# zbMATH — the first resource for mathematics

## Aharonov, Dov

Compute Distance To:
 Author ID: aharonov.dov Published as: Aharonov, D.; Aharonov, Dov Homepage: http://www.math.technion.ac.il/Site/computing/services/staff-card.php?id=674 External Links: Math-Net.Ru · ResearchGate · dblp · GND
 Documents Indexed: 64 Publications since 1968, including 1 Book Reviewing Activity: 100 Reviews Biographic References: 1 Publication
all top 5

#### Co-Authors

 22 single-authored 14 Elias, Uri 7 Shapiro, Harold Seymour 4 Kirwan, William E. 3 Shoikhet, David 3 Solynin, Alexander Yu. 2 Elin, Mark 2 Friedland, Shmuel 2 Hayman, Walter Kurt 2 Reich, Simeon 2 Srebro, Uri 2 Walsh, Joseph Leonard 1 Atzmon, Aharon 1 Beardon, Alan Frank 1 Bénéteau, Catherine 1 Bohner, Martin J. 1 Bshouty, Daoud H. 1 Devaney, Robert L. 1 Driver, Kathy A. 1 Khavinson, Dmitry S. 1 Lavie, Meira 1 Levin, A. S. 1 Pommerenke, Christian 1 Schiffer, Menahem Max 1 Shields, Allen L. 1 Stephenson, Kenneth 1 Zalcman, Lawrence Allen
all top 5

#### Serials

 5 Journal d’Analyse Mathématique 5 Transactions of the American Mathematical Society 4 Israel Journal of Mathematics 4 Journal of Mathematical Analysis and Applications 3 Duke Mathematical Journal 3 Journal of the London Mathematical Society. Second Series 3 Complex Variables. Theory and Application 2 American Mathematical Monthly 2 Mathematical Proceedings of the Cambridge Philosophical Society 2 Canadian Mathematical Bulletin 2 Ergodic Theory and Dynamical Systems 2 Mathematical Inequalities & Applications 2 Computational Methods and Function Theory 2 Annales Academiae Scientiarum Fennicae. Series A I 1 Annales Academiae Scientiarum Fennicae. Series A I. Mathematica 1 Canadian Journal of Mathematics 1 Illinois Journal of Mathematics 1 Indiana University Mathematics Journal 1 Mathematische Zeitschrift 1 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 1 Bulletin of the American Mathematical Society. New Series 1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 1 The Journal of Analysis 1 St. Petersburg Mathematical Journal 1 Journal of Difference Equations and Applications 1 Mathematical Proceedings of the Royal Irish Academy 1 Bulletin of the American Mathematical Society 1 Complex Analysis and Operator Theory 1 Analysis and Mathematical Physics
all top 5

#### Fields

 39 Functions of a complex variable (30-XX) 7 Potential theory (31-XX) 4 Ordinary differential equations (34-XX) 3 Real functions (26-XX) 3 Several complex variables and analytic spaces (32-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 Functional analysis (46-XX) 2 Combinatorics (05-XX) 2 Number theory (11-XX) 2 Special functions (33-XX) 2 Operator theory (47-XX) 2 Convex and discrete geometry (52-XX) 1 History and biography (01-XX) 1 Difference and functional equations (39-XX) 1 Approximations and expansions (41-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Geometry (51-XX) 1 General topology (54-XX) 1 Manifolds and cell complexes (57-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Relativity and gravitational theory (83-XX)

#### Citations contained in zbMATH Open

42 Publications have been cited 296 times in 260 Documents Cited by Year
Domains on which analytic functions satisfy quadrature identities. Zbl 0337.30029
Aharonov, Dov; Shapiro, Harold S.
1976
Parametric representations of semi-complete vector fields on the unit balls in $$\mathbb{C}^ n$$ and in Hilbert space. Zbl 1036.32017
Aharonov, Dov; Elin, Mark; Reich, Simeon; Shoikhet, David
1999
On an inequality connected with the coefficient conjecture for functions of bounded boundary rotation. Zbl 0257.30012
Aharonov, D.; Friedland, S.
1973
Potato Kugel. Zbl 0496.31006
Aharonov, Dov; Schiffer, M. M.; Zalcman, Lawrence
1981
Flow invariance conditions for holomorphic mappings in Banach spaces. Zbl 0947.46033
Aharonov, Dov; Reich, Simeon; Shoikhet, David
1999
A necessary and sufficient condition for univalence of a meromorphic function. Zbl 0177.33601
Aharonov, D.
1969
Fibonacci, Chebyshev, and orthogonal polynomials. Zbl 1138.11308
Aharonov, Dov; Beardon, Alan; Driver, Kathy
2005
Spiral-like functions with respect to a boundary point. Zbl 1018.30005
Aharonov, Dov; Elin, Mark; Shoikhet, David
2003
A minimal area problem in conformal mapping. Zbl 0932.30021
Aharonov, Dov; Shapiro, Harold S.; Solynin, Alexander Yu.
1999
The hexagonal packing lemma and discrete potential theory. Zbl 0702.30008
Aharonov, Dov
1990
Extremal problems for nonvanishing functions in Bergman spaces. Zbl 1089.30032
Aharonov, Dov; Bénéteau, Catherine; Khavinson, Dmitry; Shapiro, Harold
2005
The dynamics of a piecewise linear map and its smooth approximation. Zbl 0886.58073
Aharonov, D.; Devaney, R. L.; Elias, U.
1997
Singular Sturm comparison theorems. Zbl 1202.34066
Aharonov, Dov; Elias, Uri
2010
Proof of the Bieberbach conjecture for a certain class of univalent functions. Zbl 0203.38402
Aharonov, D.
1970
On Bieberbach Eilenberg functions. Zbl 0191.37604
Aharonov, D.
1970
Geometric sequences of discs in the Apollonian packing. Zbl 0908.52006
Aharonov, D.; Stephenson, K.
1997
A problem of Bombieri on univalent functions. Zbl 1361.30033
Aharonov, D.; Bshouty, D.
2016
Discrete Sturm comparison theorems on finite and infinite intervals. Zbl 1258.39001
Aharonov, Dov; Bohner, Martin; Elias, Uri
2012
A generalization of a theorem of J.A. Jenkins. Zbl 0174.37602
Aharonov, D.
1969
The hexagonal packing lemma and the Rodin Sullivan conjecture. Zbl 0812.52010
Aharonov, Dov
1994
On functions of bounded boundary rotation. Zbl 0328.30006
Aharonov, D.; Friedland, S.
1974
Weakly invertible elements in the space of square-summable holomorphic functions. Zbl 0316.30025
Aharonov, D.; Shapiro, H. S.; Shields, A. L.
1974
On pairs of functions and related classes. Zbl 0268.30008
Aharonov, Dov
1973
On the Bieberbach conjecture for functions with a small second coefficient. Zbl 0265.30016
Aharonov, Dov
1973
A binomial identity via differential equations. Zbl 1271.05013
Aharonov, D.; Elias, U.
2013
A minimal area problem in conformal mapping. II. Zbl 0980.30016
Aharonov, Dov; Shapiro, Harold S.; Solynin, Alexander Yu.
2001
The sharp constant in the ring lemma. Zbl 0903.30006
Aharonov, Dov
1997
A method of symmetrization and applications. Zbl 0233.30004
Aharonov, Dov; Kirwan, W. E.
1972
Improved inequalities for trigonometric functions via Dirichlet and zeta functions. Zbl 1277.26022
Aharonov, D.; Elias, U.
2013
Minimal area problems for functions with integral representation. Zbl 1133.30303
Aharonov, Dov; Shapiro, Harold S.; Solynin, Alexander Yu.
2006
The theorem of Cartwright, Spencer and Hayman. Zbl 0177.10901
Aharonov, D.
1969
More Jordan type inequalities. Zbl 1304.26013
Aharonov, D.; Elias, U.
2014
More on the identity of Chaundy and Bullard. Zbl 1297.33001
Aharonov, D.; Elias, U.
2014
On the univalence of an implicit function. Zbl 0571.30023
Aharonov, Dov
1984
Boundary behavior of conformal and quasiconformal mappings. Zbl 0525.30008
Aharonov, Dov; Srebro, Uri
1983
Bazilevic’s theorem for areally mean p-valent functions. Zbl 0513.30008
Aharonov, Dov
1983
A short proof of the Denjoy conjecture. Zbl 0496.30021
Aharonov, Dov; Srebro, Uri
1981
Disjoint meromorphic functions and nonoscillatory differential systems. Zbl 0282.30026
Aharonov, D.; Lavie, M.
1974
A method of symmetrization and applications. II. Zbl 0325.30022
Aharonov, Dov; Kirwan, W. E.
1972
Some examples in degree of approximation by rational functions. Zbl 0234.30022
Aharonov, D.; Walsh, J. L.
1971
Sequence of necessary conditions for univalence of a meromorphic function. Zbl 0221.30020
Aharonov, Dov
1971
A remark on an a really mean p-valent function. Zbl 0159.37102
Aharonov, D.
1968
A problem of Bombieri on univalent functions. Zbl 1361.30033
Aharonov, D.; Bshouty, D.
2016
More Jordan type inequalities. Zbl 1304.26013
Aharonov, D.; Elias, U.
2014
More on the identity of Chaundy and Bullard. Zbl 1297.33001
Aharonov, D.; Elias, U.
2014
A binomial identity via differential equations. Zbl 1271.05013
Aharonov, D.; Elias, U.
2013
Improved inequalities for trigonometric functions via Dirichlet and zeta functions. Zbl 1277.26022
Aharonov, D.; Elias, U.
2013
Discrete Sturm comparison theorems on finite and infinite intervals. Zbl 1258.39001
Aharonov, Dov; Bohner, Martin; Elias, Uri
2012
Singular Sturm comparison theorems. Zbl 1202.34066
Aharonov, Dov; Elias, Uri
2010
Minimal area problems for functions with integral representation. Zbl 1133.30303
Aharonov, Dov; Shapiro, Harold S.; Solynin, Alexander Yu.
2006
Fibonacci, Chebyshev, and orthogonal polynomials. Zbl 1138.11308
Aharonov, Dov; Beardon, Alan; Driver, Kathy
2005
Extremal problems for nonvanishing functions in Bergman spaces. Zbl 1089.30032
Aharonov, Dov; Bénéteau, Catherine; Khavinson, Dmitry; Shapiro, Harold
2005
Spiral-like functions with respect to a boundary point. Zbl 1018.30005
Aharonov, Dov; Elin, Mark; Shoikhet, David
2003
A minimal area problem in conformal mapping. II. Zbl 0980.30016
Aharonov, Dov; Shapiro, Harold S.; Solynin, Alexander Yu.
2001
Parametric representations of semi-complete vector fields on the unit balls in $$\mathbb{C}^ n$$ and in Hilbert space. Zbl 1036.32017
Aharonov, Dov; Elin, Mark; Reich, Simeon; Shoikhet, David
1999
Flow invariance conditions for holomorphic mappings in Banach spaces. Zbl 0947.46033
Aharonov, Dov; Reich, Simeon; Shoikhet, David
1999
A minimal area problem in conformal mapping. Zbl 0932.30021
Aharonov, Dov; Shapiro, Harold S.; Solynin, Alexander Yu.
1999
The dynamics of a piecewise linear map and its smooth approximation. Zbl 0886.58073
Aharonov, D.; Devaney, R. L.; Elias, U.
1997
Geometric sequences of discs in the Apollonian packing. Zbl 0908.52006
Aharonov, D.; Stephenson, K.
1997
The sharp constant in the ring lemma. Zbl 0903.30006
Aharonov, Dov
1997
The hexagonal packing lemma and the Rodin Sullivan conjecture. Zbl 0812.52010
Aharonov, Dov
1994
The hexagonal packing lemma and discrete potential theory. Zbl 0702.30008
Aharonov, Dov
1990
On the univalence of an implicit function. Zbl 0571.30023
Aharonov, Dov
1984
Boundary behavior of conformal and quasiconformal mappings. Zbl 0525.30008
Aharonov, Dov; Srebro, Uri
1983
Bazilevic’s theorem for areally mean p-valent functions. Zbl 0513.30008
Aharonov, Dov
1983
Potato Kugel. Zbl 0496.31006
Aharonov, Dov; Schiffer, M. M.; Zalcman, Lawrence
1981
A short proof of the Denjoy conjecture. Zbl 0496.30021
Aharonov, Dov; Srebro, Uri
1981
Domains on which analytic functions satisfy quadrature identities. Zbl 0337.30029
Aharonov, Dov; Shapiro, Harold S.
1976
On functions of bounded boundary rotation. Zbl 0328.30006
Aharonov, D.; Friedland, S.
1974
Weakly invertible elements in the space of square-summable holomorphic functions. Zbl 0316.30025
Aharonov, D.; Shapiro, H. S.; Shields, A. L.
1974
Disjoint meromorphic functions and nonoscillatory differential systems. Zbl 0282.30026
Aharonov, D.; Lavie, M.
1974
On an inequality connected with the coefficient conjecture for functions of bounded boundary rotation. Zbl 0257.30012
Aharonov, D.; Friedland, S.
1973
On pairs of functions and related classes. Zbl 0268.30008
Aharonov, Dov
1973
On the Bieberbach conjecture for functions with a small second coefficient. Zbl 0265.30016
Aharonov, Dov
1973
A method of symmetrization and applications. Zbl 0233.30004
Aharonov, Dov; Kirwan, W. E.
1972
A method of symmetrization and applications. II. Zbl 0325.30022
Aharonov, Dov; Kirwan, W. E.
1972
Some examples in degree of approximation by rational functions. Zbl 0234.30022
Aharonov, D.; Walsh, J. L.
1971
Sequence of necessary conditions for univalence of a meromorphic function. Zbl 0221.30020
Aharonov, Dov
1971
Proof of the Bieberbach conjecture for a certain class of univalent functions. Zbl 0203.38402
Aharonov, D.
1970
On Bieberbach Eilenberg functions. Zbl 0191.37604
Aharonov, D.
1970
A necessary and sufficient condition for univalence of a meromorphic function. Zbl 0177.33601
Aharonov, D.
1969
A generalization of a theorem of J.A. Jenkins. Zbl 0174.37602
Aharonov, D.
1969
The theorem of Cartwright, Spencer and Hayman. Zbl 0177.10901
Aharonov, D.
1969
A remark on an a really mean p-valent function. Zbl 0159.37102
Aharonov, D.
1968
all top 5

#### Cited by 271 Authors

 17 Shoikhet, David 13 Aharonov, Dov 13 Gustafsson, Bjorn 12 Elin, Mark 9 Solynin, Alexander Yu. 8 Barnard, Roger W. 8 Bell, Steven R. 7 Bracci, Filippo 7 Putinar, Mihai 7 Reich, Simeon 5 Harmelin, Reuven 5 Jiménez, María José 4 Contreras, Manuel D. 4 Díaz-Madrigal, Santiago 4 Encinas, Andrés M. 4 He, Tianxiao 4 He, Zheng-Xu 4 Karp, Lavi 4 Levenshtein, Marina 4 Rodin, Burton 4 Šepitka, Peter 4 Shapiro, Harold Seymour 4 Shiue, Peter Jau-Shyong 4 Šimon Hilscher, Roman 4 Sugawa, Toshiyuki 3 Došlý, Ondřej 3 Elias, Uri 3 Grinshpan, Arcadii Z. 3 Hamada, Hidetaka 3 Hummel, James A. 3 Khavinson, Dmitry S. 3 Koepf, Wolfram A. 3 Prokhorov, Dmitriĭ Vladimirovich 3 Shah, Swarupchand M. 3 Shahgholian, Henrik 3 Sheil-Small, Terry 2 Beardon, Alan Frank 2 Bénéteau, Catherine 2 Chalendar, Isabelle 2 Crowdy, Darren Gregory 2 Doyle, Peter G. 2 Duren, Peter Larkin 2 Elhadj, Zeraoulia 2 Fedorovskiĭ, K. Yu. 2 Ferguson, Timothy 2 Graham, Ian R. 2 Haridas, Pranav 2 Hedenmalm, Håkan 2 Hutchcroft, Tom 2 Kim, Seong-A 2 Kirwan, William E. 2 Kohr, Gabriela 2 Lagarias, Jeffrey C. 2 Lanconelli, Ermanno 2 Lecko, Adam 2 Lundberg, Erik 2 Marcus, Moshe M. 2 Marshall, Jonathan S. 2 Mishra, Anand K. 2 Netuka, Ivan 2 Onodera, Michiaki 2 Ponnusamy, Saminathan 2 Richards, Kendall C. 2 Ruscheweyh, Stephan 2 Sakai, Makoto 2 Sivasubramanian, Srikandan 2 Sprott, Julien Clinton 2 Szasz, Robert Zoltan 2 Tarkhanov, Nikolai N. 2 Tkachev, Vladimir G. 2 Verma, Kaushal 2 Wirths, Karl-Joachim 2 Xia, Daoxing 2 Yoon, Jasang 2 Zalcman, Lawrence Allen 1 Abu-Muhanna, Yusuf 1 Ali, Rosihan Mohamed 1 Alzer, Horst 1 Arendt, Wolfgang 1 Avicou, C. 1 Avkhadiev, Farit Gabidinovich 1 Aziz-Alaoui, Moulay-Ahmed 1 Beauregard, Raymond A. 1 Begehr, Heinrich 1 Benítez-Babilonia, Luis 1 Bishouty, Daoud H. 1 Biswas, Arunabha 1 Bleher, Pavel M. 1 Bohner, Martin J. 1 Borichev, Aleksandr Aleksandrovich 1 Borovik, E. V. 1 Böttcher, Albrecht 1 Bourdon, Paul S. 1 Brown, Leon 1 Bshouty, Daoud H. 1 Bücking, Ulrike 1 Bukhari, Syed Zakar Hussain 1 Bullett, Shaun R. 1 Çağlar, Murat 1 Capparelli, Stefano ...and 171 more Authors
all top 5

#### Cited in 93 Serials

 30 Journal d’Analyse Mathématique 21 Computational Methods and Function Theory 16 Proceedings of the American Mathematical Society 14 Journal of Mathematical Analysis and Applications 11 Israel Journal of Mathematics 11 Analysis and Mathematical Physics 8 Transactions of the American Mathematical Society 7 Mathematische Zeitschrift 5 Applied Mathematics and Computation 5 Mathematische Annalen 5 Discrete & Computational Geometry 5 Journal of Difference Equations and Applications 4 Mathematical Notes 4 Arkiv för Matematik 4 Physica D 4 Complex Analysis and Operator Theory 3 Advances in Mathematics 3 Integral Equations and Operator Theory 3 Journal of Computational and Applied Mathematics 3 Journal of Differential Equations 3 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 3 Mediterranean Journal of Mathematics 3 Bulletin of the American Mathematical Society 2 Communications in Mathematical Physics 2 Rocky Mountain Journal of Mathematics 2 Chaos, Solitons and Fractals 2 The Mathematical Intelligencer 2 Geometriae Dedicata 2 International Journal of Mathematics and Mathematical Sciences 2 Journal of Functional Analysis 2 Mathematische Nachrichten 2 Rendiconti del Circolo Matemàtico di Palermo. Serie II 2 Siberian Mathematical Journal 2 Journal of the American Mathematical Society 2 Potential Analysis 2 The Ramanujan Journal 1 Discrete Applied Mathematics 1 Linear and Multilinear Algebra 1 The Mathematical Gazette 1 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 1 Acta Arithmetica 1 Acta Mathematica 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 1 Annales Universitatis Mariae Curie-Skłodowska. Sectio A. Mathematica 1 Bulletin of the London Mathematical Society 1 Compositio Mathematica 1 Functiones et Approximatio. Commentarii Mathematici 1 Journal of Number Theory 1 Memoirs of the American Mathematical Society 1 Monatshefte für Mathematik 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Rendiconti del Seminario Matemàtico e Fisico di Milano 1 Tohoku Mathematical Journal. Second Series 1 Advances in Applied Mathematics 1 Acta Applicandae Mathematicae 1 Journal of Complexity 1 Applied Mathematics Letters 1 European Journal of Applied Mathematics 1 Communications in Partial Differential Equations 1 Linear Algebra and its Applications 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 SIAM Review 1 Bulletin of the American Mathematical Society. New Series 1 Expositiones Mathematicae 1 Indagationes Mathematicae. New Series 1 Journal of Nonlinear Science 1 Journal of Mathematical Sciences (New York) 1 St. Petersburg Mathematical Journal 1 Boletín de la Sociedad Matemática Mexicana. Third Series 1 Annales Academiae Scientiarum Fennicae. Mathematica 1 Journal of Inequalities and Applications 1 Mathematical Inequalities & Applications 1 Journal of the European Mathematical Society (JEMS) 1 Journal of High Energy Physics 1 Lobachevskii Journal of Mathematics 1 Journal of Evolution Equations 1 Journal of Systems Science and Complexity 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Journal of Applied Mathematics and Computing 1 Bulletin of the Brazilian Mathematical Society. New Series 1 Milan Journal of Mathematics 1 Fixed Point Theory and Applications 1 Complex Variables and Elliptic Equations 1 Proceedings of the Steklov Institute of Mathematics 1 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 1 Symmetry 1 ISRN Algebra 1 Izvestiya Saratovskogo Universiteta. Novaya Seriya. Seriya Matematika, Mekhanika, Informatika 1 ISRN Discrete Mathematics 1 Forum of Mathematics, Sigma 1 Nonlinear Analysis. Theory, Methods & Applications 1 Electronic Research Archive
all top 5

#### Cited in 39 Fields

 155 Functions of a complex variable (30-XX) 33 Potential theory (31-XX) 29 Operator theory (47-XX) 24 Dynamical systems and ergodic theory (37-XX) 22 Several complex variables and analytic spaces (32-XX) 17 Partial differential equations (35-XX) 15 Functional analysis (46-XX) 13 Number theory (11-XX) 13 Convex and discrete geometry (52-XX) 12 Difference and functional equations (39-XX) 11 Special functions (33-XX) 10 Ordinary differential equations (34-XX) 9 Fluid mechanics (76-XX) 6 Combinatorics (05-XX) 5 Linear and multilinear algebra; matrix theory (15-XX) 5 Real functions (26-XX) 5 Probability theory and stochastic processes (60-XX) 4 Global analysis, analysis on manifolds (58-XX) 3 Algebraic geometry (14-XX) 3 Integral transforms, operational calculus (44-XX) 3 Differential geometry (53-XX) 3 Systems theory; control (93-XX) 2 General and overarching topics; collections (00-XX) 2 Group theory and generalizations (20-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Numerical analysis (65-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 History and biography (01-XX) 1 Mathematical logic and foundations (03-XX) 1 Measure and integration (28-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Integral equations (45-XX) 1 Geometry (51-XX) 1 Manifolds and cell complexes (57-XX) 1 Computer science (68-XX) 1 Mechanics of particles and systems (70-XX) 1 Quantum theory (81-XX) 1 Relativity and gravitational theory (83-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)