David Borwein

1.8k total citations
117 papers, 1.2k citations indexed

About

David Borwein is a scholar working on Applied Mathematics, Statistics and Probability and Mathematical Physics. According to data from OpenAlex, David Borwein has authored 117 papers receiving a total of 1.2k indexed citations (citations by other indexed papers that have themselves been cited), including 59 papers in Applied Mathematics, 54 papers in Statistics and Probability and 34 papers in Mathematical Physics. Recurrent topics in David Borwein's work include Approximation Theory and Sequence Spaces (54 papers), Advanced Banach Space Theory (15 papers) and Holomorphic and Operator Theory (14 papers). David Borwein is often cited by papers focused on Approximation Theory and Sequence Spaces (54 papers), Advanced Banach Space Theory (15 papers) and Holomorphic and Operator Theory (14 papers). David Borwein collaborates with scholars based in Canada, United Kingdom and United States. David Borwein's co-authors include Jonathan M. Borwein, Roland Girgensohn, Keith F. Taylor, J. William McGowan, A. Jakimovski, R. Shail, Werner Kratz, Richard E. Crandall, David M. Bradley and J. G. Wan and has published in prestigious journals such as SIAM Journal on Numerical Analysis, Journal of Mathematical Analysis and Applications and Transactions of the American Mathematical Society.

In The Last Decade

David Borwein

105 papers receiving 992 citations

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
David Borwein Canada 19 420 368 346 211 185 117 1.2k
Helmut Maier Germany 14 156 0.4× 71 0.2× 296 0.9× 159 0.8× 139 0.8× 63 900
Evguenii Andreevich Rakhmanov United States 15 603 1.4× 81 0.2× 131 0.4× 145 0.7× 10 0.1× 27 907
Richard Kenyon United States 25 152 0.4× 647 1.8× 79 0.2× 1.2k 5.7× 369 2.0× 68 2.0k
Jay R. Goldman United States 16 94 0.2× 37 0.1× 234 0.7× 131 0.6× 316 1.7× 31 871
T. D. Morley United States 12 156 0.4× 27 0.1× 44 0.1× 60 0.3× 45 0.2× 35 783
Marius Junge United States 22 569 1.4× 214 0.6× 267 0.8× 925 4.4× 16 0.1× 105 1.5k
Louis W. Shapiro United States 18 90 0.2× 79 0.2× 613 1.8× 262 1.2× 1.0k 5.6× 57 1.3k
Irwin Kra United States 20 658 1.6× 15 0.0× 203 0.6× 660 3.1× 159 0.9× 62 1.7k
Carl Ludwig Siegel Germany 14 195 0.5× 12 0.0× 320 0.9× 440 2.1× 96 0.5× 35 1.1k
Stanislav Smirnov Switzerland 20 183 0.4× 620 1.7× 23 0.1× 1.2k 5.9× 37 0.2× 42 1.6k

Countries citing papers authored by David Borwein

Since Specialization
Citations

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

Fields of papers citing papers by David Borwein

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of David Borwein

This figure shows the co-authorship network connecting the top 25 collaborators of David Borwein. A scholar is included among the top collaborators of David Borwein 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 David Borwein. David Borwein 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.
Bailey, David H., David Borwein, & Jonathan M. Borwein. (2013). On Eulerian log-gamma integrals and Tornheim–Witten zeta functions. The Ramanujan Journal. 36(1-2). 43–68. 11 indexed citations
2.
Borwein, David, Jonathan M. Borwein, & Armin Straub. (2012). A Sinc that Sank. American Mathematical Monthly. 119(7). 535–549. 3 indexed citations
3.
Borwein, David, Jonathan M. Borwein, M. L. Glasser, & J. G. Wan. (2011). Moments of Ramanujanʼs generalized elliptic integrals and extensions of Catalanʼs constant. Journal of Mathematical Analysis and Applications. 384(2). 478–496. 15 indexed citations
4.
Słota, Damian, et al.. (2009). A Trig-Of-Trig Inequality: 11309.. American Mathematical Monthly. 116. 184–185.
5.
Borwein, David, et al.. (2007). The evaluation of Bessel functions via exp-arc integrals. Journal of Mathematical Analysis and Applications. 341(1). 478–500. 4 indexed citations
6.
Borwein, David & Werner Kratz. (2004). A one-sided Tauberian theorem for the Borel summability method. Journal of Mathematical Analysis and Applications. 293(1). 285–292. 1 indexed citations
7.
Borwein, David, Werner Kratz, & Ulrich Stadtmüller. (2001). One-Sided Tauberian Theorems for Dirichlet Series Methods of Summability. Rocky Mountain Journal of Mathematics. 31(3). 1 indexed citations
8.
Borwein, David, Jonathan M. Borwein, & Roland Girgensohn. (1995). Explicit evaluation of Euler sums. Proceedings of the Edinburgh Mathematical Society. 38(2). 277–294. 138 indexed citations
9.
Borwein, David & Jonathan M. Borwein. (1994). On Some Trigonometric and Exponential Lattice Sums. Journal of Mathematical Analysis and Applications. 188(1). 209–218. 5 indexed citations
10.
Borwein, David & Rüdiger Kiesel. (1994). Weighted Means and Summability by Generalized Nörlund and Other Methods. Journal of Mathematical Analysis and Applications. 184(3). 607–619. 3 indexed citations
11.
Borwein, David, et al.. (1993). Generalized Hausdorff and Weighted Mean Matrices as Operators on lp. Journal of Mathematical Analysis and Applications. 178(2). 517–528. 3 indexed citations
12.
Borwein, David & Jonathan M. Borwein. (1991). Fixed point iterations for real functions. Journal of Mathematical Analysis and Applications. 157(1). 112–126. 35 indexed citations
13.
Borwein, David & Werner Kratz. (1989). On relations between weighted mean and power series methods of summability. Journal of Mathematical Analysis and Applications. 139(1). 178–186. 12 indexed citations
14.
Borwein, David, et al.. (1989). Enumeration of injective partial transformations. Discrete Mathematics. 73(3). 291–296. 16 indexed citations
15.
Borwein, David, Jonathan M. Borwein, & R. Shail. (1989). Analysis of certain lattice sums. Journal of Mathematical Analysis and Applications. 143(1). 126–137. 23 indexed citations
16.
Borwein, David, et al.. (1986). On generalized Hausdorff matrices. Journal of Approximation Theory. 48(4). 354–360. 2 indexed citations
17.
Borwein, David. (1981). Tauberian Conditions for the Equivalence of Weighted Mean and Power Series Methods of Summability. Canadian Mathematical Bulletin. 24(3). 309–316. 7 indexed citations
18.
Borwein, David. (1978). A Sum of Reciprocals of Least Common Multiples. Canadian Mathematical Bulletin. 21(1). 117–118. 5 indexed citations
19.
Borwein, David, et al.. (1976). Addendum to “Tauberian Theorems for Borel-Type Methods of Summability”. Canadian Mathematical Bulletin. 19(2). 245–246. 2 indexed citations
20.
Borwein, David. (1957). On a scale of Abel-type summability methods. Mathematical Proceedings of the Cambridge Philosophical Society. 53(2). 318–322. 31 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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