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## Brück, Rainer

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 Author ID: bruck.rainer Published as: Brück, R.; Brück, Rainer
 Documents Indexed: 32 Publications since 1984, including 6 Books
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#### Co-Authors

 19 single-authored 4 Müller, Jürgen 3 Sharma, Ambikeshwar 2 Büger, Matthias 2 Varga, Richard Steven 1 Brunner, Götz 1 Frerick, Leonhard 1 Merzlyakov, Sergeĭ Georgievich 1 Meyer zu Bexten, Erdmuthe 1 Moraga, Claudio R. 1 Reitz, Stefan 1 Render, Hermann
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#### Serials

 4 Complex Variables. Theory and Application 4 Analysis 2 Journal of Mathematical Analysis and Applications 2 Results in Mathematics 1 Archiv der Mathematik 1 Canadian Journal of Mathematics 1 Journal of Approximation Theory 1 The Journal of the Indian Mathematical Society. New Series 1 Journal of the London Mathematical Society. Second Series 1 Mathematische Annalen 1 Pacific Journal of Mathematics 1 Ergodic Theory and Dynamical Systems 1 Acta Mathematica Hungarica 1 Methods and Applications of Analysis 1 Computational Methods and Function Theory
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#### Fields

 28 Functions of a complex variable (30-XX) 4 Dynamical systems and ergodic theory (37-XX) 4 Approximations and expansions (41-XX) 3 Sequences, series, summability (40-XX) 3 Functional analysis (46-XX) 2 General and overarching topics; collections (00-XX) 2 Potential theory (31-XX) 1 Real functions (26-XX) 1 Biology and other natural sciences (92-XX)

#### Citations contained in zbMATH Open

19 Publications have been cited 172 times in 138 Documents Cited by Year
On entire functions which share one value CM with their first derivative. Zbl 0861.30032
Brück, Rainer
1996
Random iterations of polynomials of the form $$z^2+c_n$$: Connectedness of Julia sets. Zbl 0942.37041
Brück, Rainer; Büger, Matthias; Reitz, Stefan
1999
Geometric properties of Julia sets of the composition of polynomials of the form $$z^ 2+c_ n$$. Zbl 1045.37030
Brück, Rainer
2001
Generalized iteration. Zbl 1064.30018
Brück, Rainer; Büger, Matthias
2003
Invertibility of holomorphic functions with respect to the Hadamard product. Zbl 1021.30004
Brück, Rainer; Render, Hermann
2000
Connectedness and stability of Julia sets of the composition of polynomials of the form $$z^ 2+c_ n$$. Zbl 1033.37026
Brück, Rainer
2000
Invertible elements in a convolution algebra of holomorphic functions. Zbl 0769.30002
Brück, R.; Müller, J.
1992
Lagrange interpolation in non-uniformly distributed nodes on the unit circle. Zbl 0854.30028
Brück, Rainer
1996
Holomorphic extensions of Whitney jets. Zbl 1043.46022
Brück, Rainer; Frerick, Leonhard
2003
Closed ideals in a convolution algebra of holomorphic functions. Zbl 0836.30002
Brück, Rainer; Müller, Jürgen
1995
Uniqueness theorems for harmonic functions. Zbl 0661.31001
Brück, Rainer
1988
An extension of a result of Cavaretta, Sharma and Varga on Walsh equiconvergence. Zbl 1075.41500
Brück, Rainer
1998
An extension of a result of Rivlin on Walsh equiconvergence. Zbl 0840.30024
Brück, R.; Sharma, A.; Varga, R. S.
1994
An extension of a result of Rivlin of Walsh equiconvergence (Faber nodes). Zbl 0840.30025
Brück, R.; Sharma, A.; Varga, R. S.
1994
On the failure of Walsh’s equiconvergence theorem for Jordan domains. Zbl 0778.30038
Brück, Rainer
1993
Summability of sequences of polynomial interpolants in the roots of unity. Zbl 0725.30026
Brück, Rainer
1991
An extension of Carlson’s theorem for entire functions of exponential type. Zbl 0702.30026
Brück, Rainer
1990
Interpolation formulas for entire functions of exponential type and some applications. Zbl 0653.30020
Brück, Rainer
1988
Identitätssätze für ganze Funktionen vom Exponentialtyp. Zbl 0552.30020
Brück, Rainer
1984
Generalized iteration. Zbl 1064.30018
Brück, Rainer; Büger, Matthias
2003
Holomorphic extensions of Whitney jets. Zbl 1043.46022
Brück, Rainer; Frerick, Leonhard
2003
Geometric properties of Julia sets of the composition of polynomials of the form $$z^ 2+c_ n$$. Zbl 1045.37030
Brück, Rainer
2001
Invertibility of holomorphic functions with respect to the Hadamard product. Zbl 1021.30004
Brück, Rainer; Render, Hermann
2000
Connectedness and stability of Julia sets of the composition of polynomials of the form $$z^ 2+c_ n$$. Zbl 1033.37026
Brück, Rainer
2000
Random iterations of polynomials of the form $$z^2+c_n$$: Connectedness of Julia sets. Zbl 0942.37041
Brück, Rainer; Büger, Matthias; Reitz, Stefan
1999
An extension of a result of Cavaretta, Sharma and Varga on Walsh equiconvergence. Zbl 1075.41500
Brück, Rainer
1998
On entire functions which share one value CM with their first derivative. Zbl 0861.30032
Brück, Rainer
1996
Lagrange interpolation in non-uniformly distributed nodes on the unit circle. Zbl 0854.30028
Brück, Rainer
1996
Closed ideals in a convolution algebra of holomorphic functions. Zbl 0836.30002
Brück, Rainer; Müller, Jürgen
1995
An extension of a result of Rivlin on Walsh equiconvergence. Zbl 0840.30024
Brück, R.; Sharma, A.; Varga, R. S.
1994
An extension of a result of Rivlin of Walsh equiconvergence (Faber nodes). Zbl 0840.30025
Brück, R.; Sharma, A.; Varga, R. S.
1994
On the failure of Walsh’s equiconvergence theorem for Jordan domains. Zbl 0778.30038
Brück, Rainer
1993
Invertible elements in a convolution algebra of holomorphic functions. Zbl 0769.30002
Brück, R.; Müller, J.
1992
Summability of sequences of polynomial interpolants in the roots of unity. Zbl 0725.30026
Brück, Rainer
1991
An extension of Carlson’s theorem for entire functions of exponential type. Zbl 0702.30026
Brück, Rainer
1990
Uniqueness theorems for harmonic functions. Zbl 0661.31001
Brück, Rainer
1988
Interpolation formulas for entire functions of exponential type and some applications. Zbl 0653.30020
Brück, Rainer
1988
Identitätssätze für ganze Funktionen vom Exponentialtyp. Zbl 0552.30020
Brück, Rainer
1984
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#### Cited by 141 Authors

 15 Yi, Hongxun 11 Sumi, Hiroki 10 Li, Xiaomin 6 Alpan, Gökalp 6 Lahiri, Indrajit 6 Majumder, Sujoy 5 Domański, Pawel Jan 5 Langenbruch, Michael 5 Waghamore, Harina Pandit 4 Al-Khaladi, Amer Haider Hussein 4 Banerjee, Abhijit 4 Brück, Rainer 4 Comerford, Mark 4 Goncharov, Alexander P. 4 Laine, Ilpo 4 Lu, Feng 4 Meng, Chao 4 Pal, Bipul 4 Wang, Jun 4 Yang, Lianzhong 4 Zhang, Jilong 3 Ahamed, Molla Basir 3 Gao, Zongsheng 3 Liu, Huifang 3 Liu, Kai 3 Stankewitz, Rich 3 Wang, Jianping 2 Chakraborty, Bikash 2 Chen, Ang 2 Chen, Zongxuan 2 Dam, Arup 2 Dong, Xianjing 2 Frerick, Leonhard 2 Kang, Cong-Yun 2 Li, Sheng 2 Liao, Liangwen 2 Liu, Yong 2 Maligi, Ramya 2 Mandloi, Anita 2 Mao, Zhiqiang 2 Pathak, Anil Kumar 2 Pramanik, Dilip Chandra 2 Qi, Xiaoguang 2 Urbański, Mariusz 2 Woodard, Todd 2 Xu, Junfeng 2 Yang, Lian-Zhong 2 Zhang, Guowei 1 Alghamdi, Azza 1 Anand, Sangeetha 1 Bhoosnurmath, Subhas S. 1 Biswas, G. P. 1 Biswas, Manab 1 Boonen, Christelle 1 Büger, Matthias 1 Butera, Kelsey 1 Cao, Tingbin 1 Cao, Yin 1 Chang, Jianming 1 Chen, Chuangxin 1 Chen, Minfeng 1 Das, Shubhashish 1 de Bruin, Marcel G. 1 Du, Jinyuan 1 Frappier, Clément 1 Fried, David 1 Gao, Cunchen 1 Gong, Zhimin 1 Gundersen, Gary G. 1 Halder, Samar 1 Han, Qi 1 Hatinoğlu, Burak 1 Heittokangas, Janne 1 Jaerisch, Johannes 1 Kabbur, Smita R. 1 Kang, Haiyan 1 Klimek, Maciej 1 Korhonen, Risto 1 Kosek, Marta 1 Li, Cuiping 1 Li, Yezhou 1 Lin, Weichuan 1 Liu, Gang 1 Liu, Gang 1 Liu, Gang 1 Liu, Gang 1 Liu, Hua 1 Liu, Kai 1 Liu, Kai 1 Loosveldt, Laurent 1 Lorson, Tobias 1 Lu, Weiran 1 Luo, Xudan 1 Mandal, Rajib 1 Marotta, Sebastian M. 1 Modi, Geeta 1 Müller, Jürgen 1 Naveenkumar, S. H. 1 Qiu, Weiyuan 1 Radulescu, Anca ...and 41 more Authors
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#### Cited in 71 Serials

 14 Journal of Mathematical Analysis and Applications 9 Results in Mathematics 6 Archiv der Mathematik 6 Computational Methods and Function Theory 4 Computers & Mathematics with Applications 4 Advances in Mathematics 3 Journal of Approximation Theory 3 Ergodic Theory and Dynamical Systems 3 Journal of Difference Equations and Applications 3 Journal of Inequalities and Applications 3 Analysis (München) 3 Advances in Difference Equations 3 Tbilisi Mathematical Journal 2 Bulletin of the Australian Mathematical Society 2 Acta Mathematica Vietnamica 2 Kodai Mathematical Journal 2 Proceedings of the Japan Academy. Series A 2 Quaestiones Mathematicae 2 Transactions of the American Mathematical Society 2 Acta Mathematica Hungarica 2 Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences 2 Arab Journal of Mathematical Sciences 2 Matematychni Studiï 2 Acta Mathematica Sinica. English Series 2 Complex Variables and Elliptic Equations 2 Complex Analysis and Operator Theory 2 Journal of Applied Mathematics & Informatics 2 Electronic Journal of Mathematical Analysis and Applications EJMAA 1 Communications in Mathematical Physics 1 Journal d’Analyse Mathématique 1 Nonlinearity 1 Rocky Mountain Journal of Mathematics 1 Studia Mathematica 1 Applied Mathematics and Computation 1 Czechoslovak Mathematical Journal 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 Journal of Number Theory 1 Mathematica Slovaca 1 Michigan Mathematical Journal 1 Monatshefte für Mathematik 1 Proceedings of the American Mathematical Society 1 Acta Mathematicae Applicatae Sinica. English Series 1 Science in China. Series A 1 Numerical Algorithms 1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 1 Journal of Nonlinear Science 1 Experimental Mathematics 1 The Journal of Analysis 1 Journal of Mathematical Sciences (New York) 1 Georgian Mathematical Journal 1 Complexity 1 Discrete and Continuous Dynamical Systems 1 Annales Academiae Scientiarum Fennicae. Mathematica 1 Abstract and Applied Analysis 1 Taiwanese Journal of Mathematics 1 Communications of the Korean Mathematical Society 1 Applied Mathematics E-Notes 1 Journal of Mathematical Inequalities 1 Discrete and Continuous Dynamical Systems. Series S 1 Bulletin of Mathematical Analysis and Applications 1 Science China. Mathematics 1 Advances in Pure and Applied Mathematics 1 Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica 1 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 1 Journal of Classical Analysis 1 International Journal of Analysis 1 Korean Journal of Mathematics 1 Bollettino dell’Unione Matematica Italiana
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#### Cited in 18 Fields

 111 Functions of a complex variable (30-XX) 26 Dynamical systems and ergodic theory (37-XX) 16 Difference and functional equations (39-XX) 11 Ordinary differential equations (34-XX) 8 Functional analysis (46-XX) 6 Operator theory (47-XX) 5 Real functions (26-XX) 5 Potential theory (31-XX) 5 Approximations and expansions (41-XX) 5 Harmonic analysis on Euclidean spaces (42-XX) 4 Integral transforms, operational calculus (44-XX) 3 Several complex variables and analytic spaces (32-XX) 3 Integral equations (45-XX) 2 Number theory (11-XX) 2 Group theory and generalizations (20-XX) 2 Special functions (33-XX) 2 Partial differential equations (35-XX) 1 Information and communication theory, circuits (94-XX)