Simon Hellerstein

684 total citations
33 papers, 443 citations indexed

About

Simon Hellerstein is a scholar working on Applied Mathematics, Geometry and Topology and Computational Theory and Mathematics. According to data from OpenAlex, Simon Hellerstein has authored 33 papers receiving a total of 443 indexed citations (citations by other indexed papers that have themselves been cited), including 30 papers in Applied Mathematics, 17 papers in Geometry and Topology and 4 papers in Computational Theory and Mathematics. Recurrent topics in Simon Hellerstein's work include Meromorphic and Entire Functions (27 papers), Advanced Differential Equations and Dynamical Systems (12 papers) and Holomorphic and Operator Theory (6 papers). Simon Hellerstein is often cited by papers focused on Meromorphic and Entire Functions (27 papers), Advanced Differential Equations and Dynamical Systems (12 papers) and Holomorphic and Operator Theory (6 papers). Simon Hellerstein collaborates with scholars based in United States and Germany. Simon Hellerstein's co-authors include John Rossi, Günter Frank, Joseph R. Miles, Albert Edrei, Wolfgang Fuchs, Lee A. Rubel, Li‐Chien Shen, John J. Rossi, J. Korevaar and Daniel F. Shea and has published in prestigious journals such as Transactions of the American Mathematical Society, Pacific Journal of Mathematics and Bulletin of the American Mathematical Society.

In The Last Decade

Simon Hellerstein

30 papers receiving 261 citations

Peers — A (Enhanced Table)

Peers by citation overlap · career bar shows stage (early→late) cites · hero ref

Name	h						Papers	Cites
Simon Hellerstein United States	12	384	286	42	36	34	33	443
Charles F. Osgood United States	9	129 0.3×	115 0.4×	60 1.4×	24 0.7×	56 1.6×	40	260
E. F. Collingwood United States	8	264 0.7×	220 0.8×	118 2.8×	10 0.3×	50 1.5×	22	384
G. R. MacLane United States	8	273 0.7×	141 0.5×	89 2.1×	4 0.1×	23 0.7×	14	328
Norbert Steinmetz Germany	12	429 1.1×	386 1.3×	157 3.7×	23 0.6×	59 1.7×	49	569
Bo Berndtsson Sweden	11	337 0.9×	228 0.8×	118 2.8×	9 0.3×	31 0.9×	28	410
А. М. Кытманов Russia	9	218 0.6×	113 0.4×	69 1.6×	15 0.4×	67 2.0×	61	322
Heinz Leutwiler Germany	11	271 0.7×	55 0.2×	75 1.8×	7 0.2×	80 2.4×	35	316
Mark Melnikov Spain	9	318 0.8×	97 0.3×	166 4.0×	42 1.2×	53 1.6×	18	356
Kyong T. Hahn United States	12	290 0.8×	219 0.8×	54 1.3×	4 0.1×	37 1.1×	46	362
André Martineau	5	190 0.5×	72 0.3×	125 3.0×	20 0.6×	43 1.3×	7	260

Countries citing papers authored by Simon Hellerstein

Since Specialization

Citations

This map shows the geographic impact of Simon Hellerstein's research. It shows the number of citations coming from papers published by authors working in each country. You can also color the map by specialization and compare the number of citations received by Simon Hellerstein with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Simon Hellerstein more than expected).

Fields of papers citing papers by Simon Hellerstein

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Simon Hellerstein. Nodes represent research fields, and links connect fields that are likely to share authors. Colored nodes show fields that tend to cite the papers produced by Simon Hellerstein. The network helps show where Simon Hellerstein may publish in the future.

Co-authorship network of co-authors of Simon Hellerstein

This figure shows the co-authorship network connecting the top 25 collaborators of Simon Hellerstein. A scholar is included among the top collaborators of Simon Hellerstein based on the total number of citations received by their joint publications. Widths of edges represent the number of papers authors have co-authored together. Node borders signify the number of papers an author published with Simon Hellerstein. Simon Hellerstein is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

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20 of 20 papers shown

Hellerstein, Simon, et al.. (2002). Non-real Zeros of Derivatives of Real Entire Functions and the Pólya-Wiman Conjectures. Complex Variables Theory and Application An International Journal. 47(1). 25–57. 7 indexed citations

Rossi, John & Simon Hellerstein. (1993). The radial growth of entire functions with density conditions. Complex Variables Theory and Application An International Journal. 22(3-4). 175–180.

Hellerstein, Simon, Joseph R. Miles, & John J. Rossi. (1991). On the Growth of Solutions of f � � + gf � + hf = 0. Transactions of the American Mathematical Society. 324(2). 693–693. 18 indexed citations

Hellerstein, Simon & John Rossi. (1989). On the distribution of zeros of solutions of second-order differential equations. Complex Variables Theory and Application An International Journal. 13(1-2). 99–109. 7 indexed citations

Frank, Günter & Simon Hellerstein. (1986). On the Meromorphic Solutions of Non-Homogeneous Linear Differential Equations with Polynomial Coefficients. Proceedings of the London Mathematical Society. s3-53(3). 407–428. 45 indexed citations

Hellerstein, Simon, et al.. (1984). Real zeros of derivatives of meromorphic functions and solutions of second order differential equations. Transactions of the American Mathematical Society. 285(2). 759–776. 21 indexed citations

Hellerstein, Simon, et al.. (1983). Reality of the zeros of an entire function and its derivatives. Transactions of the American Mathematical Society. 275(1). 319–331. 15 indexed citations

Hellerstein, Simon, et al.. (1983). Reality of the Zeros of An Entire Function and Its Derivatives. Transactions of the American Mathematical Society. 275(1). 319–319. 8 indexed citations

Hellerstein, Simon, et al.. (1981). The zeros of the second derivative of the reciprocal of an entire function. Transactions of the American Mathematical Society. 263(2). 501–513. 17 indexed citations

10.

Hellerstein, Simon, et al.. (1981). The Zeros of the Second Derivative of the Reciprocal of an Entire Function. Transactions of the American Mathematical Society. 263(2). 501–501. 6 indexed citations

11.

Hellerstein, Simon, et al.. (1977). Successive derivatives of entire functions. Proceedings of the American Mathematical Society. 66(1). 105–108. 3 indexed citations

12.

Hellerstein, Simon, et al.. (1977). Successive Derivatives of Entire Functions. Proceedings of the American Mathematical Society. 66(1). 105–105. 5 indexed citations

13.

Hellerstein, Simon, et al.. (1975). Derivatives of entire functions and a question of Pólya. Bulletin of the American Mathematical Society. 81(2). 453–455. 9 indexed citations

14.

Hellerstein, Simon, et al.. (1972). Half-Plane Tumura-Clunie Theorems and the Real Zeros of Successive Derivatives†. Journal of the London Mathematical Society. s2-4(3). 469–481. 8 indexed citations

15.

Hellerstein, Simon. (1971). Some analytic varieties in the polydisc and the Müntz-Szasz problem in several variables. Transactions of the American Mathematical Society. 158(2). 285–292. 4 indexed citations

16.

Hellerstein, Simon, et al.. (1970). A tauberian theorem characterizing the regularity of growth of a class of entire functions. Duke Mathematical Journal. 37(3). 3 indexed citations

17.

Hellerstein, Simon, et al.. (1969). Entire functions with negative zeros and a problem of R. Nevanlinna. Journal d Analyse Mathématique. 22(1). 233–267. 10 indexed citations

18.

Hellerstein, Simon. (1966). On the zeros of an entire function and its second derivative. Illinois Journal of Mathematics. 10(3). 4 indexed citations

19.

Hellerstein, Simon. (1963). On a class of meromorphic functions with deficient zeros and poles. Pacific Journal of Mathematics. 13(1). 115–124. 31 indexed citations

20.

Edrei, Albert, Wolfgang Fuchs, & Simon Hellerstein. (1961). Radial distribution and deficiencies of the values of a meromorphic function. Pacific Journal of Mathematics. 11(1). 135–151. 54 indexed citations

Rankless uses publication and citation data sourced from OpenAlex, an open and comprehensive bibliographic database. While OpenAlex provides broad and valuable coverage of the global research landscape, it—like all bibliographic datasets—has inherent limitations. These include incomplete records, variations in author disambiguation, differences in journal indexing, and delays in data updates. As a result, some metrics and network relationships displayed in Rankless may not fully capture the entirety of a scholar's output or impact.

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