T. Sheil-Small

2.1k total citations · 1 hit paper
27 papers, 1.3k citations indexed

About

T. Sheil-Small is a scholar working on Geometry and Topology, Applied Mathematics and Algebra and Number Theory. According to data from OpenAlex, T. Sheil-Small has authored 27 papers receiving a total of 1.3k indexed citations (citations by other indexed papers that have themselves been cited), including 21 papers in Geometry and Topology, 19 papers in Applied Mathematics and 3 papers in Algebra and Number Theory. Recurrent topics in T. Sheil-Small's work include Analytic and geometric function theory (15 papers), Holomorphic and Operator Theory (9 papers) and Meromorphic and Entire Functions (8 papers). T. Sheil-Small is often cited by papers focused on Analytic and geometric function theory (15 papers), Holomorphic and Operator Theory (9 papers) and Meromorphic and Entire Functions (8 papers). T. Sheil-Small collaborates with scholars based in United Kingdom and United States. T. Sheil-Small's co-authors include J. Clunie, St. Ruscheweyh, Edward B. Saff, Herb Silverman, M. Goldstein, R. R. Hall and Hal L. Smith and has published in prestigious journals such as Annals of Mathematics, Bulletin of the London Mathematical Society and Proceedings of the American Mathematical Society.

In The Last Decade

T. Sheil-Small

25 papers receiving 1.1k citations

Hit Papers

Harmonic univalent functions 1984 2026 1998 2012 1984 100 200 300 400 500
What are hit papers?

Hit papers significantly outperform the citation benchmark for their cohort. A paper qualifies if it has ≥500 total citations, achieves ≥1.5× the top-1% citation threshold for papers in the same subfield and year (this is the minimum needed to enter the top 1%, not the average within it), or reaches the top citation threshold in at least one of its specific research topics.

  1. Harmonic univalent functions
    1984 557 citations J. Clunie, T. Sheil-Small Annales Academiae Scientiarum Fennicae Series A I Mathematica profile →

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
T. Sheil-Small United Kingdom 12 1.2k 1.0k 107 58 43 27 1.3k
Thomas H. MacGregor United States 20 1.2k 1.0× 1.1k 1.0× 187 1.7× 41 0.7× 105 2.4× 73 1.4k
E. P. Merkes United States 12 714 0.6× 518 0.5× 140 1.3× 39 0.7× 35 0.8× 27 840
D. J. Hallenbeck United States 13 582 0.5× 530 0.5× 113 1.1× 38 0.7× 57 1.3× 52 721
J. Clunie United Kingdom 15 1.4k 1.1× 1.5k 1.5× 89 0.8× 82 1.4× 164 3.8× 62 1.8k
St. Ruscheweyh Germany 8 476 0.4× 443 0.4× 93 0.9× 31 0.5× 32 0.7× 28 579
Gabriela Kohr Romania 20 1.4k 1.2× 1.5k 1.5× 41 0.4× 66 1.1× 112 2.6× 93 1.6k
David Minda United States 14 695 0.6× 603 0.6× 61 0.6× 38 0.7× 73 1.7× 71 770
Glenn Schober United States 15 611 0.5× 599 0.6× 31 0.3× 109 1.9× 85 2.0× 66 784
Jugal K. Prajapat India 12 416 0.3× 444 0.4× 95 0.9× 104 1.8× 94 2.2× 50 587
Toshiyuki Sugawa Japan 13 544 0.5× 486 0.5× 68 0.6× 29 0.5× 73 1.7× 82 619

Countries citing papers authored by T. Sheil-Small

Since Specialization
Citations

This map shows the geographic impact of T. Sheil-Small'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 T. Sheil-Small with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites T. Sheil-Small more than expected).

Fields of papers citing papers by T. Sheil-Small

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by T. Sheil-Small. 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 T. Sheil-Small. The network helps show where T. Sheil-Small may publish in the future.

Co-authorship network of co-authors of T. Sheil-Small

This figure shows the co-authorship network connecting the top 25 collaborators of T. Sheil-Small. A scholar is included among the top collaborators of T. Sheil-Small 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 T. Sheil-Small. T. Sheil-Small is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

20 of 20 papers shown
1.
Sheil-Small, T.. (2012). Solution to a Bergman space extremal problem for non-vanishing functions. Bulletin of the London Mathematical Society. 44(4). 763–774.
2.
Sheil-Small, T.. (2011). Area extremal problems for non-vanishing functions. Proceedings of the American Mathematical Society. 139(9). 3231–3245.
3.
Sheil-Small, T.. (2002). Complex Polynomials. Cambridge University Press eBooks. 71 indexed citations
4.
Sheil-Small, T.. (1989). On the zeros of 𝐿’+𝐿² for certain rational functions 𝐿. Proceedings of the American Mathematical Society. 107(4). 1013–1016. 1 indexed citations
5.
Sheil-Small, T., et al.. (1989). Neighborhoods of analytic functions. Journal d Analyse Mathématique. 52(1). 210–240. 11 indexed citations
6.
Sheil-Small, T.. (1989). On the Zeros of the Derivatives of Real Entire Functions and Wiman's Conjecture. Annals of Mathematics. 129(1). 179–179. 32 indexed citations
7.
Sheil-Small, T.. (1989). On the Fourier series of a step function.. The Michigan Mathematical Journal. 36(3). 14 indexed citations
8.
Sheil-Small, T.. (1985). On the Fourier series of a finitely described convex curve and a conjecture of H. S. Shapiro. Mathematical Proceedings of the Cambridge Philosophical Society. 98(3). 513–527. 7 indexed citations
9.
Clunie, J. & T. Sheil-Small. (1984). Harmonic univalent functions. Annales Academiae Scientiarum Fennicae Series A I Mathematica. 9. 3–25. 557 indexed citations breakdown →
10.
Sheil-Small, T.. (1983). Coefficients and integral means of some classes of analytic functions. Proceedings of the American Mathematical Society. 88(2). 275–282. 10 indexed citations
11.
Sheil-Small, T.. (1983). Some remarks on Bazilevič functions. Journal d Analyse Mathématique. 43(1). 1–11. 11 indexed citations
12.
Sheil-Small, T., et al.. (1982). Convolution multipliers and starlike functions. Journal d Analyse Mathématique. 41(1). 181–192. 22 indexed citations
13.
Goldstein, M., R. R. Hall, T. Sheil-Small, & Hal L. Smith. (1982). Convexity Preservation of Inverse Euler Operators and a Problem of S. Miller. Bulletin of the London Mathematical Society. 14(6). 537–541. 5 indexed citations
14.
Sheil-Small, T.. (1978). The hadamard product and linear transformations of classes of analytic functions. Journal d Analyse Mathématique. 34(1). 204–239. 17 indexed citations
15.
Sheil-Small, T.. (1973). On Linearly Accessible Univalent Functions. Journal of the London Mathematical Society. s2-6(3). 385–398. 3 indexed citations
16.
Ruscheweyh, St. & T. Sheil-Small. (1973). Hadamard products of Schlicht functions and the Pólya-Schoenberg conjecture. Commentarii Mathematici Helvetici. 48(1). 119–135. 267 indexed citations
17.
Sheil-Small, T.. (1972). ON BAZILEVIČ FUNCTIONS. The Quarterly Journal of Mathematics. 23(2). 135–142. 40 indexed citations
18.
Sheil-Small, T.. (1970). Starlike Univalent Functions. Proceedings of the London Mathematical Society. s3-21(4). 577–613. 6 indexed citations
19.
Sheil-Small, T.. (1969). On Convex Univalent Functions. Journal of the London Mathematical Society. s2-1(1). 483–492. 20 indexed citations
20.
Sheil-Small, T.. (1969). Some Conformal Mapping Inequalities for Starlike and Convex Functions. Journal of the London Mathematical Society. s2-1(1). 577–587. 9 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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