Paul Barry
Impact in
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- Advanced Combinatorial Mathematics
- Algebra and Number Theory top 10%
- Advanced Mathematical Identities
Papers in
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- Advanced Combinatorial Mathematics 41
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- Mathematical functions and polynomials 20
- Co-authors
- Marko D. Petković (6 shared papers)Predrag M. Rajković (4 shared papers)Geoffrey M. Curran (2 shared papers)Elizabeth J. Austin (2 shared papers)Anna Ratzliff (2 shared papers)Emily C. Williams (2 shared papers)John C. Fortney (2 shared papers)Andrew J. Saxon (2 shared papers)
- Journals
- Linear Algebra and its Applications (4 papers)Journal of integer sequences (11 papers)Journal of General Internal Medicine (1 paper)Ars Mathematica Contemporanea (1 paper)Springer monographs in mathematics (1 paper)
- Partner nations
- IrelandSerbiaUnited States
In The Last Decade
Paul Barry
46 papers receiving 308 citations
Peers
Comparison fields: 5 of 82
- Discrete Mathematics and Combinatorics 199
- Algebra and Number Theory 122
- Applied Mathematics 76
- Statistical and Nonlinear Physics 82
- Geometry and Topology 49
Countries citing papers authored by Paul Barry
This map shows the geographic impact of Paul Barry'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 Paul Barry with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Paul Barry more than expected).
Fields of papers citing papers by Paul Barry
This network shows the impact of papers produced by Paul Barry. 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 Paul Barry. The network helps show where Paul Barry may publish in the future.
Co-authors
The 19 scholars most cited alongside Paul Barry, linked wherever they have co-authored with each other. Click a name or a connecting line to browse the papers they share.
All Works
Showing the 20 most-cited of 58 papers — load more, or switch the sort, to bring in the rest.
| # | Work | ||
|---|---|---|---|
| 1 | On Integer-Sequence-Based Constructions of Generalized Pascal Triangles | 2006 | 35 |
| 2 | Meixner-Type Results for Riordan Arrays and Associated Integer Sequences | 2010 | 34 |
| 3 | 2007 | 27 | |
| 4 | On a Family of Generalized Pascal Triangles Defined by Exponential Riordan Arrays | 2007 | 21 |
| 5 | 2023 | 20 | |
| 6 | The rise and rise of Kerry Packer | 1993 | 18 |
| 7 | A Catalan transform and related transformations on integer sequences | 2005 | 17 |
| 8 | 2022 | 15 | |
| 9 | 2022 | 14 | |
| 10 | Continued Fractions and Transformations of Integer Sequences | 2009 | 13 |
| 11 | 2003 | 12 | |
| 12 | On the Central Coefficients of Riordan Matrices | 2013 | 12 |
| 13 | Some Observations on the Lah and Laguerre Transforms of Integer Sequences | 2007 | 10 |
| 14 | Generalized Catalan Numbers, Hankel Transforms and Somos-4 Sequences | 2010 | 8 |
| 15 | Exponential Riordan Arrays and Permutation Enumeration | 2010 | 7 |
| 16 | 2012 | 7 | |
| 17 | On a generalization of the Narayana triangle. | 2011 | 6 |
| 18 | 2010 | 6 | |
| 19 | A Note on Narayana Triangles and Related Polynomials, Riordan Arrays, and MIMO Capacity Calculations | 2011 | 5 |
| 20 | A Note on a Family of Generalized Pascal Matrices Defined by Riordan Arrays | 2013 | 4 |
About Paul Barry
Paul Barry is a scholar working on Discrete Mathematics and Combinatorics, Applied Mathematics, Algebra and Number Theory, Statistical and Nonlinear Physics and Geometry and Topology, having authored 58 papers that have together received 355 indexed citations. Recurring topics across this work include Advanced Combinatorial Mathematics (41 papers), Mathematical functions and polynomials (20 papers), Advanced Mathematical Identities (18 papers), Advanced Mathematical Theories and Applications (9 papers), Mathematics and Applications (8 papers), graph theory and CDMA systems (5 papers), semigroups and automata theory (4 papers) and Coding theory and cryptography (3 papers). The work is most often cited by research in Discrete Mathematics and Combinatorics (199 citations), Algebra and Number Theory (122 citations), Applied Mathematics (76 citations), Statistical and Nonlinear Physics (82 citations) and Geometry and Topology (49 citations). Paul Barry has collaborated with scholars based in Ireland, Serbia and United States. Frequent co-authors include Marko D. Petković, Predrag M. Rajković, Geoffrey M. Curran, Elizabeth J. Austin, Anna Ratzliff, Emily C. Williams, John C. Fortney, Andrew J. Saxon, Gi‐Sang Cheon and Weiping Wang. Their work appears in journals such as Linear Algebra and its Applications, Journal of integer sequences, Journal of General Internal Medicine, Ars Mathematica Contemporanea and Springer monographs in mathematics.
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.