Edit Profile (opens in new tab) Brück, Rainer Compute Distance To: Compute Author ID: bruck.rainer Published as: Brück, Rainer; Brück, R. Documents Indexed: 32 Publications since 1984, including 6 Books 1 Further Contribution Co-Authors: 11 Co-Authors with 13 Joint Publications 289 Co-Co-Authors all top 5 Co-Authors 19 single-authored 4 Müller, Jürgen 3 Sharma, Ambikeshwar 2 Büger, Matthias 2 Varga, Richard Steven 1 Abbott, James C. 1 Bliss, Gilbert Ames 1 Brunner, Götz 1 Davis, Martin David 1 Davis, Philip J. 1 Frerick, Leonhard 1 Hale-La Salle 1 Hardy, Godfrey Harold 1 Henkin, Leon Albert 1 Hersh, Reuben 1 Jackson, Dunham 1 Kac, Mark 1 Lanczos, Cornelius 1 Lax, Peter David 1 Levinson, Norman 1 Mac Lane, Leslie Saunders 1 McShane, Edward James 1 Merzlyakov, Sergeĭ Georgievich 1 Meyer zu Bexten, Erdmuthe 1 Moraga, Claudio R. 1 Olds, C. D. 1 Reitz, Stefan 1 Render, Hermann 1 Trèves, François 1 Whyburn, Gordon Thomas 1 Zalcman, Lawrence Allen all top 5 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 all top 5 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 History and biography (01-XX) 1 Real functions (26-XX) 1 Biology and other natural sciences (92-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 20 Publications have been cited 183 times in 145 Documents Cited by ▼ Year ▼ On entire functions which share one value CM with their first derivative. Zbl 0861.30032Brück, Rainer 91 1996 Random iterations of polynomials of the form \(z^2+c_n\): Connectedness of Julia sets. Zbl 0942.37041Brück, Rainer; Büger, Matthias; Reitz, Stefan 19 1999 Geometric properties of Julia sets of the composition of polynomials of the form \(z^ 2+c_ n\). Zbl 1045.37030Brück, Rainer 17 2001 Generalized iteration. Zbl 1064.30018Brück, Rainer; Büger, Matthias 13 2003 Connectedness and stability of Julia sets of the composition of polynomials of the form \(z^ 2+c_ n\). Zbl 1033.37026Brück, Rainer 8 2000 Invertible elements in a convolution algebra of holomorphic functions. Zbl 0769.30002Brück, R.; Müller, J. 7 1992 Invertibility of holomorphic functions with respect to the Hadamard product. Zbl 1021.30004Brück, Rainer; Render, Hermann 7 2000 Lagrange interpolation in non-uniformly distributed nodes on the unit circle. Zbl 0854.30028Brück, Rainer 5 1996 Closed ideals in a convolution algebra of holomorphic functions. Zbl 0836.30002Brück, Rainer; Müller, Jürgen 3 1995 Holomorphic extensions of Whitney jets. Zbl 1043.46022Brück, Rainer; Frerick, Leonhard 3 2003 Uniqueness theorems for harmonic functions. Zbl 0661.31001Brück, Rainer 2 1988 An extension of a result of Cavaretta, Sharma and Varga on Walsh equiconvergence. Zbl 1075.41500Brück, Rainer 1 1998 The Chauvenet papers. A collection of prize-winning expository papers in mathematics. Vols. I and II. Zbl 0384.01013 1 1978 On the failure of Walsh’s equiconvergence theorem for Jordan domains. Zbl 0778.30038Brück, Rainer 1 1993 An extension of a result of Rivlin on Walsh equiconvergence. Zbl 0840.30024Brück, R.; Sharma, A.; Varga, R. S. 1 1994 An extension of a result of Rivlin of Walsh equiconvergence (Faber nodes). Zbl 0840.30025Brück, R.; Sharma, A.; Varga, R. S. 1 1994 Interpolation formulas for entire functions of exponential type and some applications. Zbl 0653.30020Brück, Rainer 1 1988 An extension of Carlson’s theorem for entire functions of exponential type. Zbl 0702.30026Brück, Rainer 1 1990 Identitätssätze für ganze Funktionen vom Exponentialtyp. Zbl 0552.30020Brück, Rainer 1 1984 Summability of sequences of polynomial interpolants in the roots of unity. Zbl 0725.30026Brück, Rainer 1 1991 Generalized iteration. Zbl 1064.30018Brück, Rainer; Büger, Matthias 13 2003 Holomorphic extensions of Whitney jets. Zbl 1043.46022Brück, Rainer; Frerick, Leonhard 3 2003 Geometric properties of Julia sets of the composition of polynomials of the form \(z^ 2+c_ n\). Zbl 1045.37030Brück, Rainer 17 2001 Connectedness and stability of Julia sets of the composition of polynomials of the form \(z^ 2+c_ n\). Zbl 1033.37026Brück, Rainer 8 2000 Invertibility of holomorphic functions with respect to the Hadamard product. Zbl 1021.30004Brück, Rainer; Render, Hermann 7 2000 Random iterations of polynomials of the form \(z^2+c_n\): Connectedness of Julia sets. Zbl 0942.37041Brück, Rainer; Büger, Matthias; Reitz, Stefan 19 1999 An extension of a result of Cavaretta, Sharma and Varga on Walsh equiconvergence. Zbl 1075.41500Brück, Rainer 1 1998 On entire functions which share one value CM with their first derivative. Zbl 0861.30032Brück, Rainer 91 1996 Lagrange interpolation in non-uniformly distributed nodes on the unit circle. Zbl 0854.30028Brück, Rainer 5 1996 Closed ideals in a convolution algebra of holomorphic functions. Zbl 0836.30002Brück, Rainer; Müller, Jürgen 3 1995 An extension of a result of Rivlin on Walsh equiconvergence. Zbl 0840.30024Brück, R.; Sharma, A.; Varga, R. S. 1 1994 An extension of a result of Rivlin of Walsh equiconvergence (Faber nodes). Zbl 0840.30025Brück, R.; Sharma, A.; Varga, R. S. 1 1994 On the failure of Walsh’s equiconvergence theorem for Jordan domains. Zbl 0778.30038Brück, Rainer 1 1993 Invertible elements in a convolution algebra of holomorphic functions. Zbl 0769.30002Brück, R.; Müller, J. 7 1992 Summability of sequences of polynomial interpolants in the roots of unity. Zbl 0725.30026Brück, Rainer 1 1991 An extension of Carlson’s theorem for entire functions of exponential type. Zbl 0702.30026Brück, Rainer 1 1990 Uniqueness theorems for harmonic functions. Zbl 0661.31001Brück, Rainer 2 1988 Interpolation formulas for entire functions of exponential type and some applications. Zbl 0653.30020Brück, Rainer 1 1988 Identitätssätze für ganze Funktionen vom Exponentialtyp. Zbl 0552.30020Brück, Rainer 1 1984 The Chauvenet papers. A collection of prize-winning expository papers in mathematics. Vols. I and II. Zbl 0384.01013 1 1978 all cited Publications top 5 cited Publications all top 5 Cited by 140 Authors 15 Yi, Hongxun 11 Sumi, Hiroki 10 Li, Xiaomin 7 Majumder, Sujoy 6 Waghamore, Harina Pandit 5 Alpan, Gökalp 5 Domański, Paweł 5 Lahiri, Indrajit 5 Langenbruch, Michael 5 Lu, Feng 4 Al-Khaladi, Amer Haider Hussein 4 Brück, Rainer 4 Comerford, Mark 4 Goncharov, Alexander P. 4 Laine, Ilpo 4 Wang, Jun 4 Zhang, Jilong 3 Ahamed, Molla Basir 3 Banerjee, Abhijit 3 Gao, Zongsheng 3 Liu, Huifang 3 Liu, Kai 3 Maligi, Ramya 3 Pal, Bipul 3 Pramanik, Dilip Chandra 3 Stankewitz, Rich 3 Wang, Jianping 3 Yang, Lianzhong 2 Chakraborty, Bikash 2 Chen, Ang 2 Chen, Chuangxin 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 Mandloi, Anita 2 Mao, Zhiqiang 2 Meng, Chao 2 Pathak, Anil Kumar 2 Qi, Xiaoguang 2 Roy, Kapil 2 Sarkar, Jeet 2 Urbański, Mariusz 2 Woodard, Todd 2 Xu, Junfeng 2 Zhang, Guowei 2 Zhang, Jie 1 Alghamdi, Azza M. 1 Alves, Alexandre Miranda 1 Bahadur, Swarnima 1 Bhoosnurmath, Subhas S. 1 Biswas, Manab 1 Boonen, Christelle 1 Büger, Matthias 1 Butera, Kelsey 1 Cao, Tingbin 1 Cao, Yin 1 Chang, Jianming 1 Chen, Minfeng 1 Das, Shubhashish 1 de Bruin, Marcel G. 1 Du, Jinyuan 1 Fang, Mingliang 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 He, Zhiying 1 Heittokangas, Janne M. 1 Huang, Zhibo 1 Jaerisch, Johannes 1 Kabbur, Smita R. 1 Kang, Haiyan 1 Klimek, Maciej 1 Korhonen, Risto 1 Kosek, Marta 1 Lech, Krzysztof 1 Li, Cuiping 1 Li, Yezhou 1 Lin, Weichuan 1 Liu, Hua 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 40 more Authors all top 5 Cited in 78 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 Arab Journal of Mathematical Sciences 3 Journal of Inequalities and Applications 3 Analysis (München) 3 Advances in Difference Equations 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 The Journal of Analysis 2 Matematychni Studiï 2 Acta Mathematica Sinica. English Series 2 Complex Variables and Elliptic Equations 2 Complex Analysis and Operator Theory 2 Analele Universității de Vest din Timișoara. Seria Matematică-Informatică 2 Tbilisi Mathematical Journal 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 Fundamenta Mathematicae 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 Rendiconti del Circolo Matemàtico di Palermo. Serie II 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 Journal of Mathematical Sciences (New York) 1 Georgian Mathematical Journal 1 Filomat 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 Discrete and Continuous Dynamical Systems. Series B 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 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 1 Journal of Applied Mathematics & Informatics 1 Palestine Journal of Mathematics 1 Journal of Classical Analysis 1 Electronic Journal of Mathematical Analysis and Applications EJMAA 1 International Journal of Analysis 1 Open Mathematics 1 Korean Journal of Mathematics 1 Bollettino dell’Unione Matematica Italiana 1 AIMS Mathematics 1 Advanced Studies: Euro-Tbilisi Mathematical Journal all top 5 Cited in 18 Fields 116 Functions of a complex variable (30-XX) 29 Dynamical systems and ergodic theory (37-XX) 18 Difference and functional equations (39-XX) 13 Ordinary differential equations (34-XX) 8 Functional analysis (46-XX) 6 Approximations and expansions (41-XX) 6 Operator theory (47-XX) 5 Real functions (26-XX) 5 Potential theory (31-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 Group theory and generalizations (20-XX) 2 Special functions (33-XX) 2 Partial differential equations (35-XX) 1 Number theory (11-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year