## Hellerstein, Simon

Compute Distance To:
 Author ID: hellerstein.simon Published as: Hellerstein, Simon; Hellerstein, S.
 Documents Indexed: 31 Publications since 1961 Co-Authors: 12 Co-Authors with 27 Joint Publications 274 Co-Co-Authors
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### Co-Authors

 4 single-authored 11 Williamson, Jack 4 Rossi, John F. 4 Shea, Daniel F. 3 Korevaar, Jacob 3 Shen, Lichien 2 Edwards, Stephanie P. 2 Miles, Joseph 1 Edrei, Albert 1 Frank, Günter 1 Fuchs, Wolfgang H. J. 1 Rubel, Lee Albert 1 Yang, Chung-Chun
all top 5

### Serials

 7 Transactions of the American Mathematical Society 2 Journal d’Analyse Mathématique 2 Duke Mathematical Journal 2 Pacific Journal of Mathematics 2 Proceedings of the London Mathematical Society. Third Series 2 Complex Variables. Theory and Application 2 Bulletin of the American Mathematical Society 1 Annales Academiae Scientiarum Fennicae. Series A I. Mathematica 1 Illinois Journal of Mathematics 1 Journal of the London Mathematical Society. Second Series 1 Mathematische Zeitschrift 1 Proceedings of the American Mathematical Society

### Fields

 19 Functions of a complex variable (30-XX) 7 Ordinary differential equations (34-XX) 1 Approximations and expansions (41-XX)

### Citations contained in zbMATH Open

25 Publications have been cited 274 times in 171 Documents Cited by Year
On the meromorphic solutions of non-homogeneous linear differential equations with polynomial coefficients. Zbl 0635.34005
Frank, Günter; Hellerstein, Simon
1986
On the growth of solutions of $$f''+gf'+hf=0$$. Zbl 0719.34011
Hellerstein, Simon; Miles, Joseph; Rossi, John
1991
Derivatives of entire functions and a question of Polya. Zbl 0368.30005
Hellerstein, Simon; Williamson, Jack
1977
Radial distribution and deficiencies of the values of a meromorphic function. Zbl 0103.04602
Edrei, Albert; Fuchs, Wolfgang H. J.; Hellerstein, Simon
1961
Derivatives of entire functions and a question of Polya. II. Zbl 0368.30006
Hellerstein, Simon; Williamson, Jack
1977
On the growth of solutions of certain linear differential equations. Zbl 0759.34005
Hellerstein, Simon; Miles, Joseph; Rossi, John
1992
Subfields that are algebraically closed in the field of all meromorphic functions. Zbl 0129.29301
Hellerstein, S.; Rubel, L. A.
1964
Non-real zeros of derivatives of real entire functions and the Pólya-Wiman conjectures. Zbl 1021.30026
Edwards, Stephanie; Hellerstein, Simon
2002
Real zeros of derivatives of meromorphic functions and solutions of second order differential equations. Zbl 0549.30021
Hellerstein, Simon; Shen, Li-Chien; Williamson, Jack
1984
Entire functions with negative zeros and a problem of R. Nevanlinna. Zbl 0185.14402
Hellerstein, S.; Williamson, J.
1969
Zeros of meromorphic solutions of second order linear differential equations. Zbl 0678.34007
Hellerstein, Simon; Rossi, John
1986
Reality of the zeros of an entire function and its derivatives. Zbl 0516.30022
Hellerstein, Simon; Shen, Li-Chien; Williamson, Jack
1983
The zeros of the second derivative of the reciprocal of an entire function. Zbl 0472.30028
Hellerstein, Simon; Williamson, Jack
1981
Half-plane Tumura-Clunie theorems and the real zeros of successive derivatives. Zbl 0236.30036
Hellerstein, S.; Yang, C. C.
1972
Bounds for the deficiencies of meromorphic functions of finite order. Zbl 0179.11002
Hellerstein, S.; Shea, D. F.
1968
On the distribution of zeros of solutions of second-order differential equations. Zbl 0688.30023
Hellerstein, Simon; Rossi, John
1989
On a class of meromorphic functions with deficient zeros and poles. Zbl 0112.30602
Hellerstein, S.
1963
On the zeros of an entire function and its second derivative. Zbl 0142.33001
Hellerstein, S.
1966
A Tauberian theorem characterizing the regularity of growth of a class of entire functions. Zbl 0207.36902
Hellerstein, S.; Shea, D. F.; Williamson, J.
1970
Some analytic varieties in the polydisc and the Müntz-Szasz problem in several variables. Zbl 0228.41007
Hellerstein, Simon
1971
Limits of entire functions whose growth and zeros are restricted. Zbl 0123.26604
Hellerstein, S.; Korevaar, J.
1963
The real values of an entire function. Zbl 0145.08404
Hellerstein, S.; Korevaar, J.
1964
Discrete sets of uniqueness for bounded holomorphic functions f(z,w). Zbl 0181.36104
Korevaar, J.; Hellerstein, S.
1968
Successive derivatives of entire functions. Zbl 0371.30023
Hellerstein, Simon; Williamson, Jack
1977
Minimal deficiencies for entire functions with radially distributed zeros. Zbl 0394.30022
Hellerstein, Simon; Shea, Daniel F.
1978
Non-real zeros of derivatives of real entire functions and the Pólya-Wiman conjectures. Zbl 1021.30026
Edwards, Stephanie; Hellerstein, Simon
2002
On the growth of solutions of certain linear differential equations. Zbl 0759.34005
Hellerstein, Simon; Miles, Joseph; Rossi, John
1992
On the growth of solutions of $$f''+gf'+hf=0$$. Zbl 0719.34011
Hellerstein, Simon; Miles, Joseph; Rossi, John
1991
On the distribution of zeros of solutions of second-order differential equations. Zbl 0688.30023
Hellerstein, Simon; Rossi, John
1989
On the meromorphic solutions of non-homogeneous linear differential equations with polynomial coefficients. Zbl 0635.34005
Frank, Günter; Hellerstein, Simon
1986
Zeros of meromorphic solutions of second order linear differential equations. Zbl 0678.34007
Hellerstein, Simon; Rossi, John
1986
Real zeros of derivatives of meromorphic functions and solutions of second order differential equations. Zbl 0549.30021
Hellerstein, Simon; Shen, Li-Chien; Williamson, Jack
1984
Reality of the zeros of an entire function and its derivatives. Zbl 0516.30022
Hellerstein, Simon; Shen, Li-Chien; Williamson, Jack
1983
The zeros of the second derivative of the reciprocal of an entire function. Zbl 0472.30028
Hellerstein, Simon; Williamson, Jack
1981
Minimal deficiencies for entire functions with radially distributed zeros. Zbl 0394.30022
Hellerstein, Simon; Shea, Daniel F.
1978
Derivatives of entire functions and a question of Polya. Zbl 0368.30005
Hellerstein, Simon; Williamson, Jack
1977
Derivatives of entire functions and a question of Polya. II. Zbl 0368.30006
Hellerstein, Simon; Williamson, Jack
1977
Successive derivatives of entire functions. Zbl 0371.30023
Hellerstein, Simon; Williamson, Jack
1977
Half-plane Tumura-Clunie theorems and the real zeros of successive derivatives. Zbl 0236.30036
Hellerstein, S.; Yang, C. C.
1972
Some analytic varieties in the polydisc and the Müntz-Szasz problem in several variables. Zbl 0228.41007
Hellerstein, Simon
1971
A Tauberian theorem characterizing the regularity of growth of a class of entire functions. Zbl 0207.36902
Hellerstein, S.; Shea, D. F.; Williamson, J.
1970
Entire functions with negative zeros and a problem of R. Nevanlinna. Zbl 0185.14402
Hellerstein, S.; Williamson, J.
1969
Bounds for the deficiencies of meromorphic functions of finite order. Zbl 0179.11002
Hellerstein, S.; Shea, D. F.
1968
Discrete sets of uniqueness for bounded holomorphic functions f(z,w). Zbl 0181.36104
Korevaar, J.; Hellerstein, S.
1968
On the zeros of an entire function and its second derivative. Zbl 0142.33001
Hellerstein, S.
1966
Subfields that are algebraically closed in the field of all meromorphic functions. Zbl 0129.29301
Hellerstein, S.; Rubel, L. A.
1964
The real values of an entire function. Zbl 0145.08404
Hellerstein, S.; Korevaar, J.
1964
On a class of meromorphic functions with deficient zeros and poles. Zbl 0112.30602
Hellerstein, S.
1963
Limits of entire functions whose growth and zeros are restricted. Zbl 0123.26604
Hellerstein, S.; Korevaar, J.
1963
Radial distribution and deficiencies of the values of a meromorphic function. Zbl 0103.04602
Edrei, Albert; Fuchs, Wolfgang H. J.; Hellerstein, Simon
1961
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### Cited by 132 Authors

 30 Langley, James K. 9 Chen, Zongxuan 8 Long, Jianren 7 Rossi, John F. 7 Williamson, Jack 6 Hellerstein, Simon 6 Laine, Ilpo 5 Gil’, Michael Iosif 5 Heittokangas, Janne M. 4 Abi-Khuzam, Faruk Fuad 4 Bank, Steven B. 4 Bergweiler, Walter 4 Gao, Shian 4 Ozawa, Mitsuru 4 Tu, Jin 4 Wu, Pengcheng 3 Belaïdi, Benharrat 3 Gundersen, Gary G. 3 Hinkkanen, Aimo 3 Korhonen, Risto 3 Wang, Jun 3 Wu, Xiubi 2 Berndtsson, Bo 2 Cao, Tingbin 2 Elzaidi, S. M. 2 Eremenko, Alexandre Émmanuilovich 2 Fuchs, Wolfgang H. J. 2 Huang, Zhigang 2 Kim, Young-One 2 Kobayashi, Tadashi 2 Kumar, Sanjay 2 Nicks, Daniel A. 2 Prather, Carl L. 2 Rättyä, Jouni 2 Saini, Manisha 2 Shea, Daniel F. 2 Shen, Lichien 2 Tyaglov, Mikhail 2 Yang, Chung-Chun 2 Yang, Lianzhong 2 Zhu, Jun 1 Alotaibi, Abdullah M. 1 Atia, Mohamed Jalel 1 Bandyopadhyay, Ashima 1 Barsegian, Grigor A. 1 Biswas, Lakshmi 1 Borcea, Julius 1 Brändén, Petter 1 Chen, Chuangxin 1 Chuaqui, Martin 1 Craven, Thomas C. 1 Csordas, George 1 Deng, Guantie 1 Edrei, Albert 1 Edwards, Stephanie P. 1 el Farissi, Abdallah 1 Frank, Günter 1 Gao, Lingyun 1 Glejzer, E. V. 1 Gol’dberg, Anatoliĭ Asirowitsch 1 Gröhn, Janne 1 Gross, Fred 1 Han, Qi 1 Hennekemper, Wilhelm 1 Huang, Cunzhi 1 Huang, Wenping 1 Huang, Zhibo 1 Kara, Mohamed Abdelhak 1 Ki, Haseo 1 Kimura, Shigeru 1 Kohs, Werner P. 1 Kumar Datta, Sanjib 1 Kwon, Ki-Ho 1 Lan, Shuangting 1 Layman, John W. 1 Li, Xianyu 1 Li, Yezhou 1 Lingham, Eleanor F. 1 Liu, Huifang 1 Liu, Jie 1 Liu, Jingbo 1 Lu, Weiran 1 Luo, Minwei 1 Mao, Zhiqiang 1 McKean, Henry P. jun. 1 Mehra, Naveen 1 Melas, Antonios D. 1 Meyer, Janis 1 Mokhon’ko, Anatolii Zakharovich 1 Mokhon’ko, Valentina D. 1 Niino, Kiyoshi 1 Ning, Juhong 1 Ostrovska, Sofiya 1 Ostrovskiĭ, Iosif Vladimirovich 1 Pande, V. P. 1 Qiao, Jianyong 1 Qiu, Chunhui 1 Sarkar, Sukalyan 1 Sato, Tsuneo 1 Shi, Ling-Zhi ...and 32 more Authors
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### Cited in 61 Serials

 14 Proceedings of the American Mathematical Society 13 Journal of Mathematical Analysis and Applications 13 Computational Methods and Function Theory 12 Results in Mathematics 12 Transactions of the American Mathematical Society 11 Journal d’Analyse Mathématique 10 Kodai Mathematical Journal 7 Kodai Mathematical Seminar Reports 4 Proceedings of the Edinburgh Mathematical Society. Series II 4 Abstract and Applied Analysis 3 Ukrainian Mathematical Journal 3 Annales Academiae Scientiarum Fennicae. Mathematica 3 Advances in Difference Equations 3 Complex Variables and Elliptic Equations 2 Rocky Mountain Journal of Mathematics 2 Acta Mathematica 2 Annali di Matematica Pura ed Applicata. Serie Quarta 2 Illinois Journal of Mathematics 2 Bulletin of the Korean Mathematical Society 2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 2 Acta Mathematica Sinica. English Series 2 Journal of Systems Science and Complexity 2 Acta Mathematica Scientia. Series B. (English Edition) 2 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 2 Science China. Mathematics 1 Bulletin of the Australian Mathematical Society 1 Communications on Pure and Applied Mathematics 1 Mathematical Notes 1 Arkiv för Matematik 1 Advances in Mathematics 1 Archiv der Mathematik 1 Compositio Mathematica 1 Duke Mathematical Journal 1 The Journal of the Indian Mathematical Society. New Series 1 Journal of Soviet Mathematics 1 Mathematische Zeitschrift 1 Monatshefte für Mathematik 1 Nagoya Mathematical Journal 1 Siberian Mathematical Journal 1 Acta Mathematicae Applicatae Sinica. English Series 1 Revista Matemática Iberoamericana 1 Applied Mathematics Letters 1 Science in China. Series A 1 Expositiones Mathematicae 1 Acta Mathematica Sinica. New Series 1 Indagationes Mathematicae. New Series 1 Applied Mathematics. Series B (English Edition) 1 Filomat 1 Taiwanese Journal of Mathematics 1 Mathematica Moravica 1 Annals of Mathematics. Second Series 1 Communications of the Korean Mathematical Society 1 Bulletin of the American Mathematical Society 1 Proceedings of the Steklov Institute of Mathematics 1 Communications in Mathematical Analysis 1 Kyoto Journal of Mathematics 1 Journal of Complex Analysis 1 Open Mathematics 1 Korean Journal of Mathematics 1 AIMS Mathematics 1 Ural Mathematical Journal
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### Cited in 16 Fields

 141 Functions of a complex variable (30-XX) 77 Ordinary differential equations (34-XX) 5 Several complex variables and analytic spaces (32-XX) 4 Real functions (26-XX) 3 Potential theory (31-XX) 3 Dynamical systems and ergodic theory (37-XX) 2 Number theory (11-XX) 2 Field theory and polynomials (12-XX) 2 Algebraic geometry (14-XX) 1 History and biography (01-XX) 1 Combinatorics (05-XX) 1 Special functions (33-XX) 1 Approximations and expansions (41-XX) 1 Operator theory (47-XX) 1 Differential geometry (53-XX) 1 Statistics (62-XX)