Dieter Gaier

1.8k total citations
63 papers, 1.2k citations indexed

About

Dieter Gaier is a scholar working on Geometry and Topology, Applied Mathematics and Computational Mechanics. According to data from OpenAlex, Dieter Gaier has authored 63 papers receiving a total of 1.2k indexed citations (citations by other indexed papers that have themselves been cited), including 23 papers in Geometry and Topology, 19 papers in Applied Mathematics and 11 papers in Computational Mechanics. Recurrent topics in Dieter Gaier's work include Analytic and geometric function theory (12 papers), Advanced Numerical Analysis Techniques (8 papers) and Mathematics and Applications (7 papers). Dieter Gaier is often cited by papers focused on Analytic and geometric function theory (12 papers), Advanced Numerical Analysis Techniques (8 papers) and Mathematics and Applications (7 papers). Dieter Gaier collaborates with scholars based in Germany, United States and United Kingdom. Dieter Gaier's co-authors include Edmund Landau, Philip J. Davis, Ch. Pommerenke, W. K. Hayman, N. Papamichael, J. L. Walsh, John A. Todd, Hubert Delange and Karl Zeller and has published in prestigious journals such as Mathematics of Computation, SIAM Journal on Numerical Analysis and Journal of Mathematical Analysis and Applications.

In The Last Decade

Dieter Gaier

57 papers receiving 907 citations

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Dieter Gaier Germany 16 738 437 221 219 201 63 1.2k
Stefan Bergman United States 13 580 0.8× 247 0.6× 148 0.7× 193 0.9× 224 1.1× 51 1.0k
Norman G. Meyers United States 16 1.1k 1.5× 189 0.4× 115 0.5× 727 3.3× 542 2.7× 24 1.5k
Aurel Wintner United States 20 951 1.3× 278 0.6× 392 1.8× 336 1.5× 307 1.5× 108 1.4k
Ralph E. Edwards 4 427 0.6× 149 0.3× 109 0.5× 259 1.2× 374 1.9× 5 872
Leo Sario United States 19 859 1.2× 720 1.6× 57 0.3× 441 2.0× 506 2.5× 105 1.6k
E. B. Saff United States 14 499 0.7× 133 0.3× 294 1.3× 150 0.7× 88 0.4× 58 782
Marvin Rosenblum United States 18 865 1.2× 156 0.4× 136 0.6× 514 2.3× 677 3.4× 44 1.4k
Paul Koosis Canada 12 686 0.9× 166 0.4× 98 0.4× 188 0.9× 416 2.1× 25 972
Deborah Tepper Haimo United States 13 411 0.6× 65 0.1× 120 0.5× 125 0.6× 243 1.2× 41 749
Jaroslav Kurzweil Czechia 17 519 0.7× 194 0.4× 203 0.9× 237 1.1× 401 2.0× 84 1.2k

Countries citing papers authored by Dieter Gaier

Since Specialization
Citations

This map shows the geographic impact of Dieter Gaier'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 Dieter Gaier with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Dieter Gaier more than expected).

Fields of papers citing papers by Dieter Gaier

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Dieter Gaier. 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 Dieter Gaier. The network helps show where Dieter Gaier may publish in the future.

Co-authorship network of co-authors of Dieter Gaier

This figure shows the co-authorship network connecting the top 25 collaborators of Dieter Gaier. A scholar is included among the top collaborators of Dieter Gaier 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 Dieter Gaier. Dieter Gaier 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.
Gaier, Dieter. (1999). The Faber Operator and its Boundedness. Journal of Approximation Theory. 101(2). 265–277. 23 indexed citations
2.
Gaier, Dieter. (1997). Polynomial Approximation of Conformal Maps. Constructive Approximation. 14(1). 27–40. 10 indexed citations
3.
Gaier, Dieter. (1988). On the convergence of the Bieberbach polynomials in regions with corners. Constructive Approximation. 4(1). 289–305. 35 indexed citations
4.
Landau, Edmund & Dieter Gaier. (1986). Darstellung und Begründung einiger neuerer Ergebnisse der Funktionentheorie. 42 indexed citations
5.
Gaier, Dieter. (1983). Remarks on Alice Roth's Fusion Lemma. Journal of Approximation Theory. 37(3). 246–250. 5 indexed citations
6.
Gaier, Dieter. (1980). Vorlesungen über Approximation im Komplexen. Birkhäuser Basel eBooks. 115 indexed citations
7.
Gaier, Dieter. (1979). Capacitance and the conformal module of quadrilaterals. Journal of Mathematical Analysis and Applications. 70(1). 236–239. 9 indexed citations
8.
Gaier, Dieter. (1974). Ableitungsfreie Abschätzungen bei trigonometrischer Interpolation und Konjugierten-Bestimmung. Computing. 12(2). 145–148. 11 indexed citations
9.
Gaier, Dieter. (1972). . Indiana University Mathematics Journal. 21(7). 581–581. 20 indexed citations
10.
Gaier, Dieter. (1970). Bemerkungen zum Turánschen Lemma. Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg. 35(1-2). 1–7. 3 indexed citations
11.
Davis, Philip J. & Dieter Gaier. (1965). Konstruktive Methoden der konformen abbildung. Mathematics of Computation. 19(92). 699–699. 35 indexed citations
12.
Gaier, Dieter. (1962). On conformal mapping of nearly circular regions. Pacific Journal of Mathematics. 12(1). 149–162. 39 indexed citations
13.
Gaier, Dieter. (1959). Untersuchungen zur Durchführung der konformen Abbildung mehrfach zusammenhängender Gebiete. Archive for Rational Mechanics and Analysis. 3(1). 149–178. 12 indexed citations
14.
Gaier, Dieter. (1957). Note on some gap theorems. Proceedings of the American Mathematical Society. 8(1). 24–28. 1 indexed citations
15.
Gaier, Dieter. (1957). Uber ein Iterationsverfahren von Komatu zur Konformen Abbildung von Ringgebieten. Indiana University Mathematics Journal. 6(4). 865–883. 3 indexed citations
16.
Gaier, Dieter. (1955). On modified Borel methods. Proceedings of the American Mathematical Society. 6(6). 873–879. 4 indexed citations
17.
Gaier, Dieter. (1955). On Modified Borel Methods. Proceedings of the American Mathematical Society. 6(6). 873–873. 1 indexed citations
18.
Walsh, J. L. & Dieter Gaier. (1954). Zur Methode der variablen Gebiete bei der Randverzerrung. Archiv der Mathematik. 6(1). 77–86. 9 indexed citations
19.
Gaier, Dieter. (1954). �ber Interpolation in regelm��ig verteilten Punkten mit Nebenbedingungen. Mathematische Zeitschrift. 61(1). 119–133. 3 indexed citations
20.
Gaier, Dieter. (1953). Zur Frage der Indexverschiebung beim Borel-Verfahren. Mathematische Zeitschrift. 58(1). 453–455. 11 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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