# zbMATH — the first resource for mathematics

## Ishizaki, Katsuya

Compute Distance To:
 Author ID: ishizaki.katsuya Published as: Ishizaki, K.; Ishizaki, Katsuya
 Documents Indexed: 52 Publications since 1989 Reviewing Activity: 162 Reviews
all top 5

#### Co-Authors

 25 single-authored 9 Yanagihara, Niro 6 Tohge, Kazuya 5 Laine, Ilpo 3 Heittokangas, Janne 2 Bergweiler, Walter 2 Kimura, Naofumi 2 Shimomura, Shun 2 Toda, Nobushige 2 Wen, Zhitao 1 Fujita, Kenji 1 Gundersen, Gary G. 1 Hinkkanen, Aimo 1 Korhonen, Risto 1 Li, Kin-Yin 1 Lin, Weichuan 1 Morosawa, Shunsuke 1 Nanagihara, Niro 1 Wang, Yuefei 1 Yakou, Mitsunori
all top 5

#### Serials

 3 Journal of Mathematical Analysis and Applications 3 Archiv der Mathematik 3 Proceedings of the Japan Academy. Series A 3 Complex Variables. Theory and Application 3 Aequationes Mathematicae 3 Computational Methods and Function Theory 2 Kodai Mathematical Journal 2 Nagoya Mathematical Journal 2 Results in Mathematics 2 Tohoku Mathematical Journal. Second Series 2 Journal of the Australian Mathematical Society 2 Complex Variables and Elliptic Equations 1 Israel Journal of Mathematics 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Bulletin of the Calcutta Mathematical Society 1 Funkcialaj Ekvacioj. Serio Internacia 1 Hokkaido Mathematical Journal 1 Journal of Differential Equations 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Tokyo Journal of Mathematics 1 Transactions of the American Mathematical Society 1 Constructive Approximation 1 Journal of the Australian Mathematical Society. Series A 1 Methods and Applications of Analysis 1 Annales Academiae Scientiarum Fennicae. Mathematica 1 The Bulletin of the Hong Kong Mathematical Society 1 RIMS Kokyuroku 1 Nihonkai Mathematical Journal
all top 5

#### Fields

 44 Functions of a complex variable (30-XX) 23 Ordinary differential equations (34-XX) 14 Difference and functional equations (39-XX) 3 Dynamical systems and ergodic theory (37-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Special functions (33-XX)

#### Citations contained in zbMATH

34 Publications have been cited 195 times in 144 Documents Cited by Year
Wiman-Valiron method for difference equations. Zbl 1070.39002
Ishizaki, K.; Yanagihara, N.
2004
Meromorphic solutions of some functional equations. Zbl 0924.39017
Bergweiler, Walter; Ishizaki, Katsuya; Yanagihara, Niro
1998
Growth of meromorphic solutions of some functional equations I. Zbl 1009.39022
Bergweiler, Walter; Ishizaki, Katsuya; Yanagihara, Niro
2002
On the complex oscillation of some linear differential equations. Zbl 0877.34009
Ishizaki, Katsuya; Tohge, Kazuya
1997
On difference Riccati equations and second order linear difference equations. Zbl 1215.39021
Ishizaki, Katsuya
2011
Hypertranscendency of meromorphic solutions of a linear functional equation. Zbl 0932.39020
Ishizaki, Katsuya
1998
Borel and Julia directions of meromorphic Schröder functions. Zbl 1076.30034
Ishizaki, Katsuya; Yanagihara, Niro
2005
A note on the functional equation $$f^{n}+g^{n}+h^{n}$$=1 and some complex differential equations. Zbl 1038.30016
Ishizaki, Katsuya
2002
Unicity theorems for meromorphic functions sharing four small functions. Zbl 0946.30019
Ishizaki, Katsuya; Toda, Nobushige
1998
An oscillation result for a certain linear differential equation of second order. Zbl 0885.34003
Ishizaki, Katsuya
1997
On admissible solutions of algebraic differential equations. Zbl 0849.34006
Ishizaki, Katsuya; Yanagihara, Niro
1995
Admissible solutions of the Schwarzian differential equation. Zbl 0733.34009
Ishizaki, Katsuya
1991
Zero distribution and division results for exponential polynomials. Zbl 1412.30113
Heittokangas, Janne; Ishizaki, Katsuya; Tohge, Kazuya; Wen, Zhi-Tao
2018
Borel and Julia directions of meromorphic Schröder functions. II. Zbl 1106.30012
Ishizaki, K.; Yanagihara, N.
2006
Riccati differential equations with elliptic coefficients. Zbl 0954.34076
Ishizaki, Katsuya; Laine, Ilpo; Shimomura, Shun; Tohge, Kazuya
2000
On a conjecture of Gackstatter and Laine on some differential equations. Zbl 0747.30020
Ishizaki, Katsuya
1991
Some remarks on results of Mues about deficiency sums of derivatives. Zbl 0698.30029
Ishizaki, Katsuya
1990
Meromorphic solutions of algebraic difference equations. Zbl 1402.39008
Ishizaki, Katsuya; Korhonen, Risto
2018
Meromorphic solutions of difference Riccati equations. Zbl 1370.39009
Ishizaki, Katsuya
2017
Deficiency for meromorphic solutions of Schröder equations. Zbl 1099.30012
Ishizaki, Katsuya; Yanagihara, Niro
2004
Riccati differential equations with elliptic coefficients. II. Zbl 1088.34074
Ishizaki, Katsuya; Laine, Ilpo; Shimomura, Shun; Tohge, Kazuya
2003
Meromorphic functions sharing small functions. Zbl 1093.30027
Ishizaki, Katsuya
2001
Meromorphic solutions of some second order differential equations. Zbl 0798.34005
Ishizaki, Katsuya
1993
Admissible solutions of second order differential equations. Zbl 0764.34002
Ishizaki, Katsuya
1992
Complex oscillation and nonoscillation results. Zbl 1429.34087
Heittokangas, Janne; Ishizaki, Katsuya; Laine, Ilpo; Tohge, Kazuya
2019
Entire and meromorphic solutions of the functional equation $$f^n+g^n+h^n=1$$ and differential equations. Zbl 1419.30019
Ishizaki, Katsuya; Kimura, Naofumi
2019
Transcendental meromorphic solutions of some algebraic differential equations. Zbl 1147.34063
Ishizaki, Katsuya; Toda, Nobushige
2007
Value distribution theory and its applications for some linear functional equations. Zbl 1062.39021
Ishizaki, Katsuya
2004
A note on factorization of the Weierstrass PE-function. Zbl 1284.30018
Ishizaki, Katsuya
2003
Uniqueness problems on meromorphic functions which share four small functions. Zbl 1093.30503
Ishizaki, Katsuya
2000
On the complex oscillation of linear differential equations of third order. Zbl 0821.34008
Ishizaki, Katsuya
1994
A third order differential equation and representable poles. Zbl 0957.34503
Ishizaki, Katsuya
1993
Deficient and ramified small functions for admissible meromorphic solutions of some differential equations. Zbl 0652.34012
Ishizaki, Katsuya
1990
On some generalizations of theorems of Toda and Weißenborn to differential polynomials. Zbl 0672.30029
Ishizaki, Katsuya
1989
Complex oscillation and nonoscillation results. Zbl 1429.34087
Heittokangas, Janne; Ishizaki, Katsuya; Laine, Ilpo; Tohge, Kazuya
2019
Entire and meromorphic solutions of the functional equation $$f^n+g^n+h^n=1$$ and differential equations. Zbl 1419.30019
Ishizaki, Katsuya; Kimura, Naofumi
2019
Zero distribution and division results for exponential polynomials. Zbl 1412.30113
Heittokangas, Janne; Ishizaki, Katsuya; Tohge, Kazuya; Wen, Zhi-Tao
2018
Meromorphic solutions of algebraic difference equations. Zbl 1402.39008
Ishizaki, Katsuya; Korhonen, Risto
2018
Meromorphic solutions of difference Riccati equations. Zbl 1370.39009
Ishizaki, Katsuya
2017
On difference Riccati equations and second order linear difference equations. Zbl 1215.39021
Ishizaki, Katsuya
2011
Transcendental meromorphic solutions of some algebraic differential equations. Zbl 1147.34063
Ishizaki, Katsuya; Toda, Nobushige
2007
Borel and Julia directions of meromorphic Schröder functions. II. Zbl 1106.30012
Ishizaki, K.; Yanagihara, N.
2006
Borel and Julia directions of meromorphic Schröder functions. Zbl 1076.30034
Ishizaki, Katsuya; Yanagihara, Niro
2005
Wiman-Valiron method for difference equations. Zbl 1070.39002
Ishizaki, K.; Yanagihara, N.
2004
Deficiency for meromorphic solutions of Schröder equations. Zbl 1099.30012
Ishizaki, Katsuya; Yanagihara, Niro
2004
Value distribution theory and its applications for some linear functional equations. Zbl 1062.39021
Ishizaki, Katsuya
2004
Riccati differential equations with elliptic coefficients. II. Zbl 1088.34074
Ishizaki, Katsuya; Laine, Ilpo; Shimomura, Shun; Tohge, Kazuya
2003
A note on factorization of the Weierstrass PE-function. Zbl 1284.30018
Ishizaki, Katsuya
2003
Growth of meromorphic solutions of some functional equations I. Zbl 1009.39022
Bergweiler, Walter; Ishizaki, Katsuya; Yanagihara, Niro
2002
A note on the functional equation $$f^{n}+g^{n}+h^{n}$$=1 and some complex differential equations. Zbl 1038.30016
Ishizaki, Katsuya
2002
Meromorphic functions sharing small functions. Zbl 1093.30027
Ishizaki, Katsuya
2001
Riccati differential equations with elliptic coefficients. Zbl 0954.34076
Ishizaki, Katsuya; Laine, Ilpo; Shimomura, Shun; Tohge, Kazuya
2000
Uniqueness problems on meromorphic functions which share four small functions. Zbl 1093.30503
Ishizaki, Katsuya
2000
Meromorphic solutions of some functional equations. Zbl 0924.39017
Bergweiler, Walter; Ishizaki, Katsuya; Yanagihara, Niro
1998
Hypertranscendency of meromorphic solutions of a linear functional equation. Zbl 0932.39020
Ishizaki, Katsuya
1998
Unicity theorems for meromorphic functions sharing four small functions. Zbl 0946.30019
Ishizaki, Katsuya; Toda, Nobushige
1998
On the complex oscillation of some linear differential equations. Zbl 0877.34009
Ishizaki, Katsuya; Tohge, Kazuya
1997
An oscillation result for a certain linear differential equation of second order. Zbl 0885.34003
Ishizaki, Katsuya
1997
On admissible solutions of algebraic differential equations. Zbl 0849.34006
Ishizaki, Katsuya; Yanagihara, Niro
1995
On the complex oscillation of linear differential equations of third order. Zbl 0821.34008
Ishizaki, Katsuya
1994
Meromorphic solutions of some second order differential equations. Zbl 0798.34005
Ishizaki, Katsuya
1993
A third order differential equation and representable poles. Zbl 0957.34503
Ishizaki, Katsuya
1993
Admissible solutions of second order differential equations. Zbl 0764.34002
Ishizaki, Katsuya
1992
Admissible solutions of the Schwarzian differential equation. Zbl 0733.34009
Ishizaki, Katsuya
1991
On a conjecture of Gackstatter and Laine on some differential equations. Zbl 0747.30020
Ishizaki, Katsuya
1991
Some remarks on results of Mues about deficiency sums of derivatives. Zbl 0698.30029
Ishizaki, Katsuya
1990
Deficient and ramified small functions for admissible meromorphic solutions of some differential equations. Zbl 0652.34012
Ishizaki, Katsuya
1990
On some generalizations of theorems of Toda and Weißenborn to differential polynomials. Zbl 0672.30029
Ishizaki, Katsuya
1989
all top 5

#### Cited by 157 Authors

 17 Ishizaki, Katsuya 15 Chen, Zongxuan 10 Li, Xiaomin 10 Xu, Hongyan 10 Yi, Hongxun 6 Liu, Yong 6 Zheng, Xiumin 5 Korhonen, Risto 5 Shon, Kwangho 5 Tohge, Kazuya 5 Wen, Zhitao 4 Heittokangas, Janne 4 Huang, Zhibo 4 Sezer, Mehmet 3 Chiang, Yik-Man 3 Feng, Shaoji 3 Gülsu, Mustafa 3 Gundersen, Gary G. 3 Hardouin, Charlotte 3 Laine, Ilpo 3 Langley, James K. 3 Liao, Liangwen 3 Qi, Jianming 3 Tu, Jin 3 Wang, Hua 3 Ye, Zhuan 3 Yüzbaşı, Şuayip 3 Zhang, Guowei 2 Chen, Baoqin 2 Gao, Lingyun 2 Gao, Zongsheng 2 Hu, Peichu 2 Kang, Cong-Yun 2 Kimura, Naofumi 2 Lan, Shuangting 2 Li, Sheng 2 Li, Wenli 2 Liu, Bingxiang 2 Liu, Huifang 2 Liu, Sanyang 2 Long, Jianren 2 Mao, Zhiqiang 2 Şahin, Niyazi 2 Shimomura, Shun 2 Singer, Michael F. 2 Tanay, Bekir 2 Wang, Qiong 2 Xu, Junfeng 2 Xuan, Zuxing 2 Yanagihara, Niro 2 Zhang, Ranran 2 Zhang, Yueyang 1 Alipour, Sahar 1 Annaby, Mahmoud H. 1 Bergweiler, Walter 1 Bourourou, S. 1 Bousquet-Mélou, Mireille 1 Boutabaa, Abdelbaki 1 Chen, Junjie 1 Chen, Minfeng 1 Chen, Wei 1 Cheng, Kam Hang 1 Derfel, Gregory 1 Di Vizio, Lucia 1 Ding, Jie 1 Dreyfus, Thomas 1 Fang, Mingliang 1 Giang, Ha Huong 1 Grabner, Peter J. 1 Guillot, Adolfo 1 Hai, Tran An 1 Hao, Chen-Shuang 1 Hayman, Walter Kurt 1 Hien, Nguyen Thi Thanh 1 Huang, Huawei 1 Huang, Yong 1 Huang, Zhigang 1 Ismail, Mourad El-Houssieny 1 Jiang, Yangyang 1 Jiang, Yeyang 1 Katajamäki, Kari 1 Lahiri, Indrajit 1 Li, Ping 1 Li, Qian 1 Li, Qiaoping 1 Liang, Daiwei 1 Lin, Weichuan 1 Ling, Qiu 1 Liu, Kai 1 Liu, Yanxia 1 Lu, Feng 1 Lu, Nan 1 Lu, Weiran 1 Luo, Xudan 1 Ma, Lei 1 Mansour, Zeinab S. I. 1 Mansour, Zeinab Si 1 Meng, Dawei 1 Mirzaee, Farshid 1 Morosawa, Shunsuke ...and 57 more Authors
all top 5

#### Cited in 61 Serials

 21 Advances in Difference Equations 17 Journal of Mathematical Analysis and Applications 10 Computational Methods and Function Theory 7 Abstract and Applied Analysis 6 Proceedings of the Japan Academy. Series A 6 Complex Variables and Elliptic Equations 4 Acta Mathematica Sinica. English Series 4 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 3 Transactions of the American Mathematical Society 3 Bulletin of the Korean Mathematical Society 2 Rocky Mountain Journal of Mathematics 2 Applied Mathematics and Computation 2 Archiv der Mathematik 2 Journal of Differential Equations 2 Proceedings of the American Mathematical Society 2 Results in Mathematics 2 Tohoku Mathematical Journal. Second Series 2 Constructive Approximation 2 Aequationes Mathematicae 2 Annales Academiae Scientiarum Fennicae. Mathematica 2 Discrete Dynamics in Nature and Society 2 Mediterranean Journal of Mathematics 1 Israel Journal of Mathematics 1 Mathematical Methods in the Applied Sciences 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Ukrainian Mathematical Journal 1 Czechoslovak Mathematical Journal 1 Fasciculi Mathematici 1 Journal of Approximation Theory 1 Journal of Combinatorial Theory. Series A 1 Kodai Mathematical Journal 1 Kyungpook Mathematical Journal 1 Mathematische Annalen 1 Mathematische Nachrichten 1 Monatshefte für Mathematik 1 Nagoya Mathematical Journal 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Theoretical Computer Science 1 Advances in Applied Mathematics 1 Bulletin of the Iranian Mathematical Society 1 Acta Mathematicae Applicatae Sinica. English Series 1 Numerical Methods for Partial Differential Equations 1 Science in China. Series A 1 Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences 1 Indagationes Mathematicae. New Series 1 Applied Mathematics. Series B (English Edition) 1 Bulletin of the Belgian Mathematical Society - Simon Stevin 1 Journal of Difference Equations and Applications 1 The Ramanujan Journal 1 Journal of Inequalities and Applications 1 Journal of Nonlinear Mathematical Physics 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Journal of Numerical Mathematics 1 Journal of Applied Mathematics and Computing 1 Journal of the Institute of Mathematics of Jussieu 1 Differential Equations and Applications 1 Science China. Mathematics 1 S$$\vec{\text{e}}$$MA Journal 1 Journal of Complex Analysis 1 Journal of Function Spaces 1 Open Mathematics
all top 5

#### Cited in 17 Fields

 115 Functions of a complex variable (30-XX) 68 Difference and functional equations (39-XX) 33 Ordinary differential equations (34-XX) 8 Special functions (33-XX) 7 Numerical analysis (65-XX) 4 Field theory and polynomials (12-XX) 3 Several complex variables and analytic spaces (32-XX) 3 Partial differential equations (35-XX) 2 Number theory (11-XX) 2 Dynamical systems and ergodic theory (37-XX) 1 Combinatorics (05-XX) 1 Group theory and generalizations (20-XX) 1 Approximations and expansions (41-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Functional analysis (46-XX) 1 Operator theory (47-XX) 1 Computer science (68-XX)