions that share two finite values with their derivative. Zbl 0497.30025Gundersen, Gary G. 33 1983 On the real zeros of solutions of \(f''+A(z)f=0\) where A(z) is entire. Zbl 0607.34007Gundersen, Gary G. 21 1986 Research questions on meromorphic functions and complex differential equations. Zbl 1369.30029Gundersen, Gary G. 18 2017 Correction to “Meromorphic functions that share four values”. Zbl 0631.30028Gundersen, Gary G. 18 1987 Meromorphic functions that share three values \(IM\) and a fourth value \(CM\). Zbl 0773.30032Gundersen, Gary G. 17 1992 Meromorphic solutions of the Riccati differential equation. Zbl 0493.34007Bank, Steven B.; Gundersen, Gary G.; Laine, Ilpo 16 1981 Meromorphic functions that share pairs of values. Zbl 0908.30033Czubiak, Thomas P.; Gundersen, Gary G. 11 1997 Finite order solutions of nonhomogeneous linear differential equations. Zbl 0765.34004Gundersen, Gary G.; Steinbart, Enid M. 9 1992 Meromorphic solutions of \(f^6+ g^6+ h^6\equiv 1\). Zbl 0916.30028Gundersen, Gary G. 9 1998 Subnormal solutions of second order linear differential equations with periodic coefficients. Zbl 0804.34009Gundersen, Gary G.; Steinbart, Enid M. 8 1994 Dual exponential polynomials and linear differential equations. Zbl 1387.34122Wen, Zhi-Tao; Gundersen, Gary G.; Heittokangas, Janne 7 2018 Complex functional equations. Zbl 1033.30019Gundersen, Gary G. 7 2003 Meromorphic solutions of \(f^5+g^5+h^5\equiv 1\). Zbl 1022.30029Gundersen, Gary G. 6 2001 On the meromorphic solutions of some algebraic differential equations. Zbl 0593.34014Gundersen, Gary G.; Laine, Ilpo 6 1985 Solutions of \(f'' + P(z)f = 0\) that have almost all real zeros. Zbl 1002.34077Gundersen, Gary G. 5 2001 When two entire functions and also their first derivatives have the same zeros. Zbl 0431.30015Gundersen, Gary G. 5 1981 A generalization of the Airy integral for \(f''-z^ nf=0\). Zbl 0777.34006Gundersen, Gary G.; Steinbart, Enid M. 4 1993 Entire and meromorphic solutions of \(f^5+g^5+h^5=1\). Zbl 1067.30059Gundersen, Gary G.; Tohge, Kazuya 4 2004 Meromorphic functions that share five pairs of values. Zbl 1217.30028Gundersen, G. G. 4 2011 Growth and oscillation theory of non-homogeneous linear differential equations. Zbl 0952.34071Gundersen, Gary G.; Steinbart, Enid M.; Wang, Shupei 4 2000 Restrictions on meromorphic solutions of Fermat type equations. Zbl 1461.30075Gundersen, Gary G.; Ishizaki, Katsuya; Kimura, Naofumi 2 2020 A subclass of anharmonic oscillators whose eigenfunctions have no recurrence relations. Zbl 0314.34016Gundersen, Gary G. 2 1976 Meromorphic functions that share four or five pairs of values. Zbl 1407.30011Gundersen, Gary G.; Steinmetz, Norbert; Tohge, Kazuya 2 2018 On the preimage sets of entire functions. Zbl 0548.30024Gundersen, Gary G.; Yang, Chung-Chun 2 1984 Meromorphic solutions of a differential equation with polynomial coefficients. Zbl 1157.34063Gundersen, Gary G. 2 2008 Unique range sets for polynomials or rational functions. Zbl 1284.30004Gundersen, Gary G.; Tohge, Kazuya 2 2003 Entire solutions of differential equations that are related to trigonometric identities. Zbl 1481.30018Gundersen, Gary G.; Lü, Wei-Ran; Ng, Tuen-Wai; Yang, Chung-Chun 1 2022 Exponential operators from anharmonic oscillators. Zbl 0345.34014Gundersen, Gary G. 1 1978 Lower bounds for eigenvalues of self-adjoint problems. Zbl 0413.34032Gundersen, Gary G. 1 1979 Existence of meromorphic solutions of algebraic differential equations. Zbl 0719.34010Gundersen, Gary G.; Laine, Ilpo 1 1990 Entire solutions of binomial differential equations. Zbl 1502.34100Gundersen, Gary G.; Yang, Chung-Chun 1 2021 Solutions of nonhomogeneous linear differential equations with exceptionally few zeros. Zbl 0923.34001Gundersen, Gary G.; Steinbart, Enid M.; Wang, Shupei 1 1998 Deficient values of solutions of linear differential equations. Zbl 1468.34124Gundersen, Gary G.; Heittokangas, Janne; Wen, Zhi-Tao 1 2021 The deficiencies of meromorphic solutions of certain algebraic differential equations. Zbl 0678.34008Gundersen, Gary G. 1 1989 Entire functions that share real zeros and real ones. Zbl 0442.30023Czubiak, Thomas P.; Gundersen, Gary G. 1 1981 Entire solutions of differential equations that are related to trigonometric identities. Zbl 1481.30018Gundersen, Gary G.; Lü, Wei-Ran; Ng, Tuen-Wai; Yang, Chung-Chun 1 2022 Entire solutions of binomial differential equations. Zbl 1502.34100Gundersen, Gary G.; Yang, Chung-Chun 1 2021 Deficient values of solutions of linear differential equations. Zbl 1468.34124Gundersen, Gary G.; Heittokangas, Janne; Wen, Zhi-Tao 1 2021 Restrictions on meromorphic solutions of Fermat type equations. Zbl 1461.30075Gundersen, Gary G.; Ishizaki, Katsuya; Kimura, Naofumi 2 2020 Dual exponential polynomials and linear differential equations. Zbl 1387.34122Wen, Zhi-Tao; Gundersen, Gary G.; Heittokangas, Janne 7 2018 Meromorphic functions that share four or five pairs of values. Zbl 1407.30011Gundersen, Gary G.; Steinmetz, Norbert; Tohge, Kazuya 2 2018 Research questions on meromorphic functions and complex differential equations. Zbl 1369.30029Gundersen, Gary G. 18 2017 Meromorphic functions that share five pairs of values. Zbl 1217.30028Gundersen, G. G. 4 2011 Meromorphic solutions of a differential equation with polynomial coefficients. Zbl 1157.34063Gundersen, Gary G. 2 2008 The strength of Cartan’s version of Nevanlinna theory. Zbl 1061.30021Gundersen, Gary G.; Hayman, Walter K. 34 2004 Entire and meromorphic solutions of \(f^5+g^5+h^5=1\). Zbl 1067.30059Gundersen, Gary G.; Tohge, Kazuya 4 2004 Linear differential equations and logarithmic derivative estimates. Zbl 1044.34049Chyzhykov, Igor; Gundersen, Gary G.; Heittokangas, Janne 45 2003 Complex functional equations. Zbl 1033.30019Gundersen, Gary G. 7 2003 Unique range sets for polynomials or rational functions. Zbl 1284.30004Gundersen, Gary G.; Tohge, Kazuya 2 2003 Meromorphic solutions of generalized Schröder equations. Zbl 1012.30016Gundersen, Gary G.; Heittokangas, Janne; Laine, Ilpo; Rieppo, Jarkko; Yang, Dequi 41 2002 Meromorphic solutions of \(f^5+g^5+h^5\equiv 1\). Zbl 1022.30029Gundersen, Gary G. 6 2001 Solutions of \(f'' + P(z)f = 0\) that have almost all real zeros. Zbl 1002.34077Gundersen, Gary G. 5 2001 Growth and oscillation theory of non-homogeneous linear differential equations. Zbl 0952.34071Gundersen, Gary G.; Steinbart, Enid M.; Wang, Shupei 4 2000 Entire functions that share one value with one or two of their derivatives. Zbl 0911.30022Gundersen, Gary G.; Yang, Lian-Zhong 74 1998 The possible orders of solutions of linear differential equations with polynomial coefficients. Zbl 0893.34003Gundersen, Gary G.; Steinbart, Enid M.; Wang, Shupei 38 1998 Meromorphic solutions of \(f^6+ g^6+ h^6\equiv 1\). Zbl 0916.30028Gundersen, Gary G. 9 1998 Solutions of nonhomogeneous linear differential equations with exceptionally few zeros. Zbl 0923.34001Gundersen, Gary G.; Steinbart, Enid M.; Wang, Shupei 1 1998 Meromorphic functions that share pairs of values. Zbl 0908.30033Czubiak, Thomas P.; Gundersen, Gary G. 11 1997 Subnormal solutions of second order linear differential equations with periodic coefficients. Zbl 0804.34009Gundersen, Gary G.; Steinbart, Enid M. 8 1994 A generalization of the Airy integral for \(f''-z^ nf=0\). Zbl 0777.34006Gundersen, Gary G.; Steinbart, Enid M. 4 1993 Meromorphic functions that share three values \(IM\) and a fourth value \(CM\). Zbl 0773.30032Gundersen, Gary G. 17 1992 Finite order solutions of nonhomogeneous linear differential equations. Zbl 0765.34004Gundersen, Gary G.; Steinbart, Enid M. 9 1992 Existence of meromorphic solutions of algebraic differential equations. Zbl 0719.34010Gundersen, Gary G.; Laine, Ilpo 1 1990 The deficiencies of meromorphic solutions of certain algebraic differential equations. Zbl 0678.34008Gundersen, Gary G. 1 1989 Estimates for the logarithmic derivative of a meromorphic function, plus similar estimates. Zbl 0638.30030Gundersen, Gary G. 177 1988 Finite order solutions of second order linear differential equations. Zbl 0669.34010Gundersen, Gary G. 51 1988 Finite order solutions of second order linear differential equations. Zbl 0634.34004Gundersen, Gary G. 49 1988 Correction to “Meromorphic functions that share four values”. Zbl 0631.30028Gundersen, Gary G. 18 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 0598.34002Gundersen, Gary G. 33 1986 On the real zeros of solutions of \(f''+A(z)f=0\) where A(z) is entire. Zbl 0607.34007Gundersen, Gary G. 21 1986 On the meromorphic solutions of some algebraic differential equations. Zbl 0593.34014Gundersen, Gary G.; Laine, Ilpo 6 1985 On the preimage sets of entire functions. Zbl 0548.30024Gundersen, Gary G.; Yang, Chung-Chun 2 1984 Meromorphic functions that share four values. Zbl 0508.30029Gundersen, Gary G. 49 1983 Meromorphic functions that share two finite values with their derivative. Zbl 0497.30025Gundersen, Gary G. 33 1983 Meromorphic solutions of the Riccati differential equation. Zbl 0493.34007Bank, Steven B.; Gundersen, Gary G.; Laine, Ilpo 16 1981 When two entire functions and also their first derivatives have the same zeros. Zbl 0431.30015Gundersen, Gary G. 5 1981 Entire functions that share real zeros and real ones. Zbl 0442.30023Czubiak, Thomas P.; Gundersen, Gary G. 1 1981 Meromorphic functions that share finite values with their derivative. Zbl 0447.30018Gundersen, Gary G. 36 1980 Meromorphic functions that share three or four values. Zbl 0413.30025Gundersen, Gary G. 65 1979 Lower bounds for eigenvalues of self-adjoint problems. Zbl 0413.34032Gundersen, Gary G. 1 1979 Exponential operators from anharmonic oscillators. Zbl 0345.34014Gundersen, Gary G. 1 1978 A subclass of anharmonic oscillators whose eigenfunctions have no recurrence relations. Zbl 0314.34016Gundersen, Gary G. 2 1976 all cited Publications top 5 cited Publications 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 all top 5 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) Citations by Year